Relativistic diffusive motion in thermal electromagnetic fields

TL;DR

This paper explores the relativistic motion of particles in a thermal electromagnetic field, deriving a diffusion approximation that generalizes previous models and identifies the Juttner distribution as the equilibrium state.

Contribution

It introduces a generalized diffusion model for relativistic particles in thermal electromagnetic fields, extending prior work by Schay and Dudley.

Findings

Juttner distribution is confirmed as the equilibrium state.

Derived a diffusion approximation for relativistic particle dynamics.

Extended existing diffusion models to relativistic regimes.

Abstract

We discuss relativistic dynamics in a random electromagnetic field which can be considered as a high temperature limit of the quantum electromagnetic field in a heat bath (cavity) moving with a uniform velocity w. We derive diffusion approximation for the particle's dynamics generalizing the diffusion of Schay and Dudley. It is shown that the Juttner distribution is the equilibrium state of the diffusion.