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Differential measurements of charged particle azimuthal anisotropy arepresented for lead-lead collisions at sqrt(s_NN) = 2.76 TeV with the ATLASdetector at the LHC, based on an integrated luminosity of approximately 8mb^-1. This anisotropy is characterized via a Fourier expansion of thedistribution of charged particles in azimuthal angle (phi), with thecoefficients v_n denoting the magnitude of the anisotropy. Significant v_2-v_6values are obtained as a function of transverse momentum (0.5<pT<20 GeV),pseudorapidity (|eta|<2.5) and centrality using an event plane method. The v_nvalues for n>=3 are found to vary weakly with both eta and centrality, andtheir pT dependencies are found to follow an approximate scaling relation,v_n^{1/n}(pT) \propto v_2^{1/2}(pT). A Fourier analysis of the charged particlepair distribution in relative azimuthal angle (Dphi=phi_a-phi_b) is performedto extract the coefficients v_{n,n}=<cos (n Dphi)>. For pairs of chargedparticles with a large pseudorapidity gap (|Deta=eta_a-eta_b|>2) and oneparticle with pT<3 GeV, the v_{2,2}-v_{6,6} values are found to factorize asv_{n,n}(pT^a,pT^b) ~ v_n(pT^a)v_n(pT^b) in central and mid-central events. Suchfactorization suggests that these values of v_{2,2}-v_{6,6} are primarily dueto the response of the created matter to the fluctuations in the geometry ofthe initial state. A detailed study shows that the v_{1,1}(pT^a,pT^b) data areconsistent with the combined contributions from a rapidity-even v_1 and globalmomentum conservation. A two-component fit is used to extract the v_1contribution. The extracted v_1 is observed to cross zero at pT\sim1.0 GeV,reaches a maximum at 4-5 GeV with a value comparable to that for v_3, anddecreases at higher pT.

Measurement of the azimuthal anisotropy for charged particle production in sqrt(s_NN) = 2.76 TeV lead-lead collisions with the ATLAS detector