Analytical And Numerical Study Of Kramers ’ Exit Problem II ∗
نویسنده
چکیده
Kramers’ exit problem is concerned with noise activated escape from a potential well. In case the noise strength, , (temperature measured in units of potential barrier height) is small this becomes a singular perturbation problem. It is shown that actually, most of the probability of the exit points on the separatrix is located at a distance O( √ ) from the saddle point and the probability vanishes altogether at the saddle point. The stochastic dynamics of the escaping trajectories, conditioned on not returning to a given critical energy contour, are studied analytically and numerically.
منابع مشابه
Analytical and Numerical Study of Kramers ’ Exit Problem I ∗
Kramers’ exit problem is concerned with noise activated escape from a potential well. In case the noise strength, , is small this becomes a singular perturbation problem. The distribution of exit points on the separatrix (in the phase plane) is shown to be spread away from the saddle point, where the energy is minimal. The stochastic dynamics of the escaping trajectories, conditioned on not ret...
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