We analyse a Curie-Weiss model with two disjoint groups of spins with homogeneous coupling. We show that similarly to the single-group Curie-Weiss model a bivariate law of large numbers holds for the normed sums of both groups’ spin variables. We also show central limit theorem in the high temperature regime.

中文翻译：

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Curie-Weiss 模型中的两个群

我们分析了具有均匀耦合的两个不相交的自旋组的居里-魏斯模型。我们表明，与单组 Curie-Weiss 模型类似，大数二元定律适用于两组自旋变量的归一化和。我们还展示了高温状态下的中心极限定理。