Generalized Chapman-Kolmogorov equation:  A unifying approach to the description of anomalous transport in external fields

Ralf Metzler
Phys. Rev. E 62, 6233 – Published 1 November 2000
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Abstract

The generalized Chapman-Kolmogorov equation [V. M. Kenkre, E. W. Montroll, and M. F. Shlesinger, J. Stat. Phys. 9, 45 (1973)] is discussed. It is demonstrated that this equation unifies recently proposed kinetic equations of fractional order that describe anomalous transport in external fields, as well as continuous time random walks. The conditions under which the individual models can be established are discussed.

  • Received 2 July 2000

DOI:https://doi.org/10.1103/PhysRevE.62.6233

©2000 American Physical Society

Authors & Affiliations

Ralf Metzler*

  • Department of Physics and School of Chemical Sciences, University of Illinois at Urbana-Champaign, 600 South Mathews, MC-712 24-6, Urbana, Illinois 61801

  • *Permanent address: Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Ave., Rm 12-109, Cambridge, MA 02139. Electronic address: metz@mit.edu

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Vol. 62, Iss. 5 — November 2000

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