Diffusion in a random medium: A renormalization group approach |
| |
Authors: | J.M. Luck |
| |
Affiliation: | D.Ph.T., Institut de Recherche Fondamentale, Cen-Saclay, 91191 Gif-sur-Yvette Cedex, France |
| |
Abstract: | We investigate through a continuous random diffusion equation the long-distance properties of the general non-symmetric hopping model. The lower and upper critical dimensionalities are d = 1 and d = 2 respectively. A renormalization group analysis shows that the velocity and the diffusion constant obey scaling laws with non-classical exponents, which are computed to first order in ε = 2 ? d. Similar scaling laws, based on heuristic arguments, are conjectured for the AC conductivity. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|