Efficient method of finding scaling exponents from finite-size Monte-Carlo simulations

TL;DR

This paper introduces a new technique to accurately determine scaling exponents from finite-size Monte Carlo simulations, addressing the common issue of finite-size effects that hinder reliable estimation.

Contribution

The paper presents a novel method for finite-size scaling analysis that improves the reliability of exponent estimation in Monte Carlo simulations.

Findings

Technique effectively reduces finite-size effects

Demonstrated on two data sets with improved accuracy

Applicable to complex systems in statistical physics

Abstract

Monte-Carlo simulations are routinely used for estimating the scaling exponents of complex systems. However, due to finite-size effects, determining the exponent values is often difficult and not reliable. Here we present a novel technique of dealing the problem of finite-size scaling. The efficiency of the technique is demonstrated on two data sets.