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Collective and tracer diffusion of lattice gases in lattices with site-energy disorder

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  • Kehr, K.W.
  • Paetzold, O.

Abstract

Collective and tracer diffusion of lattice gases of arbitrary concentrations were investigated in one-, two-, and three-dimensional lattices with randomly distributed site energies. A model with two different site energies and varying concentrations of the trap sites was employed. A vectorizable computer code has been used for the simulation of the lattice gas with site exclusion. For low particle concentrations, the diffusion coefficient is given by the wellknown single-particle value. For larger particle concentrations and moderate concentrations of deep traps, reduced diffusion of the lattice gas in a background of randomly blocked sites is observed. For larger trap concentrations, when the concentration of the non-trap sites is smaller than the corresponding percolation threshold, the diffusion coefficient is practically independent of the particle concentration and given by the single-particle value in the disordered lattice. In one-dimensional systems one finds this behavior approximately at all trap concentrations.

Suggested Citation

  • Kehr, K.W. & Paetzold, O., 1992. "Collective and tracer diffusion of lattice gases in lattices with site-energy disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 190(1), pages 1-12.
    • Handle: RePEc:eee:phsmap:v:190:y:1992:i:1:p:1-12
    DOI: 10.1016/0378-4371(92)90073-Y
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    References listed on IDEAS

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    1. Gray, Heather & Brogan, Donna & Kutner, Nancy G., 1985. "Status of life-areas: Congruence/noncongruence in ESRD patient and spouse perceptions," Social Science & Medicine, Elsevier, vol. 20(4), pages 341-346, January.
    2. Kitahara, Isamu, 1980. "Properties and Powers in the Large Corporation," Economic Review, Hitotsubashi University, vol. 31(4), pages 289-299, October.
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