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Block voter model: phase diagram and critical behavior
C I N Sampaio-Filho1, F G B Moreira
1Departamento de Fisica, Universidade Federal de Pernambuco, Recife-PE, Brazil. cesampaiof@gmail.com
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
Summary
In a block voter model with noise, larger persuasive clusters (PCS) increase the critical noise needed for order-disorder transitions. This indicates greater persuasion power from larger clusters.
Area of Science:
- Statistical Physics
- Complex Systems Modeling
Background:
- The voter model is a fundamental framework for studying opinion dynamics and social influence.
- Understanding phase transitions in systems with local interactions and noise is crucial for complex systems research.
Purpose of the Study:
- To investigate the impact of persuasive cluster size on phase transitions in a noisy block voter model.
- To analyze the collective behavior and critical phenomena in two-dimensional square lattices.
Main Methods:
- Monte Carlo simulations were employed to model the system's dynamics.
- Finite-size scaling techniques were utilized to identify and characterize phase transitions.
Main Results:
- An order-disorder phase transition was observed when the persuasive cluster size (N(PCS)) exceeded 2.
- The critical noise parameter (q(c)) increased monotonically with the size of the persuasive cluster.
- The critical behavior exhibited Ising-like properties, irrespective of interaction range.
Conclusions:
- Larger persuasive clusters demonstrate enhanced influence, requiring higher noise levels to disrupt order.
- The study provides insights into how local influence structures affect macroscopic phase transitions in noisy systems.
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