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Nonstationary Transport by Internal White Noise and "Localization" in Ratchets

1996/09/25 by Nikolai Brilliantov, Brilliantov, Nikolai, Peter Strizhak +1
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9609246

submitted to Phys.Rev.Lett., RevTEx, 4 pages, 3 figures (ps)

arxiv created 1996/09/25 · arxiv updated 2009/11/30

Abstract

We revealed a right-left asymmetry of the inter-well mean first passage times for the Brownian particles in a ratchet potential under internal white noise. We showed analytically and numerically that this asymmetry gives rise to the following phenomena: (i) nonstationary transport; (ii) localization or ultraslow (Sinai) diffusion for ratchets with a disorder in the asymmetry parameter of the potential; (iii) equilibrium "drift of labels" in circular ratchets.

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