English

Zipf's law and phase transition

Statistical Mechanics 2015-06-18 v2

Abstract

We describe the link between the Zipf law and statistical distributions for the Fortuin-Kasteleyn clusters in Ising as well as Potts models. From these results it is seen that Zipf's law can be a criterion of a phase transition, but it does not determine its order. We present the corresponding histograms for fixed domain configurations.

Keywords

Cite

@article{arxiv.1312.7831,
  title  = {Zipf's law and phase transition},
  author = {Krystyna Lukierska-Walasek and Krzysztof Topolski},
  journal= {arXiv preprint arXiv:1312.7831},
  year   = {2015}
}

Comments

9 pages, LaTeX, 11 figures, v2: minor linguistic changes

R2 v1 2026-06-22T02:37:09.281Z