A research of higher-order network emotional phase transitions

Fuzhong Nian, Zhang Duan () and Chongpei Wang ()
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Fuzhong Nian: School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, P. R. China
Zhang Duan: School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, P. R. China
Chongpei Wang: School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, P. R. China

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 05, 1-18

Abstract: This paper explores the law of emotion transmission on the social Internet. By applying higher-order network theory, ER random networks are reconstructed and higher-order network structures with multiple interaction points are generated. The I-state of the SI model is extended to set up the propagation rules of emotions based on higher-order networks. Concepts such as sentiment recession rate are introduced to make sentiment propagate through different simplexes, so as to obtain the propagation rules of higher-order networks. Qualitative analysis of emotional changes during the propagation process verifies the phase transition phenomenon of emotions in the network. By comparing simulated results with actual data, we demonstrate the accuracy of our higher-order network-based emotion propagation model in reflecting real-world trends and outcomes. The study also explores the effects of factors such as the initial proportion of extreme emotions on emotion propagation. This study provides valuable insights into understanding the operation of complex systems and offers important implications for government predictions of opinion development.

Keywords: Higher-order network; emotion; communication; phase change; SI model (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0129183124502279

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