Broad histogram relation for the bond number and its applications

Details Broad histogram relation for the bond number and its applications Broad histogram relation for the bond number and its applications

2002-05-28

arxiv.org/abs/cond-mat/0205578v1

Phys.Rev.E 66(2002)036704

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures

Scientific paper

10.1103/PhysRevE.66.036704

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.

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