The description of catastropic changes in tagged particle dynamics by the self-consistent repeated ring equation

T. Keyes and A.J. Masters

Physica A: Statistical Mechanics and its Applications, 1983, vol. 118, issue 1, 395-406

Abstract: The nature of tagged particle motion in random media can change catastrophically as some parameter, most notably the scatterer density, is varied. In some systems, the self-diffusion constant vanishes above a critical density, providing a dynamic analog of the static percolation problem. Good theoretical treatments of these phenomena are given by solutions of the nonlinear equations generated by the “self-consistent repeated ring” approximation. In this paper, we work out the repeated ring approximation for three systems: a random walk on a lattice where randomly chosen sites are excluded to the walker, the Lorentz gas, and the motion of a light particle in a real fluid.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:118:y:1983:i:1:p:395-406

DOI: 10.1016/0378-4371(83)90208-X

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