Phase transitions of Ising and Baxter-Wu model in two dimensional Finite Size Lattices

Wei Liu, Fangfang Wang, Pengwei Sun, Jincheng Wang

Published 2022-03-13Version 1

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