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Is the broad histogram random walk dynamics correct?

Jian-Sheng Wang
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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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Jian-Sheng Wang. 1998-10-02. Is the broad histogram random walk dynamics correct?. https://doi.org/10.1007/s100510050692

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