Performance of Wang–Landau algorithm in continuous spin models and a case study: Modified XY-model

2007/11/30 by Suman Sinha, Soumen Roy, Soumen Kumar Roy · 18 citations
Physics and Astronomy · #Algorithm #Artificial intelligence #Classical XY model #Computer science #Condensed matter physics #Energy (signal processing) #Histogram #Optics #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Sampling (signal processing) #Scaling #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Spin model #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physleta.2008.11.034

published in Physics Letters A 373(3), 308-314 (Elsevier BV) · 18 pages, 16 figures

openalex publication_date 2008/11/29 · arxiv created 2009/02/11 · arxiv updated 2010/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Performance of Wang-Landau (W-L) algorithm in two continuous spin models is tested by determining the fluctuations in energy histogram. Finite size scaling is performed on a modified XY-model using different W-L sampling schemes. Difficulties faced in simulating relatively large continuous systems using W-L algorithm are discussed.

Citations

• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Equation of State Calculations by Fast Computing Machines
• Wang-Landau Monte Carlo simulation of isotropic-nematic transition in liquid crystals
• Three-dimensional antiferromagneticq-state Potts models: application of the Wang-Landau algorithm
• An improved Monte Carlo method for direct calculation of the density of states