One-Dimensional Phase Transitions in the Spherical Lattice Gas From Inverse Power Law Potentials
Document Type
Article
Publication Date
1-1-1970
Description
The spherical model of the lattice gas of Gersch and Berlin is studied by making an integral approximation to the Fourier coefficients of the interaction potential. A phase transition is found in one dimension for potentials -gr -a with 1 < α < 2. A necessary condition which a potential must satisfy to allow a 1-dimensional phase transition is given. General expressions are derived for specific heat Cv and isothermal compressibility KT. Discontinuities are found in the thermodynamic properties at the transition for α less than 3/2 times the number of dimensions. Asymptotic expansions are given for Cv and KT near the critical point.
Citation Information
Carpenter, Kenneth H.; and Strecker, Joseph L.. 1970. One-Dimensional Phase Transitions in the Spherical Lattice Gas From Inverse Power Law Potentials. Journal of Mathematical Physics. Vol.11(7). 2063-2070. https://doi.org/10.1063/1.1665365 ISSN: 0022-2488
