Second order dissipative fluid dynamics from kinetic theory

TL;DR

This paper derives second order dissipative fluid dynamics equations from the relativistic Boltzmann equation, providing a comprehensive, frame-independent calculation of all relevant terms and coefficients, including previously neglected ones.

Contribution

It offers a complete, frame-independent derivation of second order dissipative fluid dynamics from kinetic theory, extending prior work by including all terms and coefficients.

Findings

All first- and second-order terms are explicitly calculated.

The derivation restores previously neglected terms.

The method is frame independent.

Abstract

We derive the equations of second order dissipative fluid dynamics from the relativistic Boltzmann equation following the method of W. Israel and J. M. Stewart. We present a frame independent calculation of all first- and second-order terms and their coefficients using a linearised collision integral. Therefore, we restore all terms that were previously neglected in the original papers of W. Israel and J. M. Stewart.