Phase transitions in the majority-vote model with two types of noises

TL;DR

This paper investigates how two types of noise influence phase transitions in the majority-vote model, revealing that independent behavior alone can induce order-disorder transitions and that these transitions share universality with the Ising model.

Contribution

It introduces and analyzes a majority-vote model with two distinct noises, showing the effects of independence on phase transitions and universality class.

Findings

Independent behavior can induce phase transitions without the usual noise.

The phase transition belongs to the Ising universality class.

The second noise does not alter the critical exponents.

Abstract

In this work we study the majority-vote model with the presence of two distinc noises. The first one is the usual noise $q$, that represents the probability that a given agent follows the minority opinion of his/her social contacts. On the other hand, we consider the independent behavior, such that an agent can choose his/her own opinion $+1$ or $-1$ with equal probability, independent of the group's norm. We study the impact of the presence of such two kinds of stochastic driving in the phase transitions of the model, considering the mean field and the square lattice cases. Our results suggest that the model undergoes a nonequilibrium order-disorder phase transition even in the absence of the noise $q$, due to the independent behavior, but this transition may be suppressed. In addition, for both topologies analyzed, we verified that the transition is in the same universality class of the equilibrium Ising model, i.e., the critical exponents are not affected by the presence of the second noise, associated with independence.