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Anisotropic flow coefficients and their fluctuations are investigated forAu+Au collisions at center of mass energy $\sqrt{s_{NN}}$ = 200 GeV by using amulti-phase transport model with string melting scenario. Experimental resultsof azimuthal anisotropies by means of the two- and four-particle cumulants aregenerally well reproduced by the model including both parton cascade andhadronic rescatterings. Event-by-event treatments of the harmonic flowcoefficients $v_n$ (for n = 2, 3 and 4) are performed, in which eventdistributions of $v_n$ for different orders are consistent with Gaussian shapesover all centrality bins. Systematic studies on centrality, transverse momentum($p_{T}$) and pseudo-rapidity ($\eta$) dependencies of anisotropic flows andquantitative estimations of the flow fluctuations are presented. The $p_{T}$and $\eta$ dependencies of absolute fluctuations for both $v_2$ and $v_3$follow similar trends as their flow coefficients. Relative fluctuation oftriangular flow $v_3$ is slightly centrality-dependent, which is quitedifferent from that of elliptic flow $v_2$. It is observed that parton cascadehas a large effect on the flow fluctuations, but hadronic scatterings makelittle contribution to the flow fluctuations, which indicates flow fluctuationsare mainly modified during partonic evolution stage.

Anisotropic flow and flow fluctuations for Au + Au at $\sqrt{s_{NN}}$ = 200 GeV in a multiphase transport model