Is the broad histogram random walk dynamics correct?

Preprint

2 October 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9810017

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

RANDOM WALK DYNAMICS
HISTOGRAM RANDOM
DETAILED BALANCE
DYNAMICS CORRECT
SHOW EXPLICITLY
BROAD HISTOGRAM

All Related Versions

Version 1, 1998-10-02, ArXiv
Published version: Zeitschrift für Physik B Condensed Matter, 8 (2), 287.

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