Effective diffusion constant in a two dimensional medium of charged point scatterers

Details Effective diffusion constant in a two dimensional medium of charged point scatterers Effective diffusion constant in a two dimensional medium of charged point scatterers

2003-11-06

arxiv.org/abs/cond-mat/0311125v1

J. Phys. A 37 (6) 2039 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages IOP LaTex, no figures

Scientific paper

10.1088/0305-4470/37/6/005

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.

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