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Limit Theorems for the Bipartite Potts Model

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We consider the bipartite Potts model in which interaction strengths depend only on the groups the particles belong to. We first rigorously compute the exact value of the free energy,… Click to show full abstract

We consider the bipartite Potts model in which interaction strengths depend only on the groups the particles belong to. We first rigorously compute the exact value of the free energy, then put forward two scaling limit theorems for the joint distribution of two empirical vectors which serve as order parameters. It turns out that the limit distribution can be Gaussian or the exponential distribution of higher order under different conditions.

Keywords: limit theorems; potts model; bipartite potts; theorems bipartite

Journal Title: Journal of Statistical Physics
Year Published: 2020

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