On an exact hydrodynamic solution for the elliptic flow

Details On an exact hydrodynamic solution for the elliptic flow On an exact hydrodynamic solution for the elliptic flow

2009-06-04

arxiv.org/abs/0906.0941v2

Phys.Rev.C80:024907,2009

Physics

Nuclear Physics

Nuclear Theory

10 pages, 4 figures

Scientific paper

10.1103/PhysRevC.80.024907

Looking for the underlying hydrodynamic mechanisms determining the elliptic flow we show that for an expanding relativistic perfect fluid the transverse flow may derive from a solvable hydrodynamic potential, if the entropy is transversally conserved and the corresponding expansion "quasi-stationary", that is mainly governed by the temperature cooling. Exact solutions for the velocity flow coefficients $v_2$ and the temperature dependence of the spatial and momentum anisotropy are obtained and shown to be in agreement with the elliptic flow features of heavy-ion collisions.

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