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

The flashing ratchet and unidirectional transport of matter