Unidirectional transport in stochastic ratchets
- Milstein, Grigori N.
- Tretyakov, Michael V.
2010 Mathematics Subject Classification
- 60H10 93E30
- Noise-driven systems, Brownian ratchets, boundary value problems of parabolic type
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.
- Stochastics and Dynamics, vol.1 (2001), no.3, pp. 361-375, under new title: Noice-induced unidirectional transport.