Is the broad histogram random walk dynamics correct?
Statistical Mechanics
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9810017,
title = {Is the broad histogram random walk dynamics correct?},
author = {Jian-Sheng Wang},
journal= {arXiv preprint arXiv:cond-mat/9810017},
year = {2009}
}
Comments
LaTeX, 10 pages