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

2008/04/11 by Jaan Kalda, Kalda, Jaan · 1 citation
Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.0804.1911

arxiv created 2008/04/11 · arxiv updated 2009/12/01

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.

Cited by

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

Related

• Corrections to finite-size scaling in the 3D Ising model based on non-perturbative approaches and Monte Carlo simulations
• Critical finite-size scaling with constraints: Fisher renormalization revisited
• Scaling Results for Piecewise Deterministic Monte Carlo : A Survey
• Precision Evaluation Criteria for Simulation Algorithms in Infinite Systems: A Network Model-Based Approach
• Monte Carlo Simulation of Small-World Models with Weak Long-Range Interactions