Noise and disorder: Phase transitions and universality in a model of opinion formation

Abstract

In this work, we study a three-state opinion formation model considering two distinct mechanisms, namely independence and conviction. Independence is introduced in the model as a noise by means of a probability of occurrence q. On the other hand, conviction acts as a disorder in the system, and it is introduced by two discrete probability distributions. We analyze the effects of such two mechanisms on the phase transitions of the model, and we found that the critical exponents are universal over the order–disorder frontier, presenting the same universality class of the mean-field Ising model. In addition, for one of the probability distributions, the transition may be eliminated for a wide range of the parameters.