中文

Transition Matrix Monte Carlo Method

统计力学 2011-12-30 v1

摘要

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.

关键词

引用

@article{arxiv.cond-mat/0104418,
  title  = {Transition Matrix Monte Carlo Method},
  author = {Jian-Sheng Wang and Robert H. Swendsen},
  journal= {arXiv preprint arXiv:cond-mat/0104418},
  year   = {2011}
}

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38 LaTeX pages