Block Voter Model

2011/05/08 by C. I. N. Sampaio, Sampaio, C. I. N., F. G. B. Moreira +2
Economics, Econometrics and Finance · Physics and Astronomy · #FOS: Physical sciences #Game Theory and Voting Systems #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech #physics.soc-ph

paper · pdf · doi:10.48550/arxiv.1105.1546

10 pages, 7 figures

openalex publication_date 2011/05/08 · arxiv created 2013/09/27 · arxiv updated 2013/09/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We introduce and study the block voter model with noise on two-dimensional square lattices using Monte Carlo simulations and finite-size scaling techniques. The model is defined by an outflow dynamics where a central set of N_PCS spins, here denoted by persuasive cluster spins (PCS), tries to influence the opinion of their neighbouring counterparts. We consider the collective behaviour of the entire system with varying PCS size. When N_PCS>2, the system exhibits an order-disorder phase transition at a critical noise parameter q_c which is a monotonically increasing function of the size of the persuasive cluster. We conclude that how large the PCS is more power of persuasion it has. It also seems that the resulting critical behaviour is Ising-like independent of the range of the interactions.

Related

• Noise induced phase transition in the S-state block voter model
• Simulation of majority rule disturbed by power-law noise
• Three-state Majority-Vote Model on Barabási-Albert and Cubic Networks and the Unitary Relation for Critical Exponents
• Temperature-Noise Interplay in a Coupled Model of Opinion Dynamics
• Diversity and Disorder in the Voter Model with Delays