# Statistical description of magnetic domains in the Ising model

Source: [Statistical description of magnetic domains in the Ising model](<https://www.sota2.com/research/paper/68fa21967a2b558e293380ad>)

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

Data updated: 2025-10-28T13:52:16.075Z

Authors: K. Lukierska-Walasek, K. Topolski

Published: 2008-04-22T14:47:20.000Z

## Abstract

We use the Mandelbrot-Zipfs power law for the description of the inhomogenity of the spin system. We describe the statistical distributions of the domain's masses in the Ising model near the phase transition induced by the temperature. The statistical distribution near the critical point appears to be of the Pareto type.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0804.3522>)

[PDF](<https://arxiv.org/pdf/0804.3522.pdf>)