Straightforward derivation of the long-time limit of the mean-square displacement in one-dimensional diffusion

Jörg Kärger
Phys. Rev. A 45, 4173 – Published 1 March 1992
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Abstract

Considering one-dimensional diffusion as a sequence of exchange processes between occupied and vacant sites, the long-time limit of the mean-square displacement of the diffusants is shown to be easily calculable as the net effect of the random walk of the vacancies.

  • Received 24 June 1991

DOI:https://doi.org/10.1103/PhysRevA.45.4173

©1992 American Physical Society

Authors & Affiliations

Jörg Kärger

  • Fachbereich Physik der Universität Leipzig, Linnéstrasse 5, 0-7010 Leipzig, Federal Republic of Germany

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Vol. 45, Iss. 6 — March 1992

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