Multicanonical simulations of the 2D spin-$1$ Baxter-Wu model in a crystal field

Abstract

We investigate aspects of universality in the two-dimensional (2D) spin-$1$ Baxter-Wu model in a crystal field $\Delta$ using a parallel version of the multicanonical algorithm employed at constant temperature $T$. A detailed finite-size scaling analysis in the continuous regime of the $\Delta -T$ phase diagram of the model indicates that the transition belongs to the universality class of the $4$-state Potts model. The presence of first-order-like finite-size effects that become more pronounced as one approaches the pentacritical point of the model is highlighted and discussed.

6 pages, 6 figures, XXXII IUPAP Conference on Computational Physics

References in corpus (1)

• Parallel multicanonical study of the three-dimensional Blume-Capel model

Cited by in corpus (4)

• Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• Two-dimensional dilute Baxter-Wu model: Transition order and universality
• Universal and non-universal signatures in the scaling functions of critical variables