English

Difference of energy density of states in the Wang-Landau algorithm

Statistical Mechanics 2012-01-10 v1 Computational Physics

Abstract

Paying attention to the difference of density of states, \Delta ln g(E) = ln g(E+\Delta E) - ln g(E), we study the convergence of the Wang-Landau method. We show that this quantity is a good estimator to discuss the errors of convergence, and refer to the 1/t1/t algorithm. We also examine the behavior of the 1st-order transition with this difference of density of states in connection with Maxwell's equal area rule. A general procedure to judge the order of transition is given.

Keywords

Cite

@article{arxiv.1201.1683,
  title  = {Difference of energy density of states in the Wang-Landau algorithm},
  author = {Yukihiro Komura and Yutaka Okabe},
  journal= {arXiv preprint arXiv:1201.1683},
  year   = {2012}
}