Efficiency of discrete-time ratchets

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 ratche...

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Bibliographic Details
Main Authors Amengual, P, Toral, R, Allison, A, Abbott, D
Format Journal Article
LanguageEnglish
Published 07.10.2004
Subjects
Physics - Other Condensed Matter
Physics - Statistical Mechanics
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Summary: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.
DOI:10.48550/arxiv.cond-mat/0410173