Combination of improved multibondic method and the Wang-Landau method

Details Combination of improved multibondic method and the Wang-Landau method Combination of improved multibondic method and the Wang-Landau method

2002-01-29

arxiv.org/abs/cond-mat/0201527v2

Phys.Rev.E65(2002)056710

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures

Scientific paper

10.1103/PhysRevE.65.056710

We propose a method for Monte Carlo simulation of statistical physical models with discretized energy. The method is based on several ideas including the cluster algorithm, the multicanonical Monte Carlo method and its acceleration proposed recently by Wang and Landau. As in the multibondic ensemble method proposed by Janke and Kappler, the present algorithm performs a random walk in the space of the bond population to yield the state density as a function of the bond number. A test on the Ising model shows that the number of Monte Carlo sweeps required of the present method for obtaining the density of state with a given accuracy is proportional to the system size, whereas it is proportional to the system size squared for other conventional methods. In addition, the new method shows a better performance than the original Wang-Landau method in measurement of physical quantities.

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