Density of states of a two dimensional XY model from Wang-Landau algorithm

Details Density of states of a two dimensional XY model from Wang-Landau algorithm Density of states of a two dimensional XY model from Wang-Landau algorithm

2006-11-02

arxiv.org/abs/cond-mat/0611039v1

Phys.Rev.E75:041115,2007

Physics

Condensed Matter

Statistical Mechanics

11 pages, 7figures

Scientific paper

10.1103/PhysRevE.75.041115

Using Wang-landau algorithm combined with analytic method, the density of states of two dimensional XY model on square lattices of sizes $16\times16$, $24\times24$ and $32\times32$ is accurately calculated. Thermodynamic quantities, such as internal energy, free energy, entropy and specific heat are obtained from the resulted density of states by numerical integration. From the entropy curve symptoms of phase transition is observed. A general method of calculation of the density of states of continuous models by simulation combined with analytical method is proposed.

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