Statistics of geometric clusters in Potts model: statistical mechanics approach.
Potts model
geometric clusters
percolation theory
Journal
Proceedings. Mathematical, physical, and engineering sciences
ISSN: 1364-5021
Titre abrégé: Proc Math Phys Eng Sci
Pays: England
ID NLM: 9891746
Informations de publication
Date de publication:
Aug 2020
Aug 2020
Historique:
received:
26
03
2020
accepted:
20
07
2020
entrez:
14
9
2020
pubmed:
15
9
2020
medline:
15
9
2020
Statut:
ppublish
Résumé
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 full description of percolation transition when a 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
Identifiants
pubmed: 32922154
doi: 10.1098/rspa.2020.0215
pii: rspa20200215
pmc: PMC7482199
doi:
Types de publication
Journal Article
Langues
eng
Pagination
20200215Informations de copyright
© 2020 The Author(s).
Déclaration de conflit d'intérêts
I declare I have no competing interests.
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