Mean-field analysis of the q-voter model on networks

We present a detailed investigation of the behavior of the nonlinear q-voter model for opinion dynamics. At the mean-field level we derive analytically, for any value of the number q of agents involved in the elementary update, the phase diagram, the exit probability and the consensus time at the transition point. The mean-field formalism is extended to the case that the interaction pattern is given by generic heterogeneous networks. We finally discuss the case of random regular networks and compare analytical results with simulations.Comment: 20 pages, 10 figure

Ordering dynamics of the multi-state voter model

The voter model is a paradigm of ordering dynamics. At each time step, a random node is selected and copies the state of one of its neighbors. Traditionally, this state has been considered as a binary variable. Here, we relax this assumption and address the case in which the number of states is a parameter that can assume any value, from 2 to \infty, in the thermodynamic limit. We derive mean-field analytical expressions for the exit probability and the consensus time for the case of an arbitrary number of states. We then perform a numerical study of the model in low dimensional lattices, comparing the case of multiple states with the usual binary voter model. Our work generalizes the well-known results for the voter model, and sheds light on the role of the so far almost neglected parameter accounting for the number of states

Projete comunicação para sustentabilidade : experiências, resultados e perspectivas

Ilustrações do capítulo encontram-se no Anexo I do livro Universidade para o século XXI: educação e gestão ambiental na Universidade de Brasília, p. 331.O capítulo apresenta o relato do PROJETE Comunicação para Sustentabilidade, Projeto de Extensão de Ação Contínua, vinculado à Faculdade de Comunicação da UnB. Discute o referencial teórico, objetivos, procedimentos metodológicos, resultados e perspectivas do projeto de extensão. Desenha o cenário de execução do PROJETE e demonstra a integração desse projeto de extensão com outras ações de pesquisa (iniciação científica e pós-graduação) e de ensino desenvolvidas pela coordenação da equipe