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Updated: Jun 3, 2026
08:38
A System for Tracking the Dynamics of Social Preference Behavior in Small Rodents
Published on: November 21, 2019
Phase transitions in a two-parameter model of opinion dynamics with random kinetic exchanges
1Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India.
Summary
This study generalizes an opinion formation model, revealing that increased individual influence enhances societal consensus. Phase transitions and power-law behaviors near the consensus boundary indicate complex dynamics and nonuniversal exponents.
Area of Science:
- Statistical Mechanics
- Sociophysics
- Complex Systems
Background:
- A prior kinetic exchange model of opinion formation exhibited spontaneous symmetry breaking.
- Opinion dynamics are crucial for understanding social behavior and consensus formation.
Purpose of the Study:
- To generalize a kinetic opinion formation model by introducing conviction (λ) and influencing ability (μ) parameters.
- To analyze the phase transitions and critical phenomena in this generalized model.
Main Methods:
- Modification of a kinetic exchange model for opinion formation.
- Phase diagram analysis to identify symmetric and symmetry-broken phases.
- Investigation of critical exponents and scaling behavior near the phase boundary.
Main Results:
- A phase boundary at λ=1-μ/2 separates symmetric and symmetry-broken phases.
- The influencing ability (μ) promotes consensus formation.
- Time scales diverge with power-law behavior near the phase boundary.
- Order parameter and condensate exhibit power-law growth with nonuniversal exponents.
Conclusions:
- The generalized model provides insights into consensus formation influenced by individual conviction and ability.
- Nonuniversal exponents suggest complex critical behavior along the phase boundary.
- Absence of diverging length scales and finite fluctuations indicate specific system dynamics near consensus.
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