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Abstract <p>In this paper, we discuss the construction of nonextensive relativistic dissipative hydrodynamics of identical particles on the basis of the relativistic kinetic equation obtained earlier in the <i>q</i>-nonextensive context of the Tsallis statistics with taking into account correlation effects (by rejecting the standard hypothesis on molecular chaos) in the collision term. It has been shown that a local collisional equilibrium is described by a generalized version of the relativistic Jüttner distribution. With this distribution, all thermodynamic parameters of state are defined in an explicit form. Linear constitutive relations and transport coefficients, such as shear viscosity, bulk viscosity, and heat conductivity, are derived from the linearized collision integral written in the Anderson−Witting form and evaluated with the relaxation time approximation. The constructed nonextensive relativistic hydrodynamics is to model a wide range of phenomena in astrophysics, cosmology, and high-energy physics.</p>

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To the Derivation of Relativistic Hydrodynamic Equations for a Rarefied Nonideal Gas System of High-Energy Particles in the Framework of Tsallis Statistics

  • 期刊论文

  • 发表日期：

    2025年4月5日

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  • A. V. Kolesnichenko

摘要

Abstract

In this paper, we discuss the construction of nonextensive relativistic dissipative hydrodynamics of identical particles on the basis of the relativistic kinetic equation obtained earlier in the q-nonextensive context of the Tsallis statistics with taking into account correlation effects (by rejecting the standard hypothesis on molecular chaos) in the collision term. It has been shown that a local collisional equilibrium is described by a generalized version of the relativistic Jüttner distribution. With this distribution, all thermodynamic parameters of state are defined in an explicit form. Linear constitutive relations and transport coefficients, such as shear viscosity, bulk viscosity, and heat conductivity, are derived from the linearized collision integral written in the Anderson−Witting form and evaluated with the relaxation time approximation. The constructed nonextensive relativistic hydrodynamics is to model a wide range of phenomena in astrophysics, cosmology, and high-energy physics.