Current inversion in a periodically driven two-dimensional Brownian ratchet

Nils E. Strand, Rueih Sheng Fu, Todd R. Gingrich

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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-frequency negative values of current arise from typical events and high-frequency positive values of current arises from rare events. We demonstrate how these observations can inform the sculpting of time-dependent potential landscapes with a specific frequency response.

Original languageEnglish (US)
Article number012141
JournalPhysical Review E
Issue number1
StatePublished - Jul 2020

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability


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