Chun-Yang Wang, Jun Huang
The time-dependent barrier passage of an anomalous system-reservoir coupling environment is studied where the heat bath is modulated by an external noise. The time-dependent barrier passing probability is obtained analytically by solving the generalized Langevin equation. The escaping rate and effective transmission coefficient are calculated by using of the reactive flux method. It is found that in an external $\delta$ correlated noise modulated internal Ornstein-Uhlenbeck process, the modulation of external noise is great harmful to the barrier escaping process. A particular kind of steady state is witnessed where diffusing particles are kept wandering near the saddle point without successful escaping to form an effective flux.
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http://arxiv.org/abs/1208.4894
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