A theory of coupled random walk process |
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| Authors: | Hiroaki Hara Don Choi Sang |
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| Affiliation: | (1) Department of Physics and Astronomy, State University of New York at Buffalo, 14260 Amherst, New York, USA;(2) Present address: Department of Applied Science, Faculty of Engineering, Tohoku University, Sendai 980, Japan |
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| Abstract: | A theory of the coupled random walk (CRW) process which has been proposed by one of the present authors, is developed further. It is shown that the Fokker-Planck equation obtained from the CRW process can be cast into a form of a  kinetic equation similar to the Boltzmann equation of the gas theory. To this end, the memory effects are taken into account through the jumping probabilities between the modes. As a special case, the distribution function for the steady state is considered. |
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