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Efficiency of discrete-time ratchets

P. Amengual·R. Toral·A. Allison·D. Abbott
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Abstract

Recently there has been much interest in discrete forms of Brownian ratchets, using a game-theoretic formalism. Using the approach pioneered by Parrondo, we develop a new method for obtaining the stationary probabilities and probability current for the case of discrete-time and discrete-space ratchets. We then use this result to calculate the Parrondian ratchet efficiency in two cases: firstly, for Parrondo's original system and, secondly, for a set of probabilities derived from a discretized ratchet potential.

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P. Amengual, R. Toral, A. Allison, D. Abbott. 2004-10-07. Efficiency of discrete-time ratchets. https://arxiv.org/abs/cond-mat/0410173

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