Pseudo-phase transitions of Ising and Baxter–Wu models in two-dimensional finite-size lattices. (22nd September 2022)

• Record Type: Journal Article
• Authors: Liu, Wei; Wang, Fangfang; Sun, Pengwei; Wang, Jincheng
• Is Part Of: Journal of statistical mechanics. (2022:Sep.)
• Publication Date: 2022-09-22
• Subjects: classical Monte Carlo simulation -- classical phase transitions; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac8e5a
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: 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 pseudo-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.