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

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

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Condensed Matter

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https://dspace.dare.co.zw/handle/123456789/99995

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