Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function

Details Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function

2008-01-22

arxiv.org/abs/0801.3366v1

Phys. Rev. E 77, 011121 (2008).

Physics

Condensed Matter

Statistical Mechanics

20 pages, 12 figures, accepted to PRE

Scientific paper

10.1103/PhysRevE.77.011121

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.

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