论文标题
二维稀释型baxter-wu模型的普遍性
Universality in the two-dimensional dilute Baxter-Wu model
论文作者
论文摘要
我们研究了在晶体场$δ$的情况下，二维自旋 - $ 1 $ baxter-wu模型中的普遍性问题。我们采用了两种类型的广泛数值模拟，为我们提供了互补的结果：以$δ$的固定值进行王 - landau采样，以及在恒温$ t $下执行的多义方法的并行变体。 $（δ，t）$相图的二阶相变状态中的详细有限尺寸缩放分析表明，过渡属于$ 4 $ -State Potts模型的通用类别。讨论了关于过渡性质的先前争议，并可能归因于有限大小的效果的存在，尤其是当人们接近模型的质临界点时。
We study the question of universality in the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal field $Δ$. We employ extensive numerical simulations of two types, providing us with complementary results: Wang-Landau sampling at fixed values of $Δ$ and a parallelized variant of the multicanonical approach performed at constant temperature $T$. A detailed finite-size scaling analysis in the regime of second-order phase transitions in the $(Δ, T)$ phase diagram indicates that the transition belongs to the universality class of the $4$-state Potts model. Previous controversies with respect to the nature of the transition are discussed and possibly attributed to the presence of strong finite-size effects, especially as one approaches the pentacritical point of the model.
