Rigorous Results on the Bipartite Mean-Field Model

Abstract

We consider a bipartite mean-field model in which both the interaction constant and the external field take different values only depending on the groups particles belong to. We compute the exact value of the thermodynamic limit of the model exploiting a tail estimation on the number of configurations that share the same value of the magnetization and we analyze the critical points of the pressure functional associated to the symmetric version of the model as the external field is away or small.

26 pages, 5 figures

References in corpus (3)

• Equilibrium statistical mechanics of bipartite spin systems
• Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models
• On Random Field Induced Ordering in the Classical XY Model

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• The aggregate path coupling method for the Potts model on bipartite graph
• Non-Convex Multipartite Ferromagnets