Application of stochastic numerics to models with stochastic resonance and to Brownian ratchets

Author(s):  
Grigori N. Milstein ◽  
Michael V. Tretyakov
2001 ◽  
Vol 01 (04) ◽  
pp. L239-L244 ◽  
Author(s):  
ANDREW ALLISON ◽  
DEREK ABBOTT

We present evidence to support the idea that Stochastic Resonance (SR) and Brownian Ratchets (BR) share underlying physical principles. We examine the special case of a discrete-time ratchet, called Parrondo's games, and show that the addition of noise increases the rate of flow in the ratchet up to a certain point, after which the addition of further noise causes the rate of flow of decrease. We argue that the rate of flow of particles in a BR is analogous to the rate of flow of information in the case of SR.


2006 ◽  
Vol 359 ◽  
pp. 75-84 ◽  
Author(s):  
A.J. Fendrik ◽  
L. Romanelli ◽  
R.P.J. Perazzo

2007 ◽  
Vol 5 (2) ◽  
pp. 431-466 ◽  
Author(s):  
R. E. Lee DeVille ◽  
Eric Vanden-Eijnden

2014 ◽  
Vol 2 ◽  
pp. 417-420
Author(s):  
Florian Gomez ◽  
Stefan Martignoli ◽  
Ruedi Stoop

2014 ◽  
Vol 1 ◽  
pp. 13-16
Author(s):  
Akihisa Ichiki ◽  
Yukihiro Tadokoro

2018 ◽  
Vol 138 (5) ◽  
pp. 185-190
Author(s):  
Meng Su ◽  
Dai Kobayashi ◽  
Nobuyuki Takama ◽  
Beomjoon Kim

1997 ◽  
Vol 33 (20) ◽  
pp. 1666 ◽  
Author(s):  
X. Godivier ◽  
J. Rojas-Varela ◽  
F. Chapeau-Blondeau

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