Rate Distortion Theorem and the Multicritical Point of Spin Glass

07/01/2019

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by   Tatsuto Murayama, et al.

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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 together with reasonable assumptions can be used to obtain a constraint on the location of the multi-critical phase point for a family of the Bethe lattice ± J model.