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Current inversion in a periodically driven two-dimensional Brownian ratchet

Authors :
Strand, Nils E.
Fu, Rueih-Sheng
Gingrich, Todd R.
Source :
Phys. Rev. E 102, 012141 (2020)
Publication Year :
2020

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-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.<br />Comment: 13 pages, 10 figures

Details

Database :
arXiv
Journal :
Phys. Rev. E 102, 012141 (2020)
Publication Type :
Report
Accession number :
edsarx.2003.14350
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevE.102.012141