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Proceedings Paper

A Fokker-Planck description for Parrondo's games
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Paper Abstract

We discuss in detail two recently proposed relations between the Parrondo's games and the Fokker-Planck equation describing the flashing ratchet as the overdamped motion of a particle in a potential landscape. In both cases it is possible to relate exactly the probabilities of the games to the potential in which the overdamped particle moves. We will discuss under which conditions current-less potentials correspond to fair games and vie versa.

Paper Details

Date Published: 7 May 2003
PDF: 9 pages
Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.490173
Show Author Affiliations
Raul Toral, Univ. de les Illes Balears (Spain)
Pau Amengual, Univ. de les Illes Balears (Spain)
Sergio Mangioni, Univ. Nacional de Mar del Plata (Argentina)

Published in SPIE Proceedings Vol. 5114:
Noise in Complex Systems and Stochastic Dynamics
Lutz Schimansky-Geier; Derek Abbott; Alexander Neiman; Christian Van den Broeck, Editor(s)

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