Fluctuation relation for a Lévy particle.
We study the work fluctuations of a particle subjected to a deterministic drag force plus a random forcing whose statistics is of the Lévy 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 nonmonotonic way. Possible experiments that could probe these features are proposed.
Touchette
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H
School of Mathematical Sciences, Queen Mary, University of London, London E1 4NS, United Kingdom. ht@maths.qmul.ac.uk
Cohen
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EG