Statistics of geometric clusters in Potts model: statistical mechanics approach

Autor:	Timonin, P. N.
Rok vydání:	2020
Předmět:	Condensed Matter - Statistical Mechanics
Zdroj:	Proc. R. Soc. A, v.476 is.2240 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1098/rspa.2020.0215
Popis:	The percolation of Potts spins with equal values in Potts model on graphs (networks) is considered. The general method for finding the Potts clusters size distributions is developed. It allows for full description of percolation transition when giant cluster of equal-valued Potts spins appears. The method is applied to the short-ranged q-state ferromagnetic Potts model on the Bethe lattices with the arbitrary coordination number z. The analytical results for the field-temperature percolation phase diagram of geometric 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 Potts model parameters. Comment: 14 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.10669 Zobrazit plný text záznamu View this record from Arxiv