English

Broad histogram relation for the bond number and its applications

Statistical Mechanics 2009-11-07 v1

Abstract

We discuss Monte Carlo methods based on the cluster (graph) representation for spin models. We derive a rigorous broad histogram relation (BHR) for the bond number; a counterpart for the energy was derived by Oliveira previously. A Monte Carlo dynamics based on the number of potential moves for the bond number is proposed. We show the efficiency of the BHR for the bond number in calculating the density of states and other physical quantities.

Cite

@article{arxiv.cond-mat/0205578,
  title  = {Broad histogram relation for the bond number and its applications},
  author = {Chiaki Yamaguchi and Naoki Kawashima and Yutaka Okabe},
  journal= {arXiv preprint arXiv:cond-mat/0205578},
  year   = {2009}
}

Comments

7 pages, 7 figures

R2 v1 2026-07-22T10:37:31.468Z