Dissipative relativistic magnetohydrodynamics of a multicomponent mixture and its application to neutron stars

TL;DR

This paper develops a comprehensive relativistic magnetohydrodynamics framework for multicomponent charged mixtures, incorporating various physical effects, to better model neutron star evolution.

Contribution

It introduces a simplified, applicable set of hydrodynamic equations for multicomponent relativistic mixtures, linking phenomenological coefficients to microscopic theory.

Findings

Formulated hydrodynamic equations for multicomponent relativistic mixtures.

Connected phenomenological diffusion coefficients to microscopic momentum transfer rates.

Applicable to studying magnetothermal evolution of neutron stars.

Abstract

We formulate hydrodynamic equations for nonsuperfluid multicomponent magnetized charged relativistic mixtures, taking into account chemical reactions as well as viscosity, diffusion, thermodiffusion, and thermal conductivity effects. The resulting equations have a rather simple form and can be readily applied, e.g., for studying magnetothermal evolution of neutron stars. We also establish a link between our formalism and the results known in the literature, and express the phenomenological diffusion coefficients through momentum transfer rates which are calculated from microscopic theory.