Lennard-Jones triangular lattice gas in the Kikuchi approximation

R. Osório and Belita Koiller

Physica A: Statistical Mechanics and its Applications, 1985, vol. 131, issue 1, 263-277

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.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:131:y:1985:i:1:p:263-277

DOI: 10.1016/0378-4371(85)90091-3

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