Efeitos da topologia de redes em dinâmicas sociais

Abstract

Statistical physics and Complex Systems tools has been widely used for modeling several systems with a large number of elements that interact with each other ,and whose interaction causes non-trivial phenomena . An example is the voter model that consists of studying, among others properties, opinion consensus in a voting dynamics. The agents to system can represent people that have opinion (A or B, for instance) and, throught the interaction with networkscontacts, they can change their opinion and equilibrium states is reached when all peoples have the same opinion, i.e., consensus is achieved. Such a model has already widely studied in lattices networks, whose solution is known and also in heterogeneous substrates, in which the mean field theories and numerical simulations show a non-trivial behavior and how the network heterogeneity influences in the voter dynamics. Our goal is investigate how other features more realistics in present social networks can influence the dynamics of voter model. We include in our model the geographic distance among the nodes, political and economic affinity and also ability to convince others. Our preliminary results show that the geographic distance modifies the connectity distribuition of the network and this change influencies directly the behavior of consensus time as function of size of system. Our work has a strong appeal to describe real situations.