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Title: Analytical solution to transport in Brownian ratchets via the Gambler's ruin model
Authors: Cheng, X.Z. 
Jalil, M.B.A. 
Lee, H.K.
Issue Date: 16-Aug-2007
Citation: Cheng, 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.
Abstract: We 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.
Source Title: Physical Review Letters
ISSN: 00319007
DOI: 10.1103/PhysRevLett.99.070601
Appears in Collections:Staff Publications

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