Fluctuation relation for a Lévy particle

Details Fluctuation relation for a Lévy particle Fluctuation relation for a Lévy particle

2007-03-09

arxiv.org/abs/cond-mat/0703254v3

Phys. Rev. E. 76, 020101, 2007

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures, RevTeX4; v2: minor corrections and references added; v3: typos corrected, new conclusion, close to publish

Scientific paper

10.1103/PhysRevE.76.020101

We study the work fluctuations of a particle subjected to a deterministic drag force plus a random forcing whose statistics is of the L\'evy type. In the stationary regime, the probability density of the work is found to have ``fat'' power-law tails which assign a relatively high probability to large fluctuations compared with the case where the random forcing is Gaussian. These tails lead to a strong violation of existing fluctuation theorems, as the ratio of the probabilities of positive and negative work fluctuations of equal magnitude behaves in a non-monotonic way. Possible experiments that could probe these features are proposed.

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