title: Localization transition of the three-dimensional lorentz model and continuum percolation.
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 and obtain an excellent matching of the critical density and exponents. Within a dynamic scaling ansatz incorporating two divergent length scales we achieve data collapse for the mean-square displacements and identify the leading corrections to scaling. We provide evidence for a divergent non-Gaussian parameter close to the transition.
authors.affiliation: Hahn-Meitner-Institut Berlin, Abteilung Theorie, Germany.
authors.forename: Felix
authors.initials: F
authors.lastname: Höfling
authors.forename: Thomas
authors.initials: T
authors.lastname: Franosch
authors.forename: Erwin
authors.initials: E
authors.lastname: Frey