Delay-induced transport in a rocking ratchet under feedback control

作者：Loos Sarah A M^*; Gernert Robert; Klapp Sabine H L

来源：Physical Review E, 2014, 89(5): 052136.

DOI：10.1103/PhysRevE.89.052136

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 %26quot;switching position%26quot;). 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.

• 出版日期2014-5-27