English
español
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10261/7523
Share/Impact:
Statistics |
![]() ![]() ![]() |
|
|
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE | |||
|
Title: | Discrete-time ratchets, the Fokker-Planck equation and Parrondo's Paradox |
Authors: | Amengual, Pau; Allison, Andrew; Toral, Raúl ![]() |
Keywords: | Parrondo's Paradox Fokker-Planck Equation Brownian Ratchet |
Issue Date: | 8-Aug-2004 |
Publisher: | Royal Society (Great Britain) |
Citation: | Proceedings of the Royal Society of London A 460(2048): 2269-2284 (2004) |
Abstract: | Parrondo’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. |
Description: | 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 |
Publisher version (URL): | http://dx.doi.org/10.1098/rspa.2004.1283 |
URI: | http://hdl.handle.net/10261/7523 |
DOI: | 10.1098/rspa.2004.1283 |
ISSN: | 1364-5021 |
Appears in Collections: | (IFISC) Artículos |
Show full item record
Review this work
Review this work
Related articles:
WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.