Nonextensive perfect hydrodynamics - a model of dissipative relativistic hydrodynamics?

Abstract

We demonstrate that nonextensive perfect relativistic hydrodynamics ($q$-hydrodynamics) can serve as a model of the usual relativistic dissipative hydrodynamics ($d$-hydrodynamics) facilitating therefore considerably its applications. As illustration we show how using $q$-hydrodynamics one gets the $q$-dependent expressions for the dissipative entropy current and the corresponding ratios of the bulk and shear viscosities to entropy density, $\zeta /s$ and $\eta /s$.

Comments: Invited talk presented at SigmaPhi2008 conference, Kolymbari, Crete, 14-18 July 2008, revised version to be published in Cent. Eur. J. Phys. (2009)