Internal magnetic field distribution in plasmas

Abstract

We calculate stationary probability distribution of a magnetic field, generated by moving charges of the plasma environment, and stationary probability distribution of force, acting on a charged particle in this environment, with the 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 studies, we did no assumptions on the velocity distribution function and thus the obtained results should be applicable to a wider spectrum of models (with any velocity distribution—not only plasma may be considered). The presented results can be experimentally verified through studies of the Zeeman effect or movement of small charged Brownian particles in plasma.We calculate stationary probability distribution of a magnetic field, generated by moving charges of the plasma environment, and stationary probability distribution of force, acting on a charged particle in this environment, with the 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 studies, we did no assumptions on the velocity distribution function and thus the obtained results should be applicable to a wider spectrum of models (with any velocity distribution—not only plasma may be considered). The presented results can be experimentally verified through studies of the Zeeman effect or movement of small charged Brownian particles in plasma.