Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-06-27
Physics
Condensed Matter
Statistical Mechanics
4 pages, 2 figures, to appear in Phys. Rev. E
Scientific paper
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 $\sqrt{\ln f}$ with the modification factor $f$. This has implications for strategies for obtaining fast convergence.
Bhatt R. N.
Zhou Chenggang
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