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      Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions

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          Abstract

          We investigate how the initial geometry of a heavy-ion collision is transformed into final flow observables by solving event-by-event ideal hydrodynamics with realistic fluctuating initial conditions. We study quantitatively to what extent anisotropic flow (v_n) is determined by the initial eccentricity epsilon_n for a set of realistic simulations, and we discuss which definition of epsilon_n gives the best estimator of v_n. We find that the common practice of using an r^2 weight in the definition of varepsilon_n in general results in a poorer predictor of v_n than when using r^n weight, for n > 2. We similarly study the importance of additional properties of the initial state. For example, we show that in order to correctly predict v_4 and v_5 for non-central collisions, one must take into account nonlinear terms proportional to (epsilon_2)^2 and (epsilon_2)*(epsilon_3), respectively. We find that it makes no difference whether one calculates the eccentricities over a range of rapidity, or in a single slice at z=0, nor is it important whether one uses an energy or entropy density weight. This knowledge will be important for making a more direct link between experimental observables and hydrodynamic initial conditions, the latter being poorly constrained at present.

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          Anisotropy as a signature of transverse collective flow

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            Methods for analyzing anisotropic flow in relativistic nuclear collisions

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              Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics

              We present results for the elliptic and triangular flow coefficients in Au+Au collisions at root-s=200 AGeV using event-by-event (3+1)D viscous hydrodynamic simulations. We study the effect of initial state fluctuations and finite viscosities on the flow coefficients v_2 and v_3 as functions of transverse momentum and pseudo-rapidity. Fluctuations are essential to reproduce the measured centrality dependence of elliptic flow. We argue that simultaneous measurements of v_2 and v_3 can determine eta/s more precisely.
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                Author and article information

                Journal
                28 November 2011
                2012-03-05
                Article
                10.1103/PhysRevC.85.024908
                1111.6538
                a05fd9ea-7a10-4d8c-ac95-9a124c0031a2

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Saclay t11/212
                Phys. Rev. C 85, 024908 (2012)
                Version accepted for publication (minor changes); 7 pages, 4 figues; Figure data files included with source
                nucl-th hep-ph

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