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07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Symmetry breaking by heating in a continuous opinion model.
Celia Anteneodo1,2, Nuno Crokidakis3
1Departamento de Física, PUC-Rio, Rio de Janeiro/RJ, Brazil.
Physical Review. E
|May 17, 2017
Summary
This study explores a continuous opinion model with social interactions. It identifies critical points and phase transitions, revealing new insights into collective opinion dynamics and social temperature effects.
Area of Science:
- Social dynamics
- Statistical physics
- Opinion modeling
Background:
- Continuous opinion models simulate societal debates.
- Interactions can be positive or negative, influenced by social temperature.
- Collective states include symmetry breaking, symmetric ties, and neutral indecision.
Purpose of the Study:
- To investigate the critical behavior and phase transitions in a continuous opinion model.
- To analyze the impact of interaction types (positive/negative couplings) and social temperature on opinion dynamics.
- To characterize the universality classes of observed phase transitions.
Main Methods:
- Utilizing a continuous opinion model with kinetic exchanges in a fully connected population.
- Introducing a social temperature parameter (T) to control individual responses towards neutrality.
- Analyzing pairwise interactions with a fraction (p) of negative couplings.
Main Results:
- Identified critical points and exponents characterizing phase transitions between collective states.
- Symmetry breaking transitions align with the Ising mean-field universality class.
- Absorbing-phase transitions (β=0.5) deviate from the directed percolation class.
- Ordered phases emerge with increasing social temperature.
Conclusions:
- The study elucidates the complex phase transitions in opinion dynamics.
- Findings suggest that social temperature can drive the emergence of ordered collective states.
- The deviation of absorbing-phase transitions from standard models opens new research avenues.
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