Transisi Fase Order-Disorder pada Model Dinamika Opini q-Voter

Abstract

This study examines the opinion dynamics of the q-voter model in the presence of a noise parameter. The q-voter model is one of the well-known opinion dynamics models in Sociophysics, namely a model that describes the rules of agent interaction (agent-based model) to reach an agreement. The model is defined in a complete graph, where all agents are connected and can interact with each other. The macroscopic parameters of the system, such as order parameters susceptibility and Binder cumulant were analyzed analytically using mean-field approach and numerically using Monte Carlo simulations. Based on our results, the analytical result agrees very well with the numerical result. It is observed that the model undergoes a continuous (second-order phase transition) for and discontinuous (first-order phase transition) for probability where is the noise parameter introduced to this model. From a social perspective, it can be understood that there is a transition from a consensus state (agreement) to a status quo (disagreement) at a critical probability . The critical exponential parameters and are also obtained using the finite-size scaling relation, which shows that the model is in the same universality class as the mean-filed Ising model.