Understanding and improving the Wang-Landau algorithm

Chenggang Zhou, R. N. Bhatt

Research output: Contribution to journalArticlepeer-review

168 Scopus citations


We present a mathematical analysis of the Wang-Landau algorithm, prove its convergence, and identify sources of errors and strategies for optimization. In particular, we found the histogram increases uniformly with small fluctuations after a stage of initial accumulation, and the statistical error is found to scale as lnf with the modification factor f. This has implications for strategies for obtaining fast convergence.

Original languageEnglish (US)
Article number025701
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2
StatePublished - Aug 2005

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability


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