Nonextensive perfect hydrodynamics — a model of dissipative relativistic hydrodynamics?

Takeshi Osada 1  and Grzegorz Wilk 2
  • 1 Theoretical Physics Lab., Faculty of Knowledge Engineering, Musashi Institute of Technology, Setagaya-ku, Tokyo, 158-8557, Japan
  • 2 The Andrzej Sołtan Institute for Nuclear Studies, Theoretical Physics Department, ul. Hoża 69, 00-681, Warsaw, Poland

Abstract

We demonstrate that nonextensive perfect relativistic hydrodynamics (q-hydrodynamics) can serve as a model of the usual relativistic dissipative hydrodynamics (d-hydrodynamics) therefore facilitating considerably its applications. As an 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, ζ/s and η/srespectively.

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