一维Ising模型的相变

通常说的“一维Ising模型无相变”是有条件的。可以根据各自旋间的相互作用系数J(n)来判断该系统存在相变与否。F.J.Dyson给出了一个存在相变的洋细证明。A.Oguchi作了一个近似计算的例子。本文利用积分方程的方法处理HφYE模型,得出该模型存在变相的一种具体结果。

The phase T ansition of The Ore Dimensional Ising Model

"There is no phase transiton in one dinensional Ising model", as is sometimes quoted, is conditional.According to the interaction ccefictenis J(n) between spins. we can prejudge whether phase transition can cceur in this system. F.J.Dyson has given'a proof of the existance of phase transition. A.Oguchi has given an example of approximate calculation.We use the in- tegral equation method to treat Hφye model, and obtain the conelusion that there is phase transition in this model.