Broad Histogram Monte Carlo

Details Broad Histogram Monte Carlo Broad Histogram Monte Carlo

1997-09-04

arxiv.org/abs/cond-mat/9709064v1

Physics

Condensed Matter

Statistical Mechanics

6 pages of a TeX file with 4 PS figures. Related papers at http://www.if.uff.br/~tjpp

Scientific paper

10.1007/s100510050172

We propose a new Monte Carlo technique in which the degeneracy of energy states is obtained with a Markovian process analogous to that of Metropolis used currently in canonical simulations. The obtained histograms are much broader than those of the canonical histogram technique studied by Ferrenberg and Swendsen. Thus we can reliably reconstruct thermodynamic functions over a much larger temperature scale also away from the critical point. We show for the two-dimensional Ising model how our new method reproduces exact results more accurately and using less computer time than the conventional histogram method. We also show data in three dimensions for the Ising ferromagnet and the Edwards Anderson spin glass.

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