Correspondence between momentum dependent relaxation time and field redefinition of relativistic hydrodynamic theory

Abstract

In this article a correspondence has been established between the out of equilibrium system dissipation and the thermodynamic field redefinition of the macroscopic variables through the momentum dependent relaxation time approximation (MDRTA) solution of relativistic transport equation. Here, it has been shown that the out of equilibrium thermodynamic fields are not uniquely defined and are subjected to include dissipative effects from the medium. A second order relativistic hydrodynamic theory has been developed including such dissipative effects. The necessary conditions for developing a hydrodynamic theory has been fulfilled, (i) the thermodynamic identities incorporating such redefined fields have been shown to conserve the energy-momentum tensor perfectly under MDRTA, (ii) the non-negativity of entropy production remains unaffected by the inclusion of such dissipative contributions in hydro fields as long as the independent transport coefficients remain positive.

Accepted in Physical Review C

References in corpus (5)

• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
• Relativistic Dissipative Hydrodynamic Equations at the Second Order for Multi-Component Systems with Multiple Conserved Currents
• Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems
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Cited by in corpus (4)

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• An expedition to the islands of stability in the first-order causal hydrodynamics
• Causality and stability analysis of first-order field redefinition in relativistic hydrodynamics from kinetic theory