A spin system can be thought of as an information coding system that transfers information of the interaction configuration into information of the equilibrium state of the spin variables. Hence it can be expected that the relations between the interaction configuration and equilibrium states are consistent with the known laws of information theory. We show that Shannon's rate distortion theorem can be used to obtain a universal constraint on neighboring spin correlations for a broad range of Ising spin systems with two-body spin interactions. Remarkably, this constraint gives a bound for the multicritical point in the phase diagram, when a mean-field behavior for the neighboring spin pairs can be expected in the paramagnetic phase.

中文翻译：

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速率畸变定理和自旋玻璃的多临界点

自旋系统可以被认为是一种信息编码系统，其将相互作用构造的信息转换成自旋变量的平衡状态的信息。因此，可以预期相互作用构型与平衡态之间的关系与信息论的已知定律是一致的。我们表明，香农率失真定理可用于获得具有两体自旋相互作用的广泛的Ising自旋系统的相邻自旋相关性的通用约束。值得注意的是，当可以在顺磁相中预期相邻自旋对的平均场行为时，此约束为相图中的多临界点提供了边界。