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Conductivity of a lattice gas model. Monte-Carlo simulations

Author

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  • Yang, Y.S.
  • Thompson, C.J.

Abstract

A lattice-gas model, which has conductors connecting each pair of occupied nearest-neighbour sites, is studied using Monte-Carlo simulations. At low temperatures, the lattice-gas atomic density approaches unity and the system is in a high-conductivity state. At high temperatures, the lattice-gas atomic density approaches 0.5 and the system is in a low-conductivity state. On a square lattice, the conductivity of the system in the low-conductivity state goes to zero. On a simple cubic lattice however, the conductivity of the system in the low-conductivity state approaches a non-zero constant value. The liquid-gas-transition temperature and the high-low-conductivity transition temperatures appear to be the same from our numerical simulations.

Suggested Citation

  • Yang, Y.S. & Thompson, C.J., 1998. "Conductivity of a lattice gas model. Monte-Carlo simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 185-194.
    • Handle: RePEc:eee:phsmap:v:248:y:1998:i:1:p:185-194
    DOI: 10.1016/S0378-4371(97)00441-X
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