Is the broad histogram random walk dynamics correct?

Details Is the broad histogram random walk dynamics correct? Is the broad histogram random walk dynamics correct?

1998-10-02

arxiv.org/abs/cond-mat/9810017v1

Eur. Phys. J. B 8, 287 (1999).

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 10 pages

Scientific paper

10.1007/s100510050692

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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