2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102787The 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.extended introduction, minor changes in Fig. 2b and one reference addedSoft Condensed Mattertext