The three-dimensional Baxter-Wu Model
arXiv:1808.06702 · doi:10.1103/PhysRevE.100.032141
Abstract
A classic three-dimensional spin model, based upon the Baxter-Wu scheme, is presented. It is found, by entropic sampling simulations, that the behavior of the energy and magnetization fourth-order cumulants points out to a first order phase transition. A finite-size procedure was performed, confirming that the system scales with the dimensionality d = 3, and yielding a high-resolution estimate of the critical temperature as T c = 11.377577(39).
arXiv comment5 pages, 3 figures
References in corpus (8)
- Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
- Step-like magnetization in a spin-chain system: Ca3Co2O6
- Wang-Landau sampling: Improving accuracy
- Ising metamagnets in thin film geometry: equilibrium properties
- Wang-Landau sampling: a criterion for halting the simulations
- A model for the shapes of islands and pits on (111) surfaces of fcc metals
- Critical behavior of the spin- Baxter-Wu model: Entropic sampling simulations
- Static critical behavior of the states Potts model: High-resolution entropic study