Brownian motion in a magnetic field

Details Brownian motion in a magnetic field Brownian motion in a magnetic field

2000-05-22

arxiv.org/abs/cond-mat/0005353v1

Phys. Rev. E 63, (2001), 187-198

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.63.021105

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.

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