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The flashing ratchet and unidirectional transport of matter

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  • 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 indeed 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.
    Mathematics Subject Classification: 35B10, 35Q84, 60J10, 60J70, 82C70.


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