Rate description of Fokker-Planck processes with time-dependent parameters.
نویسندگان
چکیده
The reduction of a continuous Markov process with multiple metastable states to a discrete rate process is investigated in the presence of slow time-dependent parameters such as periodic external forces or slowly fluctuating barrier heights. A quantitative criterion is provided under which condition a kinetic description with time-dependent frozen rates applies and nonadiabatic corrections to the frozen rates are obtained. Finally it is shown how the long-time behavior of the underlying continuous process can be retrieved from the knowledge of the discrete process by means of an appropriate random decoration of the discrete states. As a particular example of the presented theory an overdamped bistable Brownian oscillator with periodic driving is discussed.
منابع مشابه
Rate description of Fokker–Planck processes with time-periodic parameters
Submitted for the MAR10 Meeting of The American Physical Society Rate description of Fokker-Planck processes with time-periodic parameters PETER TALKNER, Inst of Physics, University of Augsburg — The large time dynamics of periodically driven Fokker-Planck processes possessing several metastable states is investigated. At weak noise the rare transitions between these metastable states can be re...
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ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 69 4 Pt 2 شماره
صفحات -
تاریخ انتشار 2004