In multiple realizations of a bottleneck between two Curie-Weiss blocks, a threshold on bottleneck size relative to interaction strength determines whether the bottleneck influences the thermodynamic phase transition.
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On the Effect of Bottlenecks in Block Spin Models
In multiple realizations of a bottleneck between two Curie-Weiss blocks, a threshold on bottleneck size relative to interaction strength determines whether the bottleneck influences the thermodynamic phase transition.