Statistics of geometric clusters in the Ising model on a Bethe lattice

P.N. Timonin

Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C

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.

Keywords: Percolation; Like-sign Ising clusters (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119308222

DOI: 10.1016/j.physa.2019.121402

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