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

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dc.creatorHöfling, Felix
dc.creatorFranosch, Thomas
dc.creatorFrey, Erwin
dc.date2005-10-17
dc.date2006-04-25
dc.date.accessioned2026-07-07T06:44:28Z
dc.date.available2026-07-07T06:44:28Z
dc.descriptionThe 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.
dc.descriptionextended introduction, minor changes in Fig. 2b and one reference added
dc.identifierhttps://arxiv.org/abs/cond-mat/0510442
dc.identifierhttp://arxiv.org/abs/cond-mat/0510442
dc.identifierPhys. Rev. Lett. 96, 165901 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.165901
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102787
dc.subjectSoft Condensed Matter
dc.titleLocalization Transition of the Three-Dimensional Lorentz Model and Continuum Percolation
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