Resonant activation of a Brownian particle out of a potential well: Remarks on some recent theoretical and experimental investigations

1989 ◽  
Vol 39 (7) ◽  
pp. 4722-4724 ◽  
Author(s):  
Riccardo Mannella ◽  
Paolo Grigolini
1987 ◽  
Vol 36 (1) ◽  
pp. 58-73 ◽  
Author(s):  
Michel H. Devoret ◽  
Daniel Esteve ◽  
John M. Martinis ◽  
Andrew Cleland ◽  
John Clarke

2008 ◽  
Vol 19 (01) ◽  
pp. 49-61
Author(s):  
BARTŁOMIEJ DYBIEC

We study the motion of an overdamped Brownian particle in a linear potential between reflecting and absorbing boundaries. The moving particle experiences the combined action of random and deterministic forces. In the model, the well-known and celebrated phenomenon of resonant activation is visible. The presence of two dichotomous noises modulates the shape of the potential barrier and changes the force acting on the particle leading to further acceleration of the escape kinetics in comparison to the situation where only one dichotomous process is present. In the case of very small or very large correlation times of dichotomous noises, we can observe asymptotic behavior of the system in which effectively one of the dichotomous noises is eliminated.


The interaction of ions and quantized vortex lines in helium II is treated by imagining that the motion of the superfluid near a vortex line acts on an ion so as to produce a potential well. The ion itself is looked upon as a Brownian particle immersed in a gas of quasi-particles. The capture of ions is pictured as a process of sedimentation into the well. The escape of the ions from the well is treated as a problem of the escape of a Brownian particle over a potential barrier. A solution of the Fokker-Planck equation for a two-dimensional well is given. Comparison of the theory with a variety of experiments is presented.


2000 ◽  
Vol 274 (3-4) ◽  
pp. 104-110 ◽  
Author(s):  
S.A Guz ◽  
I.G Rusavin ◽  
M.V Sviridov

2000 ◽  
Vol 21 (3) ◽  
pp. 322-328 ◽  
Author(s):  
T ZAHNERT ◽  
K HUTTENBRINK ◽  
D MURBE ◽  
M BORNITZ

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