Current inversion in a periodically driven two-dimensional Brownian ratchet
Nils E. Strand,
Rueih-Sheng Fu,
Todd R. Gingrich
Abstract:It is well-known that Brownian ratchets can exhibit current reversals, wherein the sign of the current switches as a function of the driving frequency. We introduce a spatial discretization of such a two-dimensional Brownian ratchet to enable spectral methods that efficiently compute those currents. These discrete-space models provide a convenient way to study the Markovian dynamics conditioned upon generating particular values of the currents. By studying such conditioned processes, we demonstrate that low-fr… Show more
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