Effective diffusion constant in a two dimensional medium of charged point scatterers
Disordered Systems and Neural Networks
2009-11-10 v1 Statistical Mechanics
Abstract
We obtain exact results for the effective diffusion constant of a two dimensional Langevin tracer particle in the force field generated by charged point scatterers with quenched positions. We show that if the point scatterers have a screened Coulomb (Yukawa) potential and are uniformly and independently distributed then the effective diffusion constant obeys the Volgel-Fulcher-Tammann law where it vanishes. Exact results are also obtained for pure Coulomb scatterers frozen in an equilibrium configuration of the same temperature as that of the tracer.
Keywords
Cite
@article{arxiv.cond-mat/0311125,
title = {Effective diffusion constant in a two dimensional medium of charged point scatterers},
author = {D. S. Dean and I. T. Drummond and R. R. Horgan},
journal= {arXiv preprint arXiv:cond-mat/0311125},
year = {2009}
}
Comments
9 pages IOP LaTex, no figures