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This paper presents measurements of charged-hadron spectra obtained in $pp$, $p$+Pb, and Pb+Pb collisions at $\sqrt{s}$ or $\sqrt{s_{_\text{NN}}}=5.02$ TeV, and in Xe+Xe collisions at $\sqrt{s_{_\text{NN}}}=5.44$ TeV. The data recorded by the ATLAS detector at the LHC have total integrated luminosities of 25 pb${}^{-1}$, 28 nb${}^{-1}$, 0.50 nb${}^{-1}$, and 3 $\mu$b${}^{-1}$, respectively. The nuclear modification factors $R_{p\text{Pb}}$ and $R_\text{AA}$ are obtained by comparing the spectra in heavy-ion and $pp$ collisions in a wide range of charged-particle transverse momenta and pseudorapidity. The nuclear modification factor $R_{p\text{Pb}}$ shows a moderate enhancement above unity with a maximum at $p_{\mathrm{T}} \approx 3$ GeV; the enhancement is stronger in the Pb-going direction. The nuclear modification factors in both Pb+Pb and Xe+Xe collisions feature a significant, centrality-dependent suppression. They show a similar distinct $p_{\mathrm{T}}$-dependence with a local maximum at $p_{\mathrm{T}} \approx 2$ GeV and a local minimum at $p_{\mathrm{T}} \approx 7$ GeV. This dependence is more distinguishable in more central collisions. No significant $|\eta|$-dependence is found. A comprehensive comparison with several theoretical predictions is also provided. They typically describe $R_\text{AA}$ better in central collisions and in the $p_{\mathrm{T}}$ range from about 10 to 100 GeV.
Measurements of the azimuthal anisotropy in lead-lead collisions at $\sqrt{s_\mathrm{NN}} = 5.02$ TeV are presented using a data sample corresponding to 0.49 $\mathrm{nb}^{-1}$ integrated luminosity collected by the ATLAS experiment at the LHC in 2015. The recorded minimum-bias sample is enhanced by triggers for "ultra-central" collisions, providing an opportunity to perform detailed study of flow harmonics in the regime where the initial state is dominated by fluctuations. The anisotropy of the charged-particle azimuthal angle distributions is characterized by the Fourier coefficients, $v_{2}-v_{7}$, which are measured using the two-particle correlation, scalar-product and event-plane methods. The goal of the paper is to provide measurements of the differential as well as integrated flow harmonics $v_{n}$ over wide ranges of the transverse momentum, 0.5 $
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-0.1%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-1%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-5%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 5-10%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 10-20%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 20-30%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 30-40%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 40-50%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 50-60%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 60-70%
The V2 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 70-80%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-0.1%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-1%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-5%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 5-10%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 10-20%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 20-30%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 30-40%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 40-50%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 50-60%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 60-70%
The V3 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 70-80%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-0.1%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-1%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-5%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 5-10%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 10-20%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 20-30%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 30-40%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 40-50%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 50-60%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 60-70%
The V4 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 70-80%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-0.1%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-1%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-5%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 5-10%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 10-20%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 20-30%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 30-40%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 40-50%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 50-60%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 60-70%
The V5 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 70-80%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-5%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 5-10%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 10-20%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 20-30%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 30-40%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 40-50%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 50-60%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 60-70%
The V6 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 70-80%
The V7 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 0-5%
The V7 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 5-10%
The V7 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 10-20%
The V7 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 20-30%
The V7 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 30-40%
The V7 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 40-50%
The V7 harmonic measured with the scalar product method as a funtion of transverse momentum in centrality bin 50-60%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 0-5%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 5-10%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 10-20%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 20-30%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 30-40%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 40-50%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 50-60%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 60-70%
The V2 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 70-80%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 0-5%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 5-10%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 10-20%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 20-30%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 30-40%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 40-50%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 50-60%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 60-70%
The V3 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 70-80%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 0-5%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 5-10%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 10-20%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 20-30%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 30-40%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 40-50%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 50-60%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 60-70%
The V4 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 70-80%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 0-5%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 5-10%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 10-20%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 20-30%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 30-40%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 40-50%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 50-60%
The V5 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 60-70%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 0-5%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 5-10%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 10-20%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 20-30%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 30-40%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 40-50%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 50-60%
The V6 harmonic measured with the two particle correlation method as a funtion of transverse momentum in centrality bin 60-70%
The ratio of V2{SP} over V2{EP} as a funtion of transverse momentum in centrality bin 0-5%
The ratio of V2{SP} over V2{EP} as a funtion of transverse momentum in centrality bin 20-30%
The ratio of V2{SP} over V2{EP} as a funtion of transverse momentum in centrality bin 40-50%
The ratio of V3{SP} over V3{EP} as a funtion of transverse momentum in centrality bin 0-5%
The ratio of V3{SP} over V3{EP} as a funtion of transverse momentum in centrality bin 20-30%
The ratio of V3{SP} over V3{EP} as a funtion of transverse momentum in centrality bin 40-50%
The ratio of V4{SP} over V4{EP} as a funtion of transverse momentum in centrality bin 0-5%
The ratio of V4{SP} over V4{EP} as a funtion of transverse momentum in centrality bin 20-30%
The ratio of V4{SP} over V4{EP} as a funtion of transverse momentum in centrality bin 40-50%
The ratio of V5{SP} over V5{EP} as a funtion of transverse momentum in centrality bin 0-5%
The ratio of V5{SP} over V5{EP} as a funtion of transverse momentum in centrality bin 20-30%
The ratio of V5{SP} over V5{EP} as a funtion of transverse momentum in centrality bin 40-50%
The ratio of V6{SP} over V6{EP} as a funtion of transverse momentum in centrality bin 0-5%
The ratio of V6{SP} over V6{EP} as a funtion of transverse momentum in centrality bin 20-30%
The ratio of V6{SP} over V6{EP} as a funtion of transverse momentum in centrality bin 40-50%
The ratio of V2{SP} over V2{EP} as a funtion of MEAN(Npart) integrated over 0.5 < PT < 60 GeV
The ratio of V3{SP} over V3{EP} as a funtion of MEAN(Npart) integrated over 0.5 < PT < 60 GeV
The ratio of V4{SP} over V4{EP} as a funtion of MEAN(Npart) integrated over 0.5 < PT < 60 GeV
The ratio of V5{SP} over V5{EP} as a funtion of MEAN(Npart) integrated over 0.5 < PT < 60 GeV
The ratio of V6{SP} over V6{EP} as a funtion of MEAN(Npart) integrated over 0.5 < PT < 60 GeV
The ratio of V2{SP} over V2{2PC} as a funtion of transverse momentum in centrality bin 0-5%
The ratio of V2{SP} over V2{2PC} as a funtion of transverse momentum in centrality bin 20-30%
The ratio of V2{SP} over V2{2PC} as a funtion of transverse momentum in centrality bin 40-50%
The ratio of V3{SP} over V3{2PC} as a funtion of transverse momentum in centrality bin 0-5%
The ratio of V3{SP} over V3{2PC} as a funtion of transverse momentum in centrality bin 20-30%
The V2 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 0.5 < PT < 0.8 GeV
The V4 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 4 < PT < 8 GeV
The V4 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 8 < PT < 60 GeV
The V4 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 0.5 < PT < 60 GeV
The V5 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 0.5 < PT < 0.8 GeV
The V5 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 0.8 < PT < 1 GeV
The V5 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 1 < PT < 2 GeV
The V5 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 2 < PT < 4 GeV
The V5 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 4 < PT < 8 GeV
The V5 harmonic measured with the event plane method as a funtion of MEAN(Npart) integrated over 8 < PT < 60 GeV
Charged-particle spectra obtained in 0.15 nb${}^{-1}$ of Pb+Pb interactions at $\sqrt{{s}_\mathsf{{NN}}}=2.76$TeV and 4.2 pb${}^{-1}$ of pp interactions at $\sqrt{s}=2.76$ TeV with the ATLAS detector at the LHC are presented in a wide transverse momentum ($0.5 < p_{\mathrm{T}} < 150$ GeV) and pseudorapidity ($|\eta|<2$) range. For Pb+Pb collisions, the spectra are presented as a function of collision centrality, which is determined by the response of the forward calorimeter located on both sides of the interaction point. The nuclear modification factors $R_{\mathrm{AA}}$ and $R_{\mathrm{CP}}$ are presented in detail as function of centrality, $p_{\mathrm{T}}$ and $\eta$. They show a distinct $p_{\mathrm{T}}$-dependence with a pronounced minimum at about 7 GeV. Above 60 GeV, $R_{\mathrm{AA}}$ is consistent with a plateau at a centrality-dependent value, within the uncertainties. The value is $0.55\pm0.01(stat.)\pm0.04(syst.)$ in the most central collisions. The $R_{\mathrm{AA}}$ distribution is consistent with flat $|\eta|$ dependence over the whole transverse momentum range in all centrality classes.
Charged-particle spectra for pp.
Charged-particle spectra in different centrality intervals for Pb+Pb.
Charged-particle spectra in different centrality intervals for Pb+Pb (not shown in Fig. 10).
Charged-particle spectra in different centrality intervals for Pb+Pb.
Charged-particle spectra in different centrality intervals for Pb+Pb (not shown in Fig. 10).
Charged-particle spectra in different centrality intervals for Pb+Pb.
Charged-particle spectra in different centrality intervals for Pb+Pb (not shown in Fig. 10).
Charged-particle spectra in different centrality intervals for Pb+Pb.
Charged-particle spectra in different centrality intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Rcp in different centrality intervals.
Rcp in different centrality intervals (not shown in Fig. 12).
Rcp in different centrality intervals.
Rcp in different centrality intervals (not shown in Fig. 12).
Rcp in different centrality intervals.
Rcp in different centrality intervals (not shown in Fig. 12).
Rcp in different centrality intervals.
Raa in different centrality intervals.
Raa in different centrality intervals (not shown in Fig. 13).
Raa in different centrality intervals.
Raa in different centrality intervals (not shown in Fig. 13).
Raa in different centrality intervals.
Raa in different centrality intervals (not shown in Fig. 13).
Raa in different centrality intervals.
Raa in different centrality intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa.
Raa as a function of <Npart>.
Raa as a function of <Npart>.
Raa as a function of <Npart>.
Raa as a function of <Npart>.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for pp.
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb (not shown in Fig. 17).
Charged-particle spectra in different eta intervals for Pb+Pb.
Charged-particle spectra in different eta intervals for Pb+Pb.
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals (not shown in Fig. 18).
Raa in different eta intervals.
Raa in different eta intervals.
Correlations between the elliptic or triangular flow coefficients $v_m$ ($m$=2 or 3) and other flow harmonics $v_n$ ($n$=2 to 5) are measured using $\sqrt{s_{NN}}=2.76$ TeV Pb+Pb collision data collected in 2010 by the ATLAS experiment at the LHC, corresponding to an integrated lumonisity of 7 $\mu$b$^{-1}$. The $v_m$-$v_n$ correlations are measured in midrapidity as a function of centrality, and, for events within the same centrality interval, as a function of event ellipticity or triangularity defined in a forward rapidity region. For events within the same centrality interval, $v_3$ is found to be anticorrelated with $v_2$ and this anticorrelation is consistent with similar anticorrelations between the corresponding eccentricities $\epsilon_2$ and $\epsilon_3$. On the other hand, it is observed that $v_4$ increases strongly with $v_2$, and $v_5$ increases strongly with both $v_2$ and $v_3$. The trend and strength of the $v_m$-$v_n$ correlations for $n$=4 and 5 are found to disagree with $\epsilon_m$-$\epsilon_n$ correlations predicted by initial-geometry models. Instead, these correlations are found to be consistent with the combined effects of a linear contribution to $v_n$ and a nonlinear term that is a function of $v_2^2$ or of $v_2v_3$, as predicted by hydrodynamic models. A simple two-component fit is used to separate these two contributions. The extracted linear and nonlinear contributions to $v_4$ and $v_5$ are found to be consistent with previously measured event-plane correlations.
$v_{2}$ data for various $q_2$ bins, Centrality 0-5%.
$v_{3}$ data for various $q_2$ bins, Centrality 0-5%.
$v_{4}$ data for various $q_2$ bins, Centrality 0-5%.
$v_{5}$ data for various $q_2$ bins, Centrality 0-5%.
$v_{2}$ data for various $q_2$ bins, Centrality 5-10%.
$v_{3}$ data for various $q_2$ bins, Centrality 5-10%.
$v_{4}$ data for various $q_2$ bins, Centrality 5-10%.
$v_{5}$ data for various $q_2$ bins, Centrality 5-10%.
$v_{2}$ data for various $q_2$ bins, Centrality 10-15%.
$v_{3}$ data for various $q_2$ bins, Centrality 10-15%.
$v_{4}$ data for various $q_2$ bins, Centrality 10-15%.
$v_{5}$ data for various $q_2$ bins, Centrality 10-15%.
$v_{2}$ data for various $q_2$ bins, Centrality 15-20%.
$v_{3}$ data for various $q_2$ bins, Centrality 15-20%.
$v_{4}$ data for various $q_2$ bins, Centrality 15-20%.
$v_{5}$ data for various $q_2$ bins, Centrality 15-20%.
$v_{2}$ data for various $q_2$ bins, Centrality 20-25%.
$v_{3}$ data for various $q_2$ bins, Centrality 20-25%.
$v_{4}$ data for various $q_2$ bins, Centrality 20-25%.
$v_{5}$ data for various $q_2$ bins, Centrality 20-25%.
$v_{2}$ data for various $q_2$ bins, Centrality 25-30%.
$v_{3}$ data for various $q_2$ bins, Centrality 25-30%.
$v_{4}$ data for various $q_2$ bins, Centrality 25-30%.
$v_{5}$ data for various $q_2$ bins, Centrality 25-30%.
$v_{2}$ data for various $q_2$ bins, Centrality 30-35%.
$v_{3}$ data for various $q_2$ bins, Centrality 30-35%.
$v_{4}$ data for various $q_2$ bins, Centrality 30-35%.
$v_{5}$ data for various $q_2$ bins, Centrality 30-35%.
$v_{2}$ data for various $q_2$ bins, Centrality 35-40%.
$v_{3}$ data for various $q_2$ bins, Centrality 35-40%.
$v_{4}$ data for various $q_2$ bins, Centrality 35-40%.
$v_{5}$ data for various $q_2$ bins, Centrality 35-40%.
$v_{2}$ data for various $q_2$ bins, Centrality 40-45%.
$v_{3}$ data for various $q_2$ bins, Centrality 40-45%.
$v_{4}$ data for various $q_2$ bins, Centrality 40-45%.
$v_{5}$ data for various $q_2$ bins, Centrality 40-45%.
$v_{2}$ data for various $q_2$ bins, Centrality 45-50%.
$v_{3}$ data for various $q_2$ bins, Centrality 45-50%.
$v_{4}$ data for various $q_2$ bins, Centrality 45-50%.
$v_{5}$ data for various $q_2$ bins, Centrality 45-50%.
$v_{2}$ data for various $q_2$ bins, Centrality 50-55%.
$v_{3}$ data for various $q_2$ bins, Centrality 50-55%.
$v_{4}$ data for various $q_2$ bins, Centrality 50-55%.
$v_{5}$ data for various $q_2$ bins, Centrality 50-55%.
$v_{2}$ data for various $q_2$ bins, Centrality 55-60%.
$v_{3}$ data for various $q_2$ bins, Centrality 55-60%.
$v_{4}$ data for various $q_2$ bins, Centrality 55-60%.
$v_{5}$ data for various $q_2$ bins, Centrality 55-60%.
$v_{2}$ data for various $q_2$ bins, Centrality 60-65%.
$v_{3}$ data for various $q_2$ bins, Centrality 60-65%.
$v_{4}$ data for various $q_2$ bins, Centrality 60-65%.
$v_{5}$ data for various $q_2$ bins, Centrality 60-65%.
$v_{2}$ data for various $q_2$ bins, Centrality 65-70%.
$v_{3}$ data for various $q_2$ bins, Centrality 65-70%.
$v_{4}$ data for various $q_2$ bins, Centrality 65-70%.
$v_{5}$ data for various $q_2$ bins, Centrality 65-70%.
$v_{2}$ data for various $q_2$ bins, Centrality 0-10%.
$v_{3}$ data for various $q_2$ bins, Centrality 0-10%.
$v_{4}$ data for various $q_2$ bins, Centrality 0-10%.
$v_{5}$ data for various $q_2$ bins, Centrality 0-10%.
$v_{2}$ data for various $q_2$ bins, Centrality 10-20%.
$v_{3}$ data for various $q_2$ bins, Centrality 10-20%.
$v_{4}$ data for various $q_2$ bins, Centrality 10-20%.
$v_{5}$ data for various $q_2$ bins, Centrality 10-20%.
$v_{2}$ data for various $q_2$ bins, Centrality 20-30%.
$v_{3}$ data for various $q_2$ bins, Centrality 20-30%.
$v_{4}$ data for various $q_2$ bins, Centrality 20-30%.
$v_{5}$ data for various $q_2$ bins, Centrality 20-30%.
$v_{2}$ data for various $q_2$ bins, Centrality 30-40%.
$v_{3}$ data for various $q_2$ bins, Centrality 30-40%.
$v_{4}$ data for various $q_2$ bins, Centrality 30-40%.
$v_{5}$ data for various $q_2$ bins, Centrality 30-40%.
$v_{2}$ data for various $q_2$ bins, Centrality 40-50%.
$v_{3}$ data for various $q_2$ bins, Centrality 40-50%.
$v_{4}$ data for various $q_2$ bins, Centrality 40-50%.
$v_{5}$ data for various $q_2$ bins, Centrality 40-50%.
$v_{2}$ data for various $q_3$ bins, Centrality 0-5%.
$v_{3}$ data for various $q_3$ bins, Centrality 0-5%.
$v_{4}$ data for various $q_3$ bins, Centrality 0-5%.
$v_{5}$ data for various $q_3$ bins, Centrality 0-5%.
$v_{2}$ data for various $q_3$ bins, Centrality 5-10%.
$v_{3}$ data for various $q_3$ bins, Centrality 5-10%.
$v_{4}$ data for various $q_3$ bins, Centrality 5-10%.
$v_{5}$ data for various $q_3$ bins, Centrality 5-10%.
$v_{2}$ data for various $q_3$ bins, Centrality 10-15%.
$v_{3}$ data for various $q_3$ bins, Centrality 10-15%.
$v_{4}$ data for various $q_3$ bins, Centrality 10-15%.
$v_{5}$ data for various $q_3$ bins, Centrality 10-15%.
$v_{2}$ data for various $q_3$ bins, Centrality 15-20%.
$v_{3}$ data for various $q_3$ bins, Centrality 15-20%.
$v_{4}$ data for various $q_3$ bins, Centrality 15-20%.
$v_{5}$ data for various $q_3$ bins, Centrality 15-20%.
$v_{2}$ data for various $q_3$ bins, Centrality 20-25%.
$v_{3}$ data for various $q_3$ bins, Centrality 20-25%.
$v_{4}$ data for various $q_3$ bins, Centrality 20-25%.
$v_{5}$ data for various $q_3$ bins, Centrality 20-25%.
$v_{2}$ data for various $q_3$ bins, Centrality 25-30%.
$v_{3}$ data for various $q_3$ bins, Centrality 25-30%.
$v_{4}$ data for various $q_3$ bins, Centrality 25-30%.
$v_{5}$ data for various $q_3$ bins, Centrality 25-30%.
$v_{2}$ data for various $q_3$ bins, Centrality 30-35%.
$v_{3}$ data for various $q_3$ bins, Centrality 30-35%.
$v_{4}$ data for various $q_3$ bins, Centrality 30-35%.
$v_{5}$ data for various $q_3$ bins, Centrality 30-35%.
$v_{2}$ data for various $q_3$ bins, Centrality 35-40%.
$v_{3}$ data for various $q_3$ bins, Centrality 35-40%.
$v_{4}$ data for various $q_3$ bins, Centrality 35-40%.
$v_{5}$ data for various $q_3$ bins, Centrality 35-40%.
$v_{2}$ data for various $q_3$ bins, Centrality 40-45%.
$v_{3}$ data for various $q_3$ bins, Centrality 40-45%.
$v_{4}$ data for various $q_3$ bins, Centrality 40-45%.
$v_{5}$ data for various $q_3$ bins, Centrality 40-45%.
$v_{2}$ data for various $q_3$ bins, Centrality 45-50%.
$v_{3}$ data for various $q_3$ bins, Centrality 45-50%.
$v_{4}$ data for various $q_3$ bins, Centrality 45-50%.
$v_{5}$ data for various $q_3$ bins, Centrality 45-50%.
$v_{2}$ data for various $q_3$ bins, Centrality 50-55%.
$v_{3}$ data for various $q_3$ bins, Centrality 50-55%.
$v_{4}$ data for various $q_3$ bins, Centrality 50-55%.
$v_{5}$ data for various $q_3$ bins, Centrality 50-55%.
$v_{2}$ data for various $q_3$ bins, Centrality 55-60%.
$v_{3}$ data for various $q_3$ bins, Centrality 55-60%.
$v_{4}$ data for various $q_3$ bins, Centrality 55-60%.
$v_{5}$ data for various $q_3$ bins, Centrality 55-60%.
$v_{2}$ data for various $q_3$ bins, Centrality 60-65%.
$v_{3}$ data for various $q_3$ bins, Centrality 60-65%.
$v_{4}$ data for various $q_3$ bins, Centrality 60-65%.
$v_{5}$ data for various $q_3$ bins, Centrality 60-65%.
$v_{2}$ data for various $q_3$ bins, Centrality 65-70%.
$v_{3}$ data for various $q_3$ bins, Centrality 65-70%.
$v_{4}$ data for various $q_3$ bins, Centrality 65-70%.
$v_{5}$ data for various $q_3$ bins, Centrality 65-70%.
$v_{2}$ data for various $q_3$ bins, Centrality 0-10%.
$v_{3}$ data for various $q_3$ bins, Centrality 0-10%.
$v_{4}$ data for various $q_3$ bins, Centrality 0-10%.
$v_{5}$ data for various $q_3$ bins, Centrality 0-10%.
$v_{2}$ data for various $q_3$ bins, Centrality 10-20%.
$v_{3}$ data for various $q_3$ bins, Centrality 10-20%.
$v_{4}$ data for various $q_3$ bins, Centrality 10-20%.
$v_{5}$ data for various $q_3$ bins, Centrality 10-20%.
$v_{2}$ data for various $q_3$ bins, Centrality 20-30%.
$v_{3}$ data for various $q_3$ bins, Centrality 20-30%.
$v_{4}$ data for various $q_3$ bins, Centrality 20-30%.
$v_{5}$ data for various $q_3$ bins, Centrality 20-30%.
$v_{2}$ data for various $q_3$ bins, Centrality 30-40%.
$v_{3}$ data for various $q_3$ bins, Centrality 30-40%.
$v_{4}$ data for various $q_3$ bins, Centrality 30-40%.
$v_{5}$ data for various $q_3$ bins, Centrality 30-40%.
$v_{2}$ data for various $q_3$ bins, Centrality 40-50%.
$v_{3}$ data for various $q_3$ bins, Centrality 40-50%.
$v_{4}$ data for various $q_3$ bins, Centrality 40-50%.
$v_{5}$ data for various $q_3$ bins, Centrality 40-50%.
$v_{2}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{2}$ correlation within each centrality.
$v_{2}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{2}$ correlation within each centrality.
$v_{2}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{2}$ correlation within each centrality.
$v_{2}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{2}$ correlation within each centrality.
$v_{2}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{2}$ correlation within each centrality.
$v_{3}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{3}$ correlation within each centrality.
$v_{3}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{3}$ correlation within each centrality.
$v_{3}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{3}$ correlation within each centrality.
$v_{3}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{3}$ correlation within each centrality.
$v_{2}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{3}$ correlation for various q2 bins within each centrality.
$v_{2}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{3}$ correlation for various q2 bins within each centrality.
$v_{2}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{3}$ correlation for various q2 bins within each centrality.
$v_{2}$ - $v_{3}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{3}$ correlation for various q2 bins within each centrality.
linear fit result of $v_{2}$ - $v_{3}$ correlation within each centrality.
$v_{3}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{2}$ correlation for various q3 bins within each centrality.
$v_{3}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{2}$ correlation for various q3 bins within each centrality.
$v_{3}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{2}$ correlation for various q3 bins within each centrality.
$v_{3}$ - $v_{2}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{2}$ correlation for various q3 bins within each centrality.
$v_{2}$ - $v_{4}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{4}$ correlation for various q2 bins within each centrality.
$v_{2}$ - $v_{4}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{4}$ correlation for various q2 bins within each centrality.
$v_{2}$ - $v_{4}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{4}$ correlation for various q2 bins within each centrality.
$v_{2}$ - $v_{4}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{4}$ correlation for various q2 bins within each centrality.
$v_{3}$ - $v_{4}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{4}$ correlation within each centrality.
$v_{3}$ - $v_{4}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{4}$ correlation within each centrality.
$v_4$ decomposed into linear and nonlinear contributions based on q2 event-shape selection.
$v_4$ decomposed into linear and nonlinear contributions based on q2 event-shape selection.
$v_4$ decomposed into linear and nonlinear contributions based on q2 event-shape selection.
$v_4$ decomposed into linear and nonlinear contributions based on q2 event-shape selection.
$v_4$ decomposed into linear and nonlinear contributions based on q2 event-shape selection.
$v_5$ decomposed into linear and nonlinear contributions based on q2 event-shape selection.
$v_5$ decomposed into linear and nonlinear contributions based on q3 event-shape selection.
RMS eccentricity scaled v_n.
RMS eccentricity scaled v_n.
$v_{2}$ - $v_{5}$ inclusive correlation in 5% centrality intervals.
$v_{2}$ - $v_{5}$ correlation for various q2 bins within each centrality.
$v_{3}$ - $v_{5}$ inclusive correlation in 5% centrality intervals.
$v_{3}$ - $v_{5}$ correlation for various q2 bins within each centrality.
Measurements of two-particle correlation functions and the first five azimuthal harmonics, $v_1$ to $v_5$, are presented, using 28 $\mathrm{nb}^{-1}$ of $p$+Pb collisions at a nucleon-nucleon center-of-mass energy of $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV measured with the ATLAS detector at the LHC. Significant long-range "ridge-like" correlations are observed for pairs with small relative azimuthal angle ($|\Delta\phi|<\pi/3$) and back-to-back pairs ($|\Delta\phi| > 2\pi/3$) over the transverse momentum range $0.4 < p_{\rm T} < 12$ GeV and in different intervals of event activity. The event activity is defined by either the number of reconstructed tracks or the total transverse energy on the Pb-fragmentation side. The azimuthal structure of such long-range correlations is Fourier decomposed to obtain the harmonics $v_n$ as a function of $p_{\rm T}$ and event activity. The extracted $v_n$ values for $n=2$ to 5 decrease with $n$. The $v_2$ and $v_3$ values are found to be positive in the measured $p_{\rm T}$ range. The $v_1$ is also measured as a function of $p_{\rm T}$ and is observed to change sign around $p_{\rm T}\approx 1.5$-2.0 GeV and then increase to about 0.1 for $p_{\rm T}>4$ GeV. The $v_2(p_{\rm T})$, $v_3(p_{\rm T})$ and $v_4(p_{\rm T})$ are compared to the $v_n$ coefficients in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}} =2.76$ TeV with similar event multiplicities. Reasonable agreement is observed after accounting for the difference in the average $p_{\rm T}$ of particles produced in the two collision systems.
ATLAS measurements of the azimuthal anisotropy in lead-lead collisions at $\sqrt{s_{NN}}=2.76$ TeV are shown using a dataset of approximately 7 $\mu$b$^{-1}$ collected at the LHC in 2010. The measurements are performed for charged particles with transverse momenta $0.5<p_T<20$ GeV and in the pseudorapidity range $|\eta|<2.5$. The anisotropy is characterized by the Fourier coefficients, $v_n$, of the charged-particle azimuthal angle distribution for n = 2-4. The Fourier coefficients are evaluated using multi-particle cumulants calculated with the generating function method. Results on the transverse momentum, pseudorapidity and centrality dependence of the $v_n$ coefficients are presented. The elliptic flow, $v_2$, is obtained from the two-, four-, six- and eight-particle cumulants while higher-order coefficients, $v_3$ and $v_4$, are determined with two- and four-particle cumulants. Flow harmonics $v_n$ measured with four-particle cumulants are significantly reduced compared to the measurement involving two-particle cumulants. A comparison to $v_n$ measurements obtained using different analysis methods and previously reported by the LHC experiments is also shown. Results of measurements of flow fluctuations evaluated with multi-particle cumulants are shown as a function of transverse momentum and the collision centrality. Models of the initial spatial geometry and its fluctuations fail to describe the flow fluctuations measurements.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 0-2%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 0-2%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 40-50%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 10-20%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 20-30%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 30-40%.
The triangular flow harmonic measured with the two-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The triangular flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 0-25%.
The triangular flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The triangular flow harmonic measured with the two-particle cumulats as a function of transverse momentum in centrality bin 25-60%.
The triangular flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 25-60%.
The triangular flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 25-60%.
The quadrangular flow harmonic measured with the two-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The quadrangular flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 0-25%.
The quadrangular flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 0-2%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 0-2%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 60-80%.
The triangular flow harmonic measured with the two-particle cumulats as a function of pseudorapidity in centrality bin 0-60%.
The triangular flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 0-60%.
The triangular flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 0-60%.
The quadrangular flow harmonic measured with the two-particle cumulats as a function of pseudorapidity in centrality bin 0-25%.
The quadrangular flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 0-25%.
The quadrangular flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 0-25%.
The second flow harmonic measured with the two-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the four-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the six-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the eight-particle cumulats as a function of <Npart>.
The ratio of second flow harmonics measured with the six- and four-particle cumulants as a function of <Npart>.
The ratio of second flow harmonics measured with the eight- and four-particle cumulants as a function of <Npart>.
The second flow harmonic measured with the Event Plane method as a function of <Npart>.
The triangular flow harmonic measured with the Event Plane method as a function of <Npart>.
The triangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The triangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The quadrangular flow harmonic measured with the Event Plane method as a function of <Npart>.
The quadrangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The quadrangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic fluctuations, F(v2), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v3), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v4), as a function of <Npart>.
The second flow harmonic measured with the two-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the four-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the six-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the eight-particle cumulats as a function of <Npart>.
The ratio of second flow harmonics measured with the six- and four-particle cumulants as a function of <Npart>.
The ratio of second flow harmonics measured with the eight- and four-particle cumulants as a function of <Npart>.
The triangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The quadrangular flow harmonic measured with the Event Plane method as a function of <Npart>.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic fluctuations, F(v2), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v3), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v4), as a function of <Npart>.
Measurements of charged-particle fragmentation functions of jets produced in ultra-relativistic nuclear collisions can provide insight into the modification of parton showers in the hot, dense medium created in the collisions. ATLAS has measured jets in $\sqrt{s_{NN}} = 2.76$ TeV Pb+Pb collisions at the LHC using a data set recorded in 2011 with an integrated luminosity of 0.14 nb$^{-1}$. Jets were reconstructed using the anti-$k_{t}$ algorithm with distance parameter values $R$ = 0.2, 0.3, and 0.4. Distributions of charged-particle transverse momentum and longitudinal momentum fraction are reported for seven bins in collision centrality for $R=0.4$ jets with $p_{{T}}^{\mathrm{jet}}> 100$ GeV. Commensurate minimum $p_{\mathrm{T}}$ values are used for the other radii. Ratios of fragment distributions in each centrality bin to those measured in the most peripheral bin are presented. These ratios show a reduction of fragment yield in central collisions relative to peripheral collisions at intermediate $z$ values, $0.04 \lesssim z \lesssim 0.2$ and an enhancement in fragment yield for $z \lesssim 0.04$. A smaller, less significant enhancement is observed at large $z$ and large $p_{\mathrm{T}}$ in central collisions.
Differences of D(Z) distributions in different centralities with respect to peripheral events for R = 0.3 jets. The errors represent combined statistical and systematic uncertainties.
Differences of D(Z) distributions in different centralities with respect to peripheral events for R = 0.2 jets. The errors represent combined statistical and systematic uncertainties.
D(z) distribution for R=0.4 jets.
D(z) distribution for R=0.4 jets.
D(z) distribution for R=0.4 jets.
D(z) distribution for R=0.4 jets.
D(z) distribution for R=0.4 jets.
D(z) distribution for R=0.4 jets.
D(z) distribution for R=0.4 jets.
D(z) distribution for R=0.3 jets.
D(z) distribution for R=0.3 jets.
D(z) distribution for R=0.3 jets.
D(z) distribution for R=0.3 jets.
D(z) distribution for R=0.3 jets.
D(z) distribution for R=0.3 jets.
D(z) distribution for R=0.3 jets.
D(z) distribution for R=0.2 jets.
D(z) distribution for R=0.2 jets.
D(z) distribution for R=0.2 jets.
D(z) distribution for R=0.2 jets.
D(z) distribution for R=0.2 jets.
D(z) distribution for R=0.2 jets.
D(z) distribution for R=0.2 jets.
D(pt) distribution for R=0.4 jets.
D(pt) distribution for R=0.4 jets.
D(pt) distribution for R=0.4 jets.
D(pt) distribution for R=0.4 jets.
D(pt) distribution for R=0.4 jets.
D(pt) distribution for R=0.4 jets.
D(pt) distribution for R=0.4 jets.
D(pt) distribution for R=0.3 jets.
D(pt) distribution for R=0.3 jets.
D(pt) distribution for R=0.3 jets.
D(pt) distribution for R=0.3 jets.
D(pt) distribution for R=0.3 jets.
D(pt) distribution for R=0.3 jets.
D(pt) distribution for R=0.3 jets.
D(pt) distribution for R=0.2 jets.
D(pt) distribution for R=0.2 jets.
D(pt) distribution for R=0.2 jets.
D(pt) distribution for R=0.2 jets.
D(pt) distribution for R=0.2 jets.
D(pt) distribution for R=0.2 jets.
D(pt) distribution for R=0.2 jets.
Ratio of D(z) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(z) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.4 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.3 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.2 jets for central to peripheral events.
Ratio of D(pt) distributions for R=0.2 jets for central to peripheral events.
The integrated elliptic flow of charged particles produced in Pb+Pb collisions at sqrt(s_NN)=2.76 TeV has been measured with the ATLAS detector using data collected at the Large Hadron Collider. The anisotropy parameter, v_2, was measured in the pseudorapidity range |eta| <= 2.5 with the event-plane method. In order to include tracks with very low transverse momentum pT, thus reducing the uncertainty in v_2 integrated over pT, a 1 mu b-1 data sample without a magnetic field in the tracking detectors is used. The centrality dependence of the integrated v_2 is compared to other measurements obtained with higher pT thresholds. A weak pseudorapidity dependence of the integrated elliptic flow is observed for central collisions, and a small decrease when moving away from mid-rapidity is observed only in peripheral collisions. The integrated v2 transformed to the rest frame of one of the colliding nuclei is compared to the lower-energy RHIC data.
A measurement of event-plane correlations involving two or three event planes of different order is presented as a function of centrality for 7 ub-1 Pb+Pb collision data at sqrt(s_NN)=2.76 TeV, recorded by the ATLAS experiment at the LHC. Fourteen correlators are measured using a standard event-plane method and a scalar-product method, and the latter method is found to give a systematically larger correlation signal. Several different trends in the centrality dependence of these correlators are observed. These trends are not reproduced by predictions based on the Glauber model, which includes only the correlations from the collision geometry in the initial state. Calculations that include the final-state collective dynamics are able to describe qualitatively, and in some cases also quantitatively, the centrality dependence of the measured correlators. These observations suggest that both the fluctuations in the initial geometry and non-linear mixing between different harmonics in the final state are important for creating these correlations in momentum space.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Two-plane EP correlation data from SP method and EP method.
Two-plane EP correlation from Glauber model from SP method and EP method.
Three-plane EP correlation data from SP method and EP method.
Three-plane EP correlation from Glauber model from SP method and EP method.
Three-plane EP correlation data from SP method and EP method.
Three-plane EP correlation from Glauber model from SP method and EP method.
Three-plane EP correlation data from SP method and EP method.
Three-plane EP correlation from Glauber model from SP method and EP method.
Three-plane EP correlation data from SP method and EP method.
Three-plane EP correlation from Glauber model from SP method and EP method.
Three-plane EP correlation data from SP method and EP method.
Three-plane EP correlation from Glauber model from SP method and EP method.
Three-plane EP correlation data from SP method and EP method.
Three-plane EP correlation from Glauber model from SP method and EP method.
The distributions of event-by-event harmonic flow coefficients v_n for n=2-4 are measured in sqrt(s_NN)=2.76 TeV Pb+Pb collisions using the ATLAS detector at the LHC. The measurements are performed using charged particles with transverse momentum pT> 0.5 GeV and in the pseudorapidity range |eta|<2.5 in a dataset of approximately 7 ub^-1 recorded in 2010. The shapes of the v_n distributions are described by a two-dimensional Gaussian function for the underlying flow vector in central collisions for v_2 and over most of the measured centrality range for v_3 and v_4. Significant deviations from this function are observed for v_2 in mid-central and peripheral collisions, and a small deviation is observed for v_3 in mid-central collisions. It is shown that the commonly used multi-particle cumulants are insensitive to the deviations for v_2. The v_n distributions are also measured independently for charged particles with 0.5<pT<1 GeV and pT>1 GeV. When these distributions are rescaled to the same mean values, the adjusted shapes are found to be nearly the same for these two pT ranges. The v_n distributions are compared with the eccentricity distributions from two models for the initial collision geometry: a Glauber model and a model that includes corrections to the initial geometry due to gluon saturation effects. Both models fail to describe the experimental data consistently over most of the measured centrality range.
The relationship between centrality intervals and MEAN(Npart) estimated from the Glauber model.
The MEAN(Npart) dependence of MEAN(V2) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of SIGMA(V2) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of SIGMA(V2)/MEAN(V2) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of MEAN(V3) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of SIGMA(V3) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of SIGMA(V3)/MEAN(V3) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of MEAN(V4) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of SIGMA(V4) for three pT ranges together with the total systematic uncertainties.
The MEAN(Npart) dependence of SIGMA(V4)/MEAN(V4) for three pT ranges together with the total systematic uncertainties.
Eccentricity curves for EPSILON2 in Figure 12.
Eccentricity curves for EPSILON3 in Figure 12.
Eccentricity curves for EPSILON4 in Figure 12.
Comparison of MEAN(V2) and SQRT(MEAN(V2**2)), derived from the EbyE V2 distributions, with the V2(EP), for charged particles in the pT > 0.5 GeV range.
The ratios of SQRT(MEAN(V2**2)) and V2(EP) to MEAN(V2), for charged particles in the pT > 0.5 GeV range.
Comparison of MEAN(V3) and SQRT(MEAN(V3**2)), derived from the EbyE V3 distributions, with the V3(EP), for charged particles in the pT > 0.5 GeV range.
The ratios of SQRT(MEAN(V3**2)) and V3(EP) to MEAN(V3), for charged particles in the pT > 0.5 GeV range.
Comparison of MEAN(V4) and SQRT(MEAN(V4**2)), derived from the EbyE V4 distributions, with the V4(EP), for charged particles in the pT > 0.5 GeV range.
The ratios of SQRT(MEAN(V4**2)) and V4(EP) to MEAN(V4), for charged particles in the pT > 0.5 GeV range.
Comparison of MEAN(V2) and SQRT(MEAN(V2**2)), derived from the EbyE V2 distributions, with the V2(EP), for charged particles in the 0.5 < pT < 1 GeV range.
The ratios of SQRT(MEAN(V2**2)) and V2(EP) to MEAN(V2), for charged particles in the 0.5 < pT < 1 GeV range.
Comparison of MEAN(V3) and SQRT(MEAN(V3**2)), derived from the EbyE V3 distributions, with the V3(EP), for charged particles in the 0.5 < pT < 1 GeV range.
The ratios of SQRT(MEAN(V3**2)) and V3(EP) to MEAN(V3), for charged particles in the 0.5 < pT < 1 GeV range.
Comparison of MEAN(V4) and SQRT(MEAN(V4**2)), derived from the EbyE V4 distributions, with the V4(EP), for charged particles in the 0.5 < pT < 1 GeV range.
The ratios of SQRT(MEAN(V4**2)) and V4(EP) to MEAN(V4), for charged particles in the 0.5 < pT < 1 GeV range.
Comparison of MEAN(V2) and SQRT(MEAN(V2**2)), derived from the EbyE V2 distributions, with the V2(EP), for charged particles in the pT > 1 GeV range.
The ratios of SQRT(MEAN(V2**2)) and V2(EP) to MEAN(V2), for charged particles in the pT > 1 GeV range.
Comparison of MEAN(V3) and SQRT(MEAN(V3**2)), derived from the EbyE V3 distributions, with the V3(EP), for charged particles in the pT > 1 GeV range.
The ratios of SQRT(MEAN(V3**2)) and V3(EP) to MEAN(V3), for charged particles in the pT > 1 GeV range.
Comparison of MEAN(V4) and SQRT(MEAN(V4**2)), derived from the EbyE V4 distributions, with the V4(EP), for charged particles in the pT > 1 GeV range.
The ratios of SQRT(MEAN(V4**2)) and V4(EP) to MEAN(V4), for charged particles in the pT > 1 GeV range.
Bessel-Gaussian fit parameters from Eq. (1.4) and total errors.
The dependence of MEAN(V2) and V2(RP) on MEAN(Npart).
The dependence of SIGMA(V2) and DELTA(V2) on MEAN(Npart).
The dependence of SIGMA(V2) / MEAN(V2) and DELTA(V2) / V2(RP) on MEAN(Npart).
Comparison of the V2(RP) obtained from the Bessel-Gaussian fit of the V2 distributions with the values for two-particle (V2(calc){2}), four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants calculated directly from the unfolded V2 distributions.
The ratios of the four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the fit results (V2(RP)), with the total uncertainties.
The ratios of the six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the four-particle (V2(calc){4}) cumulants, with the total uncertainties.
Comparison of the V3(RP) obtained from the Bessel-Gaussian fit of the V3 distributions with the values for two-particle (V3(calc){2}), four-particle (V3(calc){4}), six-particle (V3(calc){6}) and eight-particle (V3(calc){8}) cumulants calculated directly from the unfolded V3 distributions.
The ratios of the four-particle (V3(calc){4}), six-particle (V3(calc){6}) and eight-particle (V3(calc){8}) cumulants to the fit results (V3(RP)), with the total uncertainties.
The ratios of the six-particle (V3(calc){6}) and eight-particle (V3(calc){8}) cumulants to the four-particle (V3(calc){4}) cumulants, with the total uncertainties.
The standard deviation (SIGMA(V2)), the width obtained from Bessel-Gaussian function (DELTA(V2)), the width F1 = SQRT( ( V2(calc){2}**2 - V2(calc){4}**2 ) / 2 ) estimated from the two-particle cumulant (V2(calc){2}) and four-particle cumulant (V2(calc){4}), where these cumulants are calculated analytically via Eq. (5.3) from the V2 distribution.
Various estimates of the relative fluctuations given as SIGMA(V2) / MEAN(V2), DELTA(V2) / V2(RP), F2 = SQRT( ( V2(calc){2}**2 - V2(calc){4}**2) / ( 2*V2(calc){4}**2 ) ) and F3 = SQRT( ( V2(calc){2}**2 - V2(calc){4}**2) / ( V2(calc){2}**2 + V2(calc){4}**2 ) ).
Comparison in 0.5 < pT < 1 GeV of the V2(RP) obtained from the Bessel-Gaussian fit of the V2 distributions with the values for two-particle (V2(calc){2}), four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants calculated directly from the unfolded V2 distributions.
The ratios for 0.5 < pT < 1 GeV of the four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the fit results (V2(RP)), with the total uncertainties.
The ratios for 0.5 < pT < 1 GeV of the six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the four-particle (V2(calc){4}) cumulants, with the total uncertainties.
Comparison in pT > 1 GeV of the V2(RP) obtained from the Bessel-Gaussian fit of the V2 distributions with the values for two-particle (V2(calc){2}), four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants calculated directly from the unfolded V2 distributions.
The ratios for pT > 1 GeV of the four-particle (V2(calc){4}), six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the fit results (V2(RP)), with the total uncertainties.
The ratios for pT > 1 GeV of the six-particle (V2(calc){6}) and eight-particle (V2(calc){8}) cumulants to the four-particle (V2(calc){4}) cumulants, with the total uncertainties.
The values of V2(RP) and V2(RP,obs) obtained from the Bessel-Gaussian fits to the V2 and V2(obs) distributions, with the statistical uncertainties.
The values of DELTA(V2) and DELTA(V2,obs) obtained from the Bessel-Gaussian fits to the V2 and V2(obs) distributions, with the statistical uncertainties.
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