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

Höfling, Felix; Franosch, Thomas and Frey, Erwin (April 2006): Localization transition of the three-dimensional Lorentz model and continuum percolation. In: Physical Review Letters, Vol. 96, No. 16: pp. 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.

• Item Type: Journal article
• Form of publication: Publisher's Version
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 0031-9007
• Place of Publication: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
• Language: English