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Lennard-Jones triangular lattice gas in the Kikuchi approximation

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  • Osório, R.
  • Koiller, Belita

Abstract

The triangular lattice-gas problem for a model with infinitely repulsive nearest-neighbor and attractive second-, J2, and third-neighbor, J3, interactions is studied in the Kikuchi approximation with a triangle of nearest-neighbor sites as the basic cluster. Values of the ratio α ≡ J3J2<1 correspond to a Lennard-Jones interaction in a model for commensurate phases of submonolayers of inert gases adsorbed on graphite. A method of calculation is developed which allows a detailed study of the evolution of the phase diagrams—in particular the location of the liquid-gas critical end-point and of the solid-liquid-gas triple point. Distinct liquid and gas phases are found to be stable for α>0.9481.

Suggested Citation

  • Osório, R. & Koiller, Belita, 1985. "Lennard-Jones triangular lattice gas in the Kikuchi approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 263-277.
    • Handle: RePEc:eee:phsmap:v:131:y:1985:i:1:p:263-277
    DOI: 10.1016/0378-4371(85)90091-3
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    References listed on IDEAS

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    1. Lerner, Eugene M., 1981. "Discussion: The Determinants of Bank Interest Margins: Theory and Empirical Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(4), pages 601-602, November.
    2. Meijer, Paul H.E. & Ekmekci, Servet, 1982. "The phase diagram of simple metamagnets as determined by the cluster variation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(3), pages 351-366.
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    Cited by:

    1. Okbani, Z. & Ouasti, R. & Zekri, N., 1996. "Nature of the extended states in one-dimensional random trimers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 38-52.
    2. Holvorcem, Paulo R.C. & Osório, Roberto, 1988. "Cluster approach to dilute magnetism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 431-450.

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