Is the broad histogram random walk dynamics correct?
arXiv:cond-mat/9810017 · doi:10.1007/s100510050692
Abstract
We show explicitly that the broad histogram single-spin-flip random walk dynamics does not give correct microcanonical average even in one dimension. The dynamics violates detailed balance condition by an amount which decreases with system size. As a result, in distribution different configurations with the same energy can have different probabilities. We propose a modified dynamics which ensures detailed balance and the histogram obtained from this dynamics is exactly flat.
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