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Zero density of open paths in the Lorentz mirror model for arbitrary mirror probability

2014/06/18 by Atahualpa S. Kraemer, David P. Sanders · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #nlin.CG

paper · pdf · doi:10.1007/s10955-014-1038-3

10 pages, 5 figures

arxiv created 2014/06/18 · arxiv updated 2015/06/22

Abstract

We show, incorporating results obtained from numerical simulations, that in the Lorentz mirror model, the density of open paths in any finite box tends to 0 as the box size tends to infinity, for any mirror probability.

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