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

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.

9 pages IOP LaTex, no figures

References in corpus (3)

• Renormalization of Drift and Diffusivity in Random Gradient Flows
• Continuum Derrida Approach to Drift and Diffusivity in Random Media
• Effective drift and diffusivity in non-Gaussian random gradient flows

Cited by in corpus (7)

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• Self Similar Renormalization Group Applied to Diffusion in non-Gaussian Potentials
• Perturbation theory for the effective diffusion constant in a medium of random scatterer