Triangular Lattice Gas
- 1 April 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 5 (4) , 1919-1925
- https://doi.org/10.1103/physreva.5.1919
Abstract
The planar triangular lattice gas with repulsive nearest-neighbor and attractive second-nearest-neighbor interactions is solved in the Bethe-Peierls approximation. The maximum temperature of transition between disordered and ordered phases occurs at a density of one-third. All transitions are first order with a discontinuity in the order parameter at the transition. Deficiencies in the approximation are noted and discussed.Keywords
This publication has 12 references indexed in Scilit:
- Hard-Sphere Lattice Gases. II. Plane-Triangular and Three-Dimensional LatticesThe Journal of Chemical Physics, 1967
- An antiferromagnetic on a triangular lattice using the Ising modelProceedings of the Physical Society, 1965
- A first-order transition in a plane lattice gas with rigid repulsionsProceedings of the Physical Society, 1965
- Improvements in the Lattice Model of a LiquidProceedings of the Physical Society, 1961
- A Lattice Model of a Classical Hard Sphere Gas: IIProceedings of the Physical Society, 1961
- A Theory of Cooperative PhenomenaPhysical Review B, 1951
- Antiferromagnetism. The Triangular Ising NetPhysical Review B, 1950
- Order-disorder in hexagonal latticesPhysica, 1950
- Statistical theory of adsorption with interaction between the adsorbed atomsMathematical Proceedings of the Cambridge Philosophical Society, 1936
- Statistical theory of superlatticesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935