Statistical description of domains in the Potts model

2009/01/05 by K. Lukierska‐Walasek, Lukierska-Walasek, K., Krzysztof Topolski +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum chaos and dynamical systems #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.0901.0315

openalex publication_date 2009/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Fractal Location and Anomalous Diffusion Dynamics for Oil Wells from the KY Geological Survey

Related

• Statistical description of magnetic domains in the Ising model
• Some remarks about the domain statistics in the Ising model
• Distribution of domain sizes in the zero temperature Glauber dynamics of the one-dimensional Potts model
• Complete analysis of phase transitions and ensemble equivalence for the Curie–Weiss–Potts model
• Efficient sampling and counting algorithms for the Potts model on\n mathbb Z^d at all temperatures