# Statistical description of domains in the Potts model

Source: [Statistical description of domains in the Potts model](<https://www.sota2.com/research/paper/68fa23582c2a376019396339>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:28.088Z

Authors: K. Lukierska-Walasek, K. Topolski

Published: 2009-01-05T14:21:23.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0901.0315>)

[PDF](<https://arxiv.org/pdf/0901.0315.pdf>)