Dissimilar bouncy walkers

Details Dissimilar bouncy walkers Dissimilar bouncy walkers

2010-11-25

arxiv.org/abs/1011.5582v1

Physics

Condensed Matter

Soft Condensed Matter

11 pages, to appear in Journal of Chemical Physics

Scientific paper

We consider the dynamics of a one-dimensional system consisting of dissimilar hardcore interacting (bouncy) random walkers. The walkers' (diffusing particles') friction constants xi_n, where n labels different bouncy walkers, are drawn from a distribution rho(xi_n). We provide an approximate analytic solution to this recent single-file problem by combining harmonization and effective medium techniques. Two classes of systems are identified: when rho(xi_n) is heavy-tailed, rho(xi_n)=A xi_n^(-1-\alpha) (0

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