On the kinetic foundations of Kaluza's magnetohydrodynamics

TL;DR

This paper develops a kinetic theory foundation for Kaluza's magnetohydrodynamics within general relativity, providing a new perspective on thermodynamic forces in electromagnetic transport processes.

Contribution

It introduces a kinetic theory framework for Kaluza's formalism, extending the description of thermodynamic forces beyond special relativity.

Findings

Kinetic theory basis for Kaluza's magnetohydrodynamics established

Novel description of thermodynamic forces in electromagnetic transport

Extension from special relativity to general relativity framework

Abstract

Recent work has shown the existence of a relativistic effect present in a single component non-equilibrium fluid, corresponding to a heat flux due to an electric field. The treatment in that work was limited to a four-dimensional Minkowksi space-time in which the Boltzmann equation was treated in a special relativistic approach. The more complete framework of general relativity can be introduced to kinetic theory in order to describe transport processes associated to electromagnetic fields. In this context the original Kaluza's formalism is a promising approach. The present work contains a kinetic theory basis for Kaluza's magnetohydrodynamics and gives a novel description for the establishment of thermodynamic forces beyond the special relativistic description.