One-Dimensional Ising Model with General Spin
- 1 August 1968
- journal article
- research article
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 25 (2), 322-330
- https://doi.org/10.1143/jpsj.25.322
Abstract
The one-dimensional Ising model is investigated by generalizing the Bethe approximation, which, in this case, gives exact solutions. The energy, specific heat and the zero field susceptibility for S =1, 3/2 and 2 except the susceptibility for S =2 are calculated exactly and compared with the results of Suzuki et al. . As a direct application of this method, the special lattice called the Bethe lattice is treated, and the Curie temperature of the lattice for S =1 is obtained. This method is also applied to solve the one-dimensional Ising model with the second neighbor interactions as well as the first neighbor ones, and the energy and specific heat for S =1/2 are calculated.Keywords
This publication has 4 references indexed in Scilit:
- Exact Results for the One-Dimensional, Anisotropic Classical Heisenberg ModelPhysical Review Letters, 1967
- One-Dimensional Ising Model with General SpinJournal of Mathematical Physics, 1967
- On the theory of cooperative phenomena in crystalsAdvances in Physics, 1960
- Statistical Mechanics of Nearest Neighbor Systems II. General Theory and Application to Two-Dimensional FerromagnetsThe Journal of Chemical Physics, 1942