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Differential measurements of the elliptic (v_2) and hexadecapole (v_4)Fourier flow coefficients are reported for charged hadrons as a function oftransverse momentum (p_T) and collision centrality or the number of participantnucleons (N_part) for Au+Au collisions at sqrt(s_NN)=200 GeV. The v_{2,4}measurements at pseudorapidity |\eta|<=0.35 obtained with four separatereaction plane detectors positioned in the range 1.0<|\eta|<3.9 show goodagreement, indicating the absence of significant \eta-dependent nonflowperturbations. Sizable values for v_4(p_T) are observed with a ratiov_4(p_T,N_part)/v_2^2(p_T,N_part)~0.8 for 50<N_part<200, which is compatiblewith the combined effects of a finite viscosity and initial eccentricityfluctuations. For N_part>200 this ratio increases up to 1.7 in the most centralcollisions.

Elliptic and hexadecapole flow of charged hadrons in Au+Au collisions at sqrt(s_NN) = 200 GeV