Nonextensive hydrodynamics for relativistic heavy-ion collisions

Details Nonextensive hydrodynamics for relativistic heavy-ion collisions Nonextensive hydrodynamics for relativistic heavy-ion collisions

2007-10-10

arxiv.org/abs/0710.1905v4

Phys.Rev.C77:044903,2008; Erratum-ibid.C78:069903,2008

Physics

Nuclear Physics

Nuclear Theory

Final version accepted for publication in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.77.044903

The nonextensive one-dimensional version of a hydrodynamical model for multiparticle production processes is proposed and discussed. It is based on nonextensive statistics assumed in the form proposed by Tsallis and characterized by a nonextensivity parameter $q$. In this formulation the parameter $q$ characterizes some specific form of local equilibrium which is characteristic for the nonextensive thermodynamics and which replaces the usual local thermal equilibrium assumption of the usual hydrodynamical models. We argue that there is correspondence between the perfect nonextensive hydrodynamics and the usual dissipative hydrodynamics. It leads to simple expression for dissipative entropy current and allows for predictions for the ratio of bulk and shear viscosities to entropy density, $\zeta/s$ and $\eta/s$, to be made.

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