论文标题

二维有限尺寸晶格中的ising和Baxter-Wu模型的伪相过渡

Pseudo-Phase Transitions of Ising and Baxter-Wu Models in Two-Dimensional Finite-Size Lattices

论文作者

Liu, Wei, Wang, Fangfang, Sun, Pengwei, Wang, Jincheng

论文摘要

本文对二维有限尺寸晶格中的Ising和Baxter-Wu模型的伪相跃迁进行了详细的分析。我们进行Wang Landau采样以获得状态的密度。利用微型拐点分析的微磁熵分析,我们在模型中获得了psoudo相变的顺序。 ISING模型的二阶转变和Baxter-WU模型的一阶转换的微域分析结果与传统的规范结果一致。另外,在两个模型中都发现了三阶转变,这意味着高阶相变的普遍性。

This article offers a detailed analysis of pseudo-phase transitions of Ising and Baxter-Wu models in two-dimensional finite-size lattices. We carry out Wang Landau sampling to obtain the density of states. Using microcanonical inflection point analysis with microcanonical entropy, we obtain the order of the psuedo-phase transitions in the models. The microcanonical analysis results of the second-order transition for the Ising model and the first-order transition for the Baxter-Wu model are consistent with the traditional canonical results. In addition, the third-order transitions are found in both models, implying the universality of higher-order phase transitions.

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