Kramers equation for a charged Brownian particle: The exact solution

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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minor corrections

Scientific paper

10.1016/j.physa.2005.03.034

We report the exact fundamental solution for Kramers equation associated to a
brownian gas of charged particles, under the influence of homogeneous
(spatially uniform) otherwise arbitrary, external mechanical, electrical and
magnetic fields. Some applications are presented, namely the
hydrothermodynamical picture for Brownian motion in the long time regime.

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