Localization Transition of the Three-Dimensional Lorentz Model and Continuum Percolation

Preprint

25 April 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0510442

Abstract

The localization transition and the critical properties of the Lorentz model in three dimensions are investigated by computer simulations. We give a coherent and quantitative explanation of the dynamics in terms of continuum percolation theory, an excellent matching of both the critical density and exponents is obtained. Upon exploiting a dynamic scaling Ansatz employing two divergent length scales we find data collapse for the mean-square displacements and identify the leading-order corrections to scaling. The non-Gaussian parameter is predicted to diverge at the transition.

Keywords

All Related Versions

Version 1, 2005-10-17, ArXiv
Version 2, 2006-04-25, ArXiv
Published version: Physical Review Letters, 96 (16), 165901.

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