Phase Transition in Zero Dimensions: A Remark on the Spherical Model
- 1 August 1969
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (8), 1403-1406
- https://doi.org/10.1063/1.1664980
Abstract
It is shown that the spherical model consisting of N spins with nonzero interaction between two spins only has a phase transition in the limit N → ∞. This is a counterexample to a suggestion of Kac which states that an Ising model will have a transition if the corresponding spherical model has a transition. Possible modifications of Kac's conjecture are suggested and discussed.Keywords
This publication has 3 references indexed in Scilit:
- Correlations in Ising Ferromagnets. IJournal of Mathematical Physics, 1967
- Spherical Model with Long-Range Ferromagnetic InteractionsPhysical Review B, 1966
- The Spherical Model of a FerromagnetPhysical Review B, 1952