Brownian motion in a magnetic field
Statistical Mechanics
2009-10-31 v1
Abstract
We derive explicit forms of Markovian transition probability densities for the velocity space, phase-space and the Smoluchowski configuration-space Brownian motion of a charged particle in a constant magnetic field. By invoking a hydrodynamical formalism for those stochastic processes, we quantify a continual (net on the local average) heat transfer from the thermostat to diffusing particles.
Cite
@article{arxiv.cond-mat/0005353,
title = {Brownian motion in a magnetic field},
author = {R. Czopnik and P. Garbaczewski},
journal= {arXiv preprint arXiv:cond-mat/0005353},
year = {2009}
}