A Fokker--Planck description for Parrondo's games
Statistical Mechanics
2009-11-10 v1
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 vice versa.
Keywords
Cite
@article{arxiv.cond-mat/0304684,
title = {A Fokker--Planck description for Parrondo's games},
author = {R. Toral and P. Amengual and S. Mangioni},
journal= {arXiv preprint arXiv:cond-mat/0304684},
year = {2009}
}
Comments
9 pages, 4 figures