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• W2024069008 abstract "We consider the motion of an overdamped particle in a periodic potential lacking spatial symmetry under the influence of symmetric, white, L'evy noise, being a minimal setup for a ``L'evy ratchet.'' Due to the nonthermal character of the L'evy noise, the particle exhibits a motion with a preferred direction even in the absence of whatever additional time-dependent forces. The examination of the L'evy ratchet has to be based on the characteristics of directionality which are different from typically used measures such as mean current and the dispersion of particle positions, since these become inappropriate when the moments of the noise diverge. To overcome this problem, we discuss robust measures of directionality of transport such as the position of the median of the particle displacement distribution characterizing the group velocity and the interquantile distance giving the measure of the distribution width. Moreover, we analyze the behavior of splitting probabilities for leaving an interval of a given length, unveiling qualitative differences between the noises with L'evy indices below and above unity." @default.
• W2024069008 created "2016-06-24" @default.
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• W2024069008 date "2008-07-21" @default.
• W2024069008 modified "2023-09-24" @default.
• W2024069008 title "Transport in a Lévy ratchet: Group velocity and distribution spread" @default.
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• W2024069008 doi "https://doi.org/10.1103/physreve.78.011117" @default.
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