Exact diffusion constant in a lattice-gas wind-tree model on a Bethe lattice

Guihua Zhang, J. K. Percus

Research output: Contribution to journalArticlepeer-review

Abstract

Kong and Cohen [Phys. Rev. B 40, 4838 (1989)] obtained the diffusion constant of a lattice-gas wind-tree model in the Boltzmann approximation. The result is consistent with computer simulations for low tree concentration. In this Brief Report we find the exact diffusion constant of the model on a Bethe lattice, which turns out to be identical with the Kong-Cohen and Gunn-Ortuño results. Our interpretation is that the Boltzmann approximation is exact for this type of diffusion on a Bethe lattice in the same sense that the Bethe-Peierls approximation is exact for the Ising model on a Bethe lattice.

Original languageEnglish (US)
Pages (from-to)3115-3116
Number of pages2
JournalPhysical Review B
Volume45
Issue number6
DOIs
StatePublished - 1992

ASJC Scopus subject areas

  • Condensed Matter Physics

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