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The HoneyComb Paradigm for Research on Collective Human Behavior

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Published on: January 19, 2019

Biswas-Chatterjee-Sen kinetic exchange opinion model for two connected groups.

Krzysztof Suchecki¹, Kathakali Biswas^2,3, Janusz A Hołyst¹

¹Warsaw University of Technology, Faculty of Physics, Koszykowa 75, 00-662 Warsaw, Poland.

Physical Review. E

|August 19, 2025

Summary

A new antisymmetric ordered state was discovered in the Biswas-Chatterjee-Sen opinion dynamics model with modular interactions. This state, where groups hold opposing opinions, is stable within specific interaction and noise limits.

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Area of Science:

Sociophysics
Computational Social Science
Statistical Mechanics

Background:

The Biswas-Chatterjee-Sen model describes opinion dynamics in social systems.
Modular interaction structures, with frequent within-group and rare between-group interactions, are common in real-world networks.

Purpose of the Study:

To investigate opinion dynamics in a modularly structured Biswas-Chatterjee-Sen model.
To identify novel stable states beyond previously known ordered and disordered states.
To determine the conditions for the stability of these states.

Main Methods:

Mean-field analytical approximation was employed to model the system.
Agent-based simulations were conducted to validate analytical predictions.

Main Results:

A new stable antisymmetric ordered state was identified, characterized by opposing dominant opinions in each group.
The stability limits of this antisymmetric state, in terms of interaction strength and noise, were determined.
A discontinuous transition from the antisymmetric to a symmetric state was observed when critical thresholds were exceeded.

Conclusions:

The mean-field approximation accurately predicts the behavior of the modular Biswas-Chatterjee-Sen model.
The antisymmetric ordered state represents a significant finding in understanding opinion polarization in modular networks.
Numerical simulations confirm the analytical predictions regarding stability and transitions.