PHASE TRANSITION IN ZERO DIMENSIONS - A REMARK ON SPHERICAL MODEL

被引：17

作者：

LIEB, EH

THOMPSON, CJ

机构：

[1] Mathematics Department, Massachusetts Institute of Technology, Cambridge, MA

[2] Northwestern University, Evanston, IL

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 08期

关键词：

D O I：

10.1063/1.1664980

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：1403 / &