A Causal Formulation of Dissipative Relativistic Fluid Dynamics with or without Diffusion

TL;DR

This paper introduces a causal, hyperbolic formulation of dissipative relativistic fluid dynamics that incorporates diffusion and is characterized by four key dissipation coefficients, advancing theoretical understanding.

Contribution

It presents a novel five-field, second-order hyperbolic system for dissipative relativistic fluids, including diffusion, with explicit dependence on four dissipation coefficients.

Findings

Formulates a symmetric hyperbolic system ensuring causality.

Incorporates diffusion into relativistic fluid dynamics.

Provides a framework for analyzing dissipative effects in relativistic fluids.

Abstract

The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients eta, zeta, kappa, mu, free functions of the fields, which quantify shear viscosity, bulk viscosity, heat conductivity, and diffusion.