Nonextensive perfect hydrodynamics - a model of dissipative relativistic hydrodynamics?

TL;DR

This paper proposes that nonextensive perfect relativistic hydrodynamics, or q-hydrodynamics, can effectively model dissipative relativistic hydrodynamics, providing explicit expressions for entropy and viscosity ratios.

Contribution

It introduces a novel approach where q-hydrodynamics models dissipative effects in relativistic fluids, simplifying applications and calculations.

Findings

Derived q-dependent expressions for entropy current

Obtained ratios of bulk and shear viscosities to entropy density

Demonstrated the model's applicability to dissipative 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 $\eta/s$.