Scaling corrections: site-percolation and Ising model in three dimensions

TL;DR

This paper uses Finite-Size Scaling to accurately determine critical properties of the 3D Ising model and site percolation, emphasizing correction-to-scaling parameterization to minimize systematic errors.

Contribution

It introduces refined correction-to-scaling parameterization methods for more precise critical quantity estimation in 3D models.

Findings

Accurate critical quantities for 3D Ising and percolation models.

Systematic errors reduced below statistical uncertainties.

Enhanced finite-size scaling techniques for critical phenomena.

Abstract

Using Finite-Size Scaling techniques we obtain accurate results for critical quantities of the Ising model and the site percolation, in three dimensions. We pay special attention in parameterizing the corrections-to-scaling, what is necessary to put the systematic errors below the statistical ones.