Existence of an upper critical dimension in the majority voter model

JS Yang, I Kim, W Kwak - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
We study the critical properties of the majority voter model on d-dimensional hypercubic
lattices. In two dimensions, the majority voter model belongs to the same universality class …

Critical phenomena of the majority voter model in a three-dimensional cubic lattice

AL Acuña-Lara, F Sastre - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
In this work we investigate the critical behavior of the three-dimensional simple-cubic
majority voter model. Using numerical simulations and a combination of two different …

Critical phenomena in the majority voter model on two-dimensional regular lattices

AL Acuna-Lara, F Sastre, JR Vargas-Arriola - Physical Review E, 2014 - APS
In this work we studied the critical behavior of the critical point as a function of the number of
nearest neighbors on two-dimensional regular lattices. We performed numerical simulations …

Phase transition in the majority-vote model on the archimedean lattices

U Yu - Physical Review E, 2017 - APS
The majority-vote model with noise was studied on the 11 Archimedean lattices by the
Monte Carlo method and finite-size scaling. The critical noises and critical exponents were …

Three-state majority-vote model on scale-free networks and the unitary relation for critical exponents

ALM Vilela, BJ Zubillaga, C Wang, M Wang, R Du… - Scientific Reports, 2020 - nature.com
We investigate the three-state majority-vote model for opinion dynamics on scale-free and
regular networks. In this model, an individual selects an opinion equal to the opinion of the …

Critical behavior of the majority voter model is independent of transition rates

W Kwak, JS Yang, J Sohn, I Kim - … Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
We study the critical properties of the majority voter model by using two different transition
rates: the Glauber rate and the Metropolis rate. The model with the Glauber rate has been …

Majority-vote model on hyperbolic lattices

ZX Wu, P Holme - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We study the critical properties of a nonequilibrium statistical model, the majority-vote model,
on heptagonal and dual heptagonal lattices. Such lattices have the special feature that they …

Impact of site dilution and agent diffusion on the critical behavior of the majority-vote model

N Crokidakis, PMC de Oliveira - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
In this work we study a modified version of the majority-vote model with noise. In particular,
we consider a random diluted square lattice wherein a site is empty with a probability r. In …

Majority-vote model with different agents

ALM Vilela, FGB Moreira - Physica A: Statistical Mechanics and its …, 2009 - Elsevier
We consider the majority-vote model with noise in a network of social interactions for a
system with two classes of individuals, class σ and class τ. For the two-agent model each …

Effect of strong opinions on the dynamics of the majority-vote model

ALM Vilela, HE Stanley - Scientific reports, 2018 - nature.com
We study how the presence of individuals with strong opinions affects a square lattice
majority-vote model with noise. In a square lattice network we perform Monte-Carlo …