Localization Transition of the Three-Dimensional Lorentz Model and Continuum Percolation
Felix Höfling, Thomas Franosch, Erwin Frey
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.
Create a lesson
Related papers
Nonparametric multiscale modeling of boundary lubrication: hexadecane in highly pressurized gold asperity contacts
Hannes Holey, Michael Moseler, Peter Gumbsch et al.
Asymmetric Ions in Solution are Similar to Active Brownian Particles
Setare Mostajabi Sarhangi, Dmitry V. Matyushov
Influence of twist direction and large deformation on soft material torsional contact
Yucai Hu, Pengfei Li, Michele Ciavarella et al.
Phase transitions and microphases in elastomers. II. Anisotropy-driven morphologies
Manu Mannattil, David Andelman, Haim Diamant
Comparing non-local granular fluid continuum models for silo discharge: Toward clogging prediction
Y. Zhou, Y. Wang, M. Li et al.
Residual semi-crystalline particles released during enzymatic degradation of plastics
Michael Schindler, Ludwik Leibler