Time-dependent barrier passage of Two-dimensional non-Ohmic damping system

Details Time-dependent barrier passage of Two-dimensional non-Ohmic damping system Time-dependent barrier passage of Two-dimensional non-Ohmic damping system

2009-05-13

arxiv.org/abs/0905.2074v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures, 24 reference

Scientific paper

The time-dependent barrier passage of an anomalous damping system is studied via the generalized Langevin equation (GLE) with non-Ohmic memory damping friction tensor and corresponding thermal colored noise tensor describing a particle passing over the saddle point of a two-dimensional quadratic potential energy surface. The time-dependent passing probability and transmission coefficient are analytically obtained by using of the reactive flux method. The long memory aspect of friction is revealed to originate a non-monotonic $\delta$(power exponent of the friction) dependence of the passing probability, the optimal incident angle of the particle and the steady anomalous transmission coefficient. In the long time limit a bigger steady transmission coefficient is obtained which means less barrier recrossing than the one-dimensional case.

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