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A theory of coupled random walk process

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Zeitschrift für Physik B Condensed Matter

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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Author notes

  1. Hiroaki Hara

    Present address: Department of Applied Science, Faculty of Engineering, Tohoku University, Sendai 980, Japan

Authors and Affiliations

  1. Department of Physics and Astronomy, State University of New York at Buffalo, 14260, Amherst, New York, USA

    Hiroaki Hara & Sang Don Choi

Authors
  1. Hiroaki Hara
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  2. Sang Don Choi
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Hara, H., Sang, D.C. A theory of coupled random walk process. Z. Physik B - Condensed Matter 38, 351–357 (1980). https://doi.org/10.1007/BF01315327

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  • DOI: https://doi.org/10.1007/BF01315327

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