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The event-by-event distributions of harmonic flow coefficients v_n for n=2-4are measured in Pb-Pb collisions at sqrt(s_nn)=2.76 TeV with the ATLASdetector, using charged particles with p_T > 0.5 GeV and |\eta|<2.5. The shapeof the v_n distributions is consistent with Gaussian fluctuations in centralcollisions for v_2 and over the measured centrality range for v_3 and v_4. Whenthese distributions are rescaled to have the same <v_n>, the resulting shapesare nearly the same for p_T>1 GeV and 0.5<p_T<1 GeV. The v_n distributions arecompared with the eccentricity distributions from two initial geometry models:Glauber and the MC-KLN model. Both fail to describe the v_2 data consistentlyover the full centrality range

Measurement of the distributions of event-by-event flow harmonics in Pb-Pb Collisions at sqrt(s_nn)=2.76 TeV with the ATLAS detector