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Phase transitions and critical phenomena of the Blume–Capel model in complex networks

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

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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Data availability statement

This manuscript has no associated data, or the data will not be deposited. [Authors’ comment: This article is theoretical and has no associated experimental data, and all the numerical data are included in the figures in Sect. 3].

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Acknowledgement

This work is supported by the Natural Science Basic Research Program of Shaanxi (Program No. 2022JM-039).

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Authors and Affiliations

  1. College of Science, Xi’an University of Science and Technology, 48 Shaangu Avenue, Xi’an, 710600, Shaanxi, China

    Jincheng Wang, Wei Liu, Fangfang Wang, Zerun Li & Kezhao Xiong

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  1. Jincheng Wang
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  2. Wei Liu
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  3. Fangfang Wang
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Contributions

JW: construct the model, MC simulation and Writing. WL: supervision and modify the manuscript. FW: finite-size analyzing. ZL: bulk properties’ calculation. KX: supervision.

Corresponding author

Correspondence to Wei Liu.

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Wang, J., Liu, W., Wang, F. et al. Phase transitions and critical phenomena of the Blume–Capel model in complex networks. Eur. Phys. J. B 97, 22 (2024). https://doi.org/10.1140/epjb/s10051-024-00659-7

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