4.7 Article

Delay-induced transport in a rocking ratchet under feedback control

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PHYSICAL REVIEW E
卷 89, 期 5, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.89.052136

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Based on the Fokker-Planck equation we investigate the transport of an overdamped colloidal particle in a static, asymmetric periodic potential supplemented by a time-dependent, delayed feedback force, F-fc. For a given time t, F-fc depends on the status of the system at a previous time t - iota(D), with iota(D) being a delay time, specifically on the delayed mean particle displacement (relative to some switching position). For nonzero delay times F-fc(t) develops nearly regular oscillations, generating a net current in the system. Depending on the switching position, this current is nearly as large or even larger than that in a conventional open-loop rocking ratchet. We also investigate thermodynamic properties of the delayed nonequilibrium system and we suggest an underlying Langevin equation which reproduces the Fokker-Planck results.

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