WIAS Preprint No. 590, (2000)

Unidirectional transport in stochastic ratchets



Authors

  • Milstein, Grigori N.
  • Tretyakov, Michael V.

2010 Mathematics Subject Classification

  • 60H10 93E30

Keywords

  • Noise-driven systems, Brownian ratchets, boundary value problems of parabolic type

DOI

10.20347/WIAS.PREPRINT.590

Abstract

Constructive conditions for existence of the unidirectional transport are given for systems with state-dependent noise and for forced thermal ratchets. Using them, domains of parameters corresponding to the unidirectional transport are indicated. Some results of numerical experiments are presented.

Appeared in

  • Stochastics and Dynamics, vol.1 (2001), no.3, pp. 361-375, under new title: Noice-induced unidirectional transport.

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