Time-dependent barrier passage of a non-Ohmic damping system |
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| Authors: | Bao Jing-Dong |
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| Affiliation: | Department of Physics, Beijing Normal University, Beijing 100875, China. jdbao@bnu.edu.cn |
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| Abstract: | We consider a particle passing over the saddle point of an inverse harmonic potential, which is described by a generalized Langevin equation with a non-Ohmic damping of power exponent delta. The time-dependent passing probability and transmission coefficient are obtained analytically by using the reaction flux method. It is shown that the overshooting phenomenon for the passing probability appears in the regime 0
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