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...
متن کاملRate 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 کاملGeneralized Stochastic Fokker-Planck Equations
We consider a system of Brownian particles with long-range interactions. We go beyond the mean field approximation and take fluctuations into account. We introduce a new class of stochastic Fokker-Planck equations associated with a generalized thermodynamical formalism. Generalized thermodynamics arises in the case of complex systems experiencing small-scale constraints. In the limit of short-r...
متن کاملStochastic Fokker-Planck equation in random environments.
We analyze the stochastic dynamics of a large population of noninteracting particles driven by a common environmental input in the form of an Ornstein-Uhlenbeck (OU) process. The density of particles evolves according to a stochastic Fokker-Planck (FP) equation with respect to different realizations of the OU process. We then exploit the connection with previous work on diffusion in randomly sw...
متن کاملInvasive competition with Fokker-Planck diffusion and noise
Defeat and success of the competitive invasion of a populated area is described with a standard Lotka-Volterra competition model. The resident is adapted to the heterogeneous living conditions, i.e., its motion is modelled as space-dependent, so-called Fokker-Planck diffusion. The invader’s diffusion is taken as neutral Fickian. Furthermore, it is studied how multiplicative environmental noise ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1988
ISSN: 0556-2791
DOI: 10.1103/physreva.38.1966