Temperature dependent sound velocity in hydrodynamic equations for relativistic heavy-ion collisions

Details Temperature dependent sound velocity in hydrodynamic equations for relativistic heavy-ion collisions Temperature dependent sound velocity in hydrodynamic equations for relativistic heavy-ion collisions

2007-09-11

arxiv.org/abs/0709.1594v1

Physics

Nuclear Physics

Nuclear Theory

6 pages, 3 figures, talk given at SQM'07 Levoca, Slovakia

Scientific paper

10.1088/0954-3899/35/4/044074

We analyze the effects of different forms of the sound-velocity function cs(T) on the hydrodynamic evolution of matter formed in the central region of relativistic heavy-ion collisions. At high temperatures (above the critical temperature Tc) the sound velocity is calculated from the recent lattice simulations of QCD, while in the low temperature region it is obtained from the hadron gas model. In the intermediate region we use different interpolations characterized by the values of the sound velocity at the local maximum (at T = 0.4 Tc) and local minimum (at T = Tc). In all considered cases the temperature dependent sound velocity functions yield the entropy density, which is consistent with the lattice QCD simulations at high temperature. Our calculations show that the presence of a distinct minimum of the sound velocity leads to a very long (about 20 fm/c) evolution time of the system, which is not compatible with the recent estimates based on the HBT interferometry. Hence, we conclude that the hydrodynamic description is favored in the case where the cross-over phase transition renders the smooth sound velocity function with a possible shallow minimum at Tc.

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