44 citations · 145 across the 14 of their papers we have counts for
4 papers · 1 filter
Efficiency of discrete-time ratchets
P. Amengual, R. Toral, A. Allison +1
Recently there has been much interest in discrete forms of Brownian ratchets, using a game-theoretic formalism. Using the approach pioneered by Parrondo, we develop a new method fo…
Discrete--time ratchets, the Fokker--Planck equation and Parrondo's paradox
P. Amengual, A. Allison, R. Toral +1
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 r…
The physical basis for Parrondo's games
Andrew Allison, Derek Abbott
Several authors have implied that the original inspiration for Parrondo's games was a physical system called a ``flashing Brownian ratchet''. The relationship seems to be intuitive…
Minimal Brownian Ratchet: An Exactly Solvable Model
Youngki Lee, Andrew Allison, Derek Abbott +1
We develop an exactly-solvable three-state discrete-time minimal Brownian ratchet (MBR), where the transition probabilities between states are asymmetric. By solving the master equ…