Wang-Landau algorithm for continuous models and joint density of states

Details Wang-Landau algorithm for continuous models and joint density of states Wang-Landau algorithm for continuous models and joint density of states

2005-09-13

arxiv.org/abs/cond-mat/0509335v1

Phys. Rev. Lett. 96, 120201 (2006).

Physics

Condensed Matter

Statistical Mechanics

4 pages 4 figures

Scientific paper

10.1103/PhysRevLett.96.120201

We present modified Wang-Landau algorithm for models with continuous degrees of freedom. We demonstrate this algorithm with the calculation of the joint density of states $g(M,E)$ of ferromagnet Heisenberg models. The joint density of states contains more information than the density of states of a single variable--energy, but is also much more time-consuming to calculate. We discuss the strategies to perform this calculation efficiently for models with several thousand degrees of freedom, much larger than other continuous models studied previously with the Wang-Landau algorithm.

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