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Wang-Landau algorithm: A theoretical analysis of the saturation of the error

R. E. Belardinelli, V. D. Pereyra
2007 Journal of Chemical Physics  

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2007 pre-print
arXiv:cond-mat/0702414v2 fatcat:bczgum6mvfbaxapv4lwvhof3qy
2007 accepted
arXiv:cond-mat/0702414v3 fatcat:2ap5xviy4zhn5birrt6y2ou6mm
2007 pre-print
arXiv:cond-mat/0702414v1 fatcat:zsntrulwwfe5to6avq37ecs2mi
In this work we present a theoretical analysis of the convergence of the Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] which was introduced years ago to calculate the density of states in statistical models. We study the dynamical behavior of the error in the calculation of the density of states.We conclude that the source of the saturation of the error is due to the decreasing variations of the refinement parameter. To overcome this limitation, we present an analytical treatment in
more » ... hich the refinement parameter is scaled down as a power law instead of exponentially. An extension of the analysis to the N-fold way variation of the method is also discussed.
doi:10.1063/1.2803061 pmid:18020628 fatcat:dsguhpguz5h6nly7nbfcoagktm
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Citation

R. E. Belardinelli, V. D. Pereyra. "Wang-Landau algorithm: A theoretical analysis of the saturation of the error." Journal of Chemical Physics 127.18 (2007) 184105