Critical amplitude ratios of the Baxter-Wu model
arXiv:1007.1838 · doi:10.1016/j.nuclphysb.2010.07.016
Abstract
A Monte Carlo simulation study of the critical and off-critical behavior of the Baxter-Wu model, which belongs to the universality class of the 4-state Potts model, was performed. We estimate the critical temperature window using known analytical results for the specific heat and magnetization. This helps us to extract reliable values of universal combinations of critical amplitudes with reasonable accuracy. Comparisons with approximate analytical predictions and other numerical results are discussed.
13 pages, 13 figures
References in corpus (13)
- Critical Binder cumulant in two-dimensional anisotropic Ising models
- Scaling Relations for Logarithmic Corrections
- Self-Consistent Scaling Theory for Logarithmic Correction Exponents
- Critical Binder cumulant of two-dimensional Ising models
- The critical Binder cumulant in a two--dimensional anisotropic Ising model with competing interaction
- Critical Binder cumulant for isotropic Ising models on square and triangular lattices
- Diversity of critical behavior within a universality class
- Phase transitions in self-dual generalizations of the Baxter-Wu model
- Numerical revision of the universal amplitude ratios for the two-dimensional 4-state Potts model
- Geometrical properties of parafermionic spin models
- A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model
- Extended scaling behavior of the spatially-anisotropic classical XY model in the crossover from three to two dimensions
- Universal ratios of critical amplitudes in the Potts model universality class
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- Universality of the Ising and the S=1 model on Archimedean lattices: A Monte Carlo determination
- Two-dimensional dilute Baxter-Wu model: Transition order and universality
- Universal Amplitude Ratios for Constrained Critical Systems
- Critical properties of the Hintermann-Merlini model
- Machine Learning Domain Adaptation in Spin Models with Continuous Phase Transitions
- Universality in the two-dimensional dilute Baxter-Wu model