Multipole solution of hydrodynamics and higher order harmonics

Csanád, Máté and Szabo, Andras (2014) Multipole solution of hydrodynamics and higher order harmonics. PHYSICAL REVIEW C, 90 (5). ISSN 2469-9985

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Abstract

The time evolution of the medium created in heavy ion collisions can be described by hydrodynamical models. After expansion and cooling, the hadrons are created in a freeze-out. Their distribution describes the final state of this medium. In particular their azimuthal asymmetry, characterized by the elliptic flow coefficient v_2, is one of the most important observables in heavy ion physics. In the last years it has been revealed that if measuring relative to higher order event planes Psi_n, higher order flow coefficients v_n for n>2 can be measured. This is due to initial state fluctuations, previously not described by analytic solutions of relativistic hydrodynamics. In this paper we show the first solutions that utilize higher order asymmetries and thus yield realistic v_n flow coefficients. We also compare our results to PHENIX measurements.

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