Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function
Statistical Mechanics
2008-01-23 v1 Other Condensed Matter
Abstract
The over-passing probability across an inverted parabolic potential barrier is investigated according to the classical and quantal generalized Langevin equations. It is shown that, in the classical case, the asymptotic value of the over-passing probability is determined by a single dominant root of the "characteristic function", and it is given by a simple expression. The expression for the over-passing probability is quite general, and details of dissipation mechanism and memory effects enter into the expression only through the dominant root of the characteristic equation.
Keywords
Cite
@article{arxiv.0801.3366,
title = {Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function},
author = {B. Yilmaz and S. Ayik and Y. Abe and D. Boilley},
journal= {arXiv preprint arXiv:0801.3366},
year = {2008}
}
Comments
20 pages, 12 figures, accepted to PRE