Understanding and Improving the Wang-Landau Algorithm
Statistical Mechanics
2013-05-29 v4
Abstract
We present a mathematical analysis of the Wang-Landau algorithm, prove its convergence, identify sources of errors and strategies for optimization. In particular, we found the histogram increases uniformly with small fluctuation after a stage of initial accumulation, and the statistical error is found to scale as with the modification factor . This has implications for strategies for obtaining fast convergence.
Keywords
Cite
@article{arxiv.cond-mat/0306711,
title = {Understanding and Improving the Wang-Landau Algorithm},
author = {Chenggang Zhou and R. N. Bhatt},
journal= {arXiv preprint arXiv:cond-mat/0306711},
year = {2013}
}
Comments
4 pages, 2 figures, to appear in Phys. Rev. E