New relativistic dissipative fluid dynamics from kinetic theory

TL;DR

This paper derives improved relativistic dissipative fluid dynamics equations from kinetic theory, incorporating nonlocal effects and generating all second-order terms allowed by symmetry, with implications for modeling heavy-ion collisions.

Contribution

It introduces a new derivation method that includes nonlocal effects and produces all second-order terms, improving upon traditional 14-moment approaches.

Findings

Generated all second-order terms allowed by symmetry.

Modified first-order Navier-Stokes equations.

Demonstrated significance in relativistic heavy-ion collision models.

Abstract

Starting with the relativistic Boltzmann equation where the collision term is generalized to include nonlocal effects via gradients of the phase-space distribution function, and using Grad's 14-moment approximation for the distribution function, we derive equations for the relativistic dissipative fluid dynamics. We compare them with the corresponding equations obtained in the standard Israel-Stewart and related approaches. Our method generates all the second-order terms that are allowed by symmetry, some of which have been missed by the traditional approaches based on the 14-moment approximation, and the coefficients of other terms are altered. The first-order or Navier-Stokes equations too get modified. Significance of these findings is demonstrated in the framework of one-dimensional scaling expansion of the matter formed in relativistic heavy-ion collisions.