Magnitude of the Wang-Landau error

29th Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics

物理学;计算机科学

Brown, Gregory^1 ; Rikvold, Pa^1 ; Odbadrakh, Kh^2 ; Nicholson, Dm^3

Department of Physics, Florida State University, Tallahassee

FL

32306, United States^1

Joint Institute for Computational Sciences at ORNL, University of Tennessee, Oak Ridge

TN

37831, United States^2

Department of Physics, University of North Carolina Asheville, Asheville

NC

28804, United States^3

关键词: Density of state;    Entropic sampling;    Random Walk;    Self-avoidance;    Steady state;    True density;    Wang-Landau algorithm;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/750/1/012015/pdf
DOI  :  10.1088/1742-6596/750/1/012015

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The Wang-Landau algorithm is an entropic sampling method that incoroporates an update factor ln fi, which introduces a self-avoidance tendency into the random walk. Continued sampling at constant ln fileads to a steady state estimate of the density of states ln gi(E). We find numerically that the difference between ln gi(E) and the true density of states ln g (E) is proportional to the update factor.