Efficient method of finding scaling exponents from finite-size Monte-Carlo simulations
نویسنده
چکیده
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.
منابع مشابه
High Precision Single-cluster Monte Carlo Measurement of the Critical Exponents of the Classical 3d Heisenberg Model *
We report measurements of the critical exponents of the classical three-dimensional Heisenberg model on simple cubic lattices of size L with L = 12, 16, 20, 24, 32, 40, and 48. The data was obtained from a few long singlecluster Monte Carlo simulations near the phase transition. We compute high precision estimates of the critical coupling Kc, Binder’s parameter U ∗, and the critical exponents ν...
متن کاملMonte Carlo Renormalization Group Analysis of Lattice φ 4 Model in D = 3 , 4
We formulate theoretical basis of recently proposed finite-size scaling method for estimation and elimination of sub-leading scaling field in Monte Carlo simulation of critical phenomena. We also applied the finite-size scaling method to D = 3, 4 lattice φ 4 model, and obtained renormalization flow diagram of leading and sub-leading scaling field. For D = 4, result is compared to finite-size pe...
متن کاملIsing model on three-dimensional random lattices: A Monte Carlo study
We report single-cluster Monte Carlo simulations of the Ising model on three-dimensional Poissonian random lattices with up to 128 000'50 sites which are linked together according to the Voronoi-Delaunay prescription. For each lattice size quenched averages are performed over 96 realizations. By using reweighting techniques and finite-size scaling analyses we investigate the critical properties...
متن کاملThe Ising Model on 3D Random Lattices: A Monte Carlo Study
We report single-cluster Monte Carlo simulations of the Ising model on three-dimensional Poissonian random lattices with up to 128 000 ≈ 503 sites which are linked together according to the Voronoi/Delaunay prescription. For each lattice size quenched averages are performed over 96 realizations. By using reweighting techniques and finite-size scaling analyses we investigate the critical propert...
متن کاملIsing Exponents in the Two-dimensional Site-diluted Ising Model
We study the site-diluted Ising model in two dimensions with Monte Carlo simulations. Using nite-size scaling techniques we compute the critical exponents observing deviations from the pure Ising ones. The diierences can be explained as the eeects of logarithmic corrections, without requiring to change the Universality Class.
متن کامل