Sociophysics models inspired by the Ising model

Pratik Mullick () and Parongama Sen ()
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Pratik Mullick: Wrocław University of Science and Technology
Parongama Sen: University of Calcutta

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 9, 1-16

Abstract: Abstract The Ising model, originally developed for understanding magnetic phase transitions, has become a cornerstone in the study of collective phenomena across diverse disciplines. In this review, we explore how Ising and Ising-like models have been successfully adapted to sociophysical systems, where binary-state agents mimic human decisions or opinions. By focusing on key areas such as opinion dynamics, financial markets, social segregation, game theory, language evolution, and epidemic spreading, we demonstrate how the models describing these phenomena, inspired by the Ising model, capture essential features of collective behavior, including phase transitions, consensus formation, criticality, and metastability. In particular, we emphasize the role of the dynamical rules of evolution in the different models that often converge back to Ising-like universality. We end by outlining the future directions in sociophysics research, highlighting the continued relevance of the Ising model in the analysis of complex social systems. Graphical abstract

Date: 2025
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DOI: 10.1140/epjb/s10051-025-01053-7

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