Transition Matrix Monte Carlo Method

Details Transition Matrix Monte Carlo Method Transition Matrix Monte Carlo Method

2001-04-23

arxiv.org/abs/cond-mat/0104418v1

J. Stat. Phys. vol 106, 245 (2002)

Physics

Condensed Matter

Statistical Mechanics

38 LaTeX pages

Scientific paper

10.1023/A:1013180330892

We present a formalism of the transition matrix Monte Carlo method. A stochastic matrix in the space of energy can be estimated from Monte Carlo simulation. This matrix is used to compute the density of states, as well as to construct multi-canonical and equal-hit algorithms. We discuss the performance of the methods. The results are compared with single histogram method, multi-canonical method, and other methods. In many aspects, the present method is an improvement over the previous methods. PACS numbers: 02.70.Tt, 05.10.Ln, 05.50.+q. Keywords: Monte Carlo method, flat histogram, multi-canonical ensemble.

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