Fluctuation relations for a driven Brownian particle

Details Fluctuation relations for a driven Brownian particle Fluctuation relations for a driven Brownian particle

2006-03-20

arxiv.org/abs/cond-mat/0603506v2

PHYS. REV. E 74, 026106 (2006).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.74.026106

We consider a driven Brownian particle, subject to both conservative and non-conservative applied forces, whose probability evolves according to the Kramers equation. We derive a general fluctuation relation, expressing the ratio of the probability of a given Brownian path in phase space with that of the time-reversed path, in terms of the entropy flux to the heat reservoir. This fluctuation relation implies those of Seifert, Jarzynski and Gallavotti-Cohen in different special cases.

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