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arXiv · 1809.05806

Statistics of geometric clusters in the Ising model on a Bethe lattice: statistical mechanics approach

P. N. Timonin
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Abstract

The statistical mechanics method is developed for determination of generating function of like-sign spin clusters' size distribution in Ising model as modification of Ising-Potts model by K. K. Murata (1979). It is applied to the ferromagnetic Ising model on Bethe lattice. The analytical results for the field-temperature percolation phase diagram of + spin clusters and their size distribution are obtained. The last appears to be proportional to that of the classical non-correlated bond percolation with the bond probability, which depends on temperature and Ising model parameters.

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P. N. Timonin. 2018-09-16. Statistics of geometric clusters in the Ising model on a Bethe lattice: statistical mechanics approach. https://doi.org/10.1016/j.physa.2019.121402

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