Fluid dynamical equations and transport coefficients of relativistic gases with non-extensive statistics

TL;DR

This paper derives relativistic fluid dynamical equations using non-extensive statistics, evaluates transport coefficients with relaxation time approximation, and explores how non-extensive effects influence dissipative phenomena at high energies.

Contribution

It introduces a framework for relativistic fluid dynamics based on Tsallis' non-extensive entropy and calculates associated transport coefficients.

Findings

Non-extensive effects modify heat conductivity, shear, and bulk viscosity.

Transport coefficients are evaluated within the relaxation time approximation.

Non-extensive statistics impact dissipative phenomena at relativistic energies.

Abstract

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate non-extensive effects in leading order dissipative phenomena at relativistic energies, like heat conductivity, shear and bulk viscosity.