Localization transition of the three-dimensional Lorentz model and continuum percolation

Höfling, Felix; Franosch, Thomas und Frey, Erwin (April 2006): Localization transition of the three-dimensional Lorentz model and continuum percolation. In: Physical Review Letters, Bd. 96, Nr. 16: S. 165901-1

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.

• Dokumententyp: Zeitschriftenartikel
• Publikationsform: Publisher's Version
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0031-9007
• Ort: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
• Sprache: Englisch