Diffusion of lattice gases in disordered lattices

  • Klaus W. Kehr
  • Thomas Wichmann
Invited Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 438)


A survey of recent simulations and analytical work on collective diffusion of lattice gases in lattices with site-energy disorder is given. In one-dimensional disordered lattices, exact results have been obtained in the limit of small and large particle concentrations. Simulation results at intermediate concentrations show that the time-dependent site-occupancy correlations are not yet satisfactorily understood. In higher-dimensional disordered lattices, an effective-medium theory, which uses mean-field transition rates, gives an improvement over the phenomenological description and qualitative agreement with the simulations. The main effects derive from saturation of deep trapping sites. One conspicuous example is the existence of a coefficient of collective diffusion in a situation where no single-particle diffusion coefficient exists.


Transition Rate Master Equation Site Energy Trap Site Full Curve 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Klaus W. Kehr
    • 1
  • Thomas Wichmann
    • 1
  1. 1.Institut für Festkörperforschung, Forschungszentrum JülichJülichGermany

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