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

Abstract

Using Wang-landau algorithm combined with analytic method, the density of states of two dimensional XY model on square lattices of sizes $16\times 16$, $24\times 24$ and $32\times 32$ 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.

11 pages, 7figures

References in corpus (5)

• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Understanding and Improving the Wang-Landau Algorithm
• Avoiding Boundary Effects in Wang-Landau Sampling
• On the nonextensivity of the long range X-Y model
• Numerical Determination of the Distribution of Energies for the XY-model

Cited by in corpus (7)

• Approaches to the sign problem in lattice field theory
• The density of states in gauge theories
• Tensor renormalization group study of classical XY model on the square lattice
• Thermodynamics of the two-dimensional XY model from functional renormalization
• Computer simulation of two continuous spin models using Wang-Landau-Transition-Matrix Monte Carlo Algorithm
• An efficient algorithm for numerical computations of continuous densities of states
• Dynamically Optimized Wang-Landau Sampling with Adaptive Trial Moves and Modification Factors