https://doi.org/10.1140/epjb/s10051-024-00659-7
Regular Article - Statistical and Nonlinear Physics
Phase transitions and critical phenomena of the Blume–Capel model in complex networks
College of Science, Xi’an University of Science and Technology, 48 Shaangu Avenue, 710600, Xi’an, Shaanxi, China
Received:
29
August
2023
Accepted:
11
February
2024
Published online:
23
February
2024
This paper investigates the adsorption of gas molecules onto complex materials. We explore the mapping of the traditional soft-core lattice gas model to the Blume–Capel model, investigating the phase transition and critical phenomena of the Blume–Capel model on complex networks. Additionally, we discuss the impact of cross rewiring links on the network structure. Through Monte Carlo simulation, we obtain thermodynamic properties of different network structures and determine the critical temperatures of these quantities via finite-size analysis. The results reveal the following. As the control parameter r increases, the transition temperature increases. With an increase in the crystal field strength, the transition temperature decreases. Tri-critical phenomena are observed at various control parameters.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
