Some remarks about the domain statistics in the Ising model
K. Lukierska-Walasek, K. Topolski, and M. Wodawski
TL;DR
This paper explores the relationship between Zipf's law and the statistical distributions of Fortuin-Kasteleyn clusters in the Ising model, highlighting the skewed nature of domain mass histograms.
Contribution
It introduces a connection between Zipf law and cluster distributions in the Ising model, providing insights into their statistical behavior.
Findings
Histograms for fixed domain masses are right-skewed.
A relation between Zipf law and cluster distributions is established.
Insights into the statistical properties of Ising model clusters.
Abstract
In this paper we describe a relation between the Zipf law and statistical distributions for the Fortuin-Kasteleyn clusters in the Ising model.It has been shown,that histograms for fixed domain masses present the right-skewed distributions.
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Taxonomy
TopicsBayesian Methods and Mixture Models · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods