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Sociophysics models inspired by the Ising model

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arxiv 2506.23837 v1 pith:PRY73MN5 submitted 2025-06-30 physics.soc-ph cond-mat.stat-mechphysics.comp-ph

Sociophysics models inspired by the Ising model

classification physics.soc-ph cond-mat.stat-mechphysics.comp-ph
keywords isingmodelmodelscollectiveevolutioninspiredising-likephase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 sociphysics research, highlighting the continued relevance of the Ising model in the analysis of complex social systems.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Collective Alignment in LLM Multi-Agent Systems: Disentangling Bias from Cooperation via Statistical Physics

    cond-mat.stat-mech 2026-05 unverdicted novelty 7.0

    LLM multi-agent systems on lattices show bias-driven order-disorder crossovers instead of true phase transitions, with extracted effective couplings and fields serving as model-specific fingerprints.

  2. Spontaneous Symmetry Breaking, Group Decision Making and Beyond 2. Distorted Polarization and Vulnerability

    physics.soc-ph 2025-09 conditional novelty 4.0

    In a zero-temperature Ising-like model of opinion dynamics, a single well-placed local field, or two opposed fields at the right sites, can override the random spontaneous consensus and force a predetermined majority.