Relativistic hydrodynamics from Boltzmann equation with modified collision term

TL;DR

This paper extends the relativistic Boltzmann equation by incorporating nonlocal effects into the collision term, deriving new dissipative fluid dynamics equations, and demonstrating their impact on hydrodynamic evolution.

Contribution

It introduces a generalized collision term with nonlocal effects and derives new evolution equations using Grad's 14-moment approximation, comparing them with existing models.

Findings

Generalized collision term affects hydrodynamic evolution.

Derived equations differ from Israel-Stewart approach.

Significant impact shown in one-dimensional expansion.

Abstract

Generalizing the collision term in the relativistic Boltzmann equation to include nonlocal effects, and using Grad's 14-moment approximation for the single-particle distribution function, we derive evolution equations for the relativistic dissipative fluid dynamics and compare them with the corresponding equations obtained in the standard Israel-Stewart and related approaches. Significance of this generalization on hydrodynamic evolution is demonstrated in the framework of one-dimensional scaling expansion.