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

Nikolai Brilliantov; Peter Strizhak

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

Nikolai Brilliantov·Peter Strizhak

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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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Nikolai Brilliantov, Peter Strizhak. 1996-09-25. Nonstationary Transport by Internal White Noise and "Localization" in Ratchets. https://arxiv.org/abs/cond-mat/9609246

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