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Título

Discrete-time ratchets, the Fokker-Planck equation and Parrondo's Paradox

Autor Amengual, Pau; Allison, Andrew; Toral, Raúl ; Abbott, Derek
Palabras clave Parrondo's Paradox
Fokker-Planck Equation
Brownian Ratchet
Fecha de publicación 8-ago-2004
EditorRoyal Society (Great Britain)
Citación Proceedings of the Royal Society of London A 460(2048): 2269-2284 (2004)
ResumenParrondo’s games manifest the apparent paradox where losing strategies can be combined to win and have generated significant multidisciplinary interest in the literature. Here we review two recent approaches, based on the Fokker–Planck equation, that rigorously establish the connection between Parrondo’s games and a physical model known as the flashing Brownian ratchet. This gives rise to a new set of Parrondo’s games, of which the original games are a special case. For the first time, we perform a complete analysis of the new games via a discrete-time Markov chain analysis, producing winning rate equations and an exploration of the parameter space where the paradoxical behaviour occurs.
Descripción 16 pages (final publisher version), 17 pages, 5 figures (attached post-print version).-- Published online 5 May 2004.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0308609
Versión del editorhttp://dx.doi.org/10.1098/rspa.2004.1283
URI http://hdl.handle.net/10261/7523
DOI10.1098/rspa.2004.1283
ISSN1364-5021
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