Rate description of Fokker-Planck processes with time-periodic parameters release_khuomgeburfxjfotac3ss4bejy

by Changho Kim, Peter Talkner, Eok Kyun Lee, Peter Hanggi

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The large time dynamics of a periodically driven Fokker-Planck process possessing several metastable states is investigated. At weak noise transitions between the metastable states are rare. Their dynamics then represent a discrete Markovian process characterized by time dependent rates. Apart from the occupation probabilities, so-called specific probability densities and localizing functions can be associated to each metastable state. Together, these three sets of functions uniquely characterize the large time dynamics of the conditional probability density of the original process. Exact equations of motion are formulated for these three sets of functions and strategies are discussed how to solve them. These methods are illustrated and their usefulness is demonstrated by means of the example of a bistable Brownian oscillator within a large range of driving frequencies from the slow semiadiabatic to the fast driving regime.
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Type  article
Stage   submitted
Date   2009-08-12
Version   v1
Language   en ?
arXiv  0908.1730v1
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