The flashing ratchet and unidirectional transport of matter

Details The flashing ratchet and unidirectional transport of matter The flashing ratchet and unidirectional transport of matter

2010-03-17

arxiv.org/abs/1003.3422v2

Mathematics

Analysis of PDEs

11 pages

Scientific paper

10.3934/dcdsb.2011.16.963

We study the flashing ratchet model of a Brownian motor, which consists in cyclical switching between the Fokker-Planck equation with an asymmetric ratchet-like potential and the pure diffusion equation. We show that the motor really performs unidirectional transport of mass, for proper parameters of the model, by analyzing the attractor of the problem and the stationary vector of a related Markov chain.

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