Internal magnetic field distribution in plasmas

TL;DR

This paper derives the stationary probability distributions of magnetic fields and forces in plasmas, revealing a modified Holtsmark distribution that applies broadly without velocity assumptions, and suggests experimental verification methods.

Contribution

It introduces a generalized approach to calculating magnetic field and force distributions in plasmas without assuming velocity distributions, extending prior models.

Findings

Magnetic field distribution follows Holtsmark distribution.

Force distribution is a modified Holtsmark distribution.

Results are applicable to a wide range of plasma models.

Abstract

We calculate stationary probability distribution of magnetic field, generated by moving charges of plasma environment, and stationary probability distribution of force, acting on charged particle in this environment, with magnetic interaction taken into account. While the former happens to be the Holtsmark distribution, the latter is a modified Holtsmark distribution. In contrast to prior works, we did no assumptions on the velocity distribution function and thus obtained results should be applicable to wider spectrum of models. Presented results can be experimentally verified through studies of Zeeman effect or movement of small charged Brownian particles in plasma.