Brownian motion in a magnetic field.
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.
Czopnik
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Institute of Theoretical Physics, University of Wroclaw, PL-50 205 Wroclaw, Poland.
Garbaczewski
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