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arXiv:2411.01743

Pseudo Transitions in the Finite-Size Blume-Capel Model

Shi, Lei, Wei Liu, Li, Xiang, Zhang, Xin, Fangfang Wang, Qi, Kai, Zengru Di

Published Nov 4, 2024• 0 citations
arXivHTMLPDF

Abstract

This article investigates the pseudo transitions of the Blume-Capel model on two-dimensional finite-size lattices. By employing the Wang-Landau sampling method and microcanonical inflection point analysis, we identified the positions of phase transitions as well as higher-order phase transitions. Through Metropolis sampling and canonical ensemble analysis, we determined the geometric characteristics of the system at these transition points. When the crystal field parameter $D$ exceeds 1.965, crossing the tricritical point, no third-order dependent phase transition is observed. However, a fourth-order independent transition was identified in the high-temperature region, and through Metropolis sampling analysis, a phase transition from the ordered paramagnetic phase to the disordered paramagnetic phase was confirmed, enhancing the phase diagram. Furthermore, the positions of the third-order phase transition obtained from both microcanonical and canonical analyses are consistent and mutually corroborative. We speculate that third-order dependent transitions vanish in the presence of strong first-order phase transitions.

DOI
10.48550/arxiv.2411.01743

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