English

Statistical description of domains in the Potts model

Statistical Mechanics 2009-01-06 v1

Abstract

The Zipf power law and its connection with the inhomogeneity of the system is investigated. We describe the statistical distributions of the domain masses in the Potts model near the temperature-induced phase transition. We found that the statistical distribution near the critical point is described by the power law form with a long tail, while beyond the critical point the power law tail is suppressed.

Keywords

Cite

@article{arxiv.0901.0315,
  title  = {Statistical description of domains in the Potts model},
  author = {K. Lukierska-Walasek and K. Topolski},
  journal= {arXiv preprint arXiv:0901.0315},
  year   = {2009}
}

Comments

11 pages, 8 figures

R2 v1 2026-06-21T11:57:17.820Z