Rate description of Fokker-Planck processes with time-dependent parameters
نویسندگان
چکیده
منابع مشابه
Rate description of Fokker-Planck processes with time-dependent parameters.
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 t...
متن کاملRate 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...
متن کاملRate Description of Markov Processes with Time Dependent Parameters∗
The description of physical, chemical or biological processes by simple models often becomes possible by a separation of time scales of the underlying microscopic dynamics [1,2]. For example, thermally activated transitions between locally stable states typically occur on a much slower time scale than the fast motion in the vicinity of these locally stable states [3]. On the long time scales on...
متن کاملN-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients.
An N-dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present. We exhibit the exact solution based on the generalized Gaussian function related to the Tsallis statistics. Furthermore, we show that a rich class of diffusive processes, including normal and anomalous ones, can be ob...
متن کاملParameters of the fractional Fokker-Planck equation
We study the connection between the parameters of the fractional Fokker-Planck equation, which is associated with the overdamped Langevin equation driven by noise with heavytailed increments, and the transition probability density of the noise generating process. Explicit expressions for these parameters are derived both for finite and infinite variance of the rescaled transition probability de...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2004
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.69.046109