Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.99.070601
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dc.titleAnalytical solution to transport in Brownian ratchets via the Gambler's ruin model
dc.contributor.authorCheng, X.Z.
dc.contributor.authorJalil, M.B.A.
dc.contributor.authorLee, H.K.
dc.date.accessioned2014-04-24T07:19:41Z
dc.date.available2014-04-24T07:19:41Z
dc.date.issued2007-08-16
dc.identifier.citationCheng, X.Z., Jalil, M.B.A., Lee, H.K. (2007-08-16). Analytical solution to transport in Brownian ratchets via the Gambler's ruin model. Physical Review Letters 99 (7) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.99.070601
dc.identifier.issn00319007
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/50866
dc.description.abstractWe present an analogy between the classic gambler's ruin problem and the thermally activated dynamics in periodic Brownian ratchets. By considering each periodic unit of the ratchet as a site chain, we calculated the transition probabilities and mean first passage time for transitions between energy minima of adjacent units. We consider the specific case of Brownian ratchets driven by Markov dichotomous noise. The explicit solution for the current is derived for any arbitrary temperature, and is verified numerically by Langevin simulations. The conditions for current reversal in the ratchet are obtained and discussed. © 2007 The American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevLett.99.070601
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentNUS NANOSCIENCE & NANOTECH INITIATIVE
dc.contributor.departmentELECTRICAL & COMPUTER ENGINEERING
dc.description.doi10.1103/PhysRevLett.99.070601
dc.description.sourcetitlePhysical Review Letters
dc.description.volume99
dc.description.issue7
dc.description.page-
dc.description.codenPRLTA
dc.identifier.isiut000248866900006
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