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.
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Communicated by Aernout van Enter.
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The research of this paper is supported by the National Natural Science Foundation of China (Grant Nos. 11901275).
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Liu, Q. Limit Theorems for the Bipartite Potts Model. J Stat Phys 181, 2071–2093 (2020). https://doi.org/10.1007/s10955-020-02655-4
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DOI: https://doi.org/10.1007/s10955-020-02655-4