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  • Title: Fluctuation relation for a Lévy particle.
    Author: Touchette H, Cohen EG.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2007 Aug; 76(2 Pt 1):020101. PubMed ID: 17929995.
    Abstract:
    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.
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