2017/06/30 by Lev Barash, L. Yu. Barash, M. A. Fadeeva +3 · 18 citations
Mathematics · Physics and Astronomy · #Algorithm #Computer science #Eigenvalues and eigenvectors #Energy (signal processing) #Ising model #Landau quantization #Magnetic field #Mathematics #Matrix (chemical analysis) #Opinion Dynamics and Social Influence #Physics #Potts model #Quantum mechanics #Space (punctuation) #Statistical physics #Statistics #Stochastic matrix #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #physics.comp-ph
paper · pdf · doi:10.1103/physreve.96.043307
published in Physical review. E 96(4), 043307 (American Physical Society) · 8 pages, 6 figures
arxiv created 2017/10/04 · openalex publication_date 2017/10/18 · arxiv updated 2017/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Wang-Landau (WL) algorithm has been widely used for simulations in many areas of physics. Our analysis of the WL algorithm explains its properties and shows that the difference of the largest eigenvalue of the transition matrix in the energy space from unity can be used to control the accuracy of estimating the density of states. Analytic expressions for the matrix elements are given in the case of the one-dimensional Ising model. The proposed method is further confirmed by numerical results for the one-dimensional and two-dimensional Ising models and also the two-dimensional Potts model.