Modeling of relativistic ion-acoustic waves in ultra-degenerate plasmas

TL;DR

This paper investigates relativistic ion-acoustic waves in ultra-degenerate plasmas, comparing kinetic and hydrodynamic models, and demonstrates the consistency of hydrodynamic equations with kinetic results using Chandrasekhar's equation of state.

Contribution

It provides a rigorous comparison between kinetic and hydrodynamic models for relativistic ion-acoustic waves in ultra-degenerate plasmas, validating hydrodynamic equations against kinetic results.

Findings

Kinetic linear dispersion relation is reproduced by hydrodynamic equations.

Hydrodynamic models with Chandrasekhar's equation of state are consistent with kinetic models.

Critical assessment of fluid models for relativistic ion-acoustic waves.

Abstract

We consider the relativistic ion-acoustic mode in a plasma composed by cold ions and an ultra-degenerate electron gas, described the relativistic Vlasov-Poisson system. A critical examination of popular fluid models for relativistic ion-acoustic waves is provided, comparing kinetic and hydrodynamic results. The kinetic linear dispersion relation is shown to be reproduced by the rigorous relativistic hydrodynamic equations with Chandrasekhar's equation of state.