A Fokker--Planck description for Parrondo's games

Details A Fokker--Planck description for Parrondo's games A Fokker--Planck description for Parrondo's games

2003-04-30

arxiv.org/abs/cond-mat/0304684v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures

Scientific paper

10.1117/12.490173

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.

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