Variational thermodynamics of relativistic thin disks

TL;DR

This paper develops a relativistic two-fluid model for thin disks with electromagnetic fields, integrating variational thermodynamics to analyze their thermodynamic properties and suggesting a shift from single to multi-fluid interpretations.

Contribution

It introduces a relativistic two-fluid thermodynamic model for thin disks with electromagnetic fields, extending previous single-fluid approaches.

Findings

Thermodynamic variables are determined within the model.

Asymptotic analysis favors a two-fluid over a single-fluid interpretation.

The model is compatible with variational multi-fluid thermodynamics formalism.

Abstract

We present a relativistic model describing a thin disk system composed of two fluids. The system is surrounded by a halo in the presence of a non-trivial electromagnetic field. We show that the model is compatible with the variational multi-fluid thermodynamics formalism, allowing us to determine all the thermodynamic variables associated with the matter content of the disk. The asymptotic behaviour of these quantities indicates that the single fluid interpretation should be abandoned in favour of a two-fluid model.