Temperature-Dependent Percolation in the Square Lattice

  • Ito Ken
    Department of Physics, Tokyo Institute of Technology
  • Ono Ikuo
    Department of Physics, Tokyo Institute of Technology

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A single-site effective medium theory is used to study temperature-dependent percolation. The special case discussed is the conductivity of a lattice gas with nearest-neighbor interactions. The assemblies of atoms are regarded as a square resistor network consisting of randomly distributed conductive bonds, which are assumed to correspond to pairing of atoms. The estimated values of critical percolation-concentration of atoms are proved to be in good agreement with Monte Carlo results.

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