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Published on: December 4, 2017
Percolation in a kinetic opinion exchange model
1Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India. anjanphys@gmail.com
Summary
This study explores geometrical cluster percolation in the LCCC opinion model. The critical exponents for this percolation transition are robust and indicate a unique universality class, distinct from other known models.
Area of Science:
- Statistical Physics
- Complex Systems
- Computational Physics
Background:
- The LCCC model is a kinetic opinion exchange model on a square lattice.
- Understanding opinion dynamics and phase transitions is crucial in complex systems.
Purpose of the Study:
- Investigate the percolation transition of geometrical clusters in the LCCC model.
- Determine if the critical exponents belong to a known universality class.
Main Methods:
- Simulated the LCCC model on a square lattice.
- Defined clusters based on opinion values exceeding a threshold (Ω).
- Analyzed critical exponents using data collapses of cluster size and Binder cumulant.
Main Results:
- Identified a percolation transition for geometrical clusters, distinct from the order parameter transition.
- Found that critical exponents are independent of conviction and influencing parameters.
- Observed that the exponents do not match those of static Ising, dynamic Ising, or standard percolation.
Conclusions:
- The LCCC model's geometrical cluster percolation belongs to a unique universality class.
- The percolation transition is robust across different parameter values.
- This finding contributes to the classification of universality classes in opinion dynamics models.
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