Berlin 2018 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 12: Focus Session: Opinion Formation and Voter Models

SOE 12.2: Talk

Tuesday, March 13, 2018, 14:15–14:30, MA 001

Pair approximation for the q-voter model with independence on complex networks — •Arkadiusz Jedrzejewski — Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wroclaw University of Science and Technology, Wroclaw, Poland

We investigate the q-voter model with stochastic noise arising from independence on complex networks. Using the pair approximation, we provide a mathematical description of its behavior. The analytical results are validated by carrying out Monte Carlo experiments. The pair approximation prediction exhibits substantial agreement with simulations, especially for networks with weak clustering and large average degree. Nonetheless, for the average degree close to q, some discrepancies originate.

In the work, we are mainly interested in the time evolution and stationary values of the up-spin concentration. It turns out that the qualitative behavior of a system on studied weakly clustered complex networks is similar as on a complete graph. However, the quantitative behavior depends on the average node degree of an underlying network. What is interesting is that networks which have very different arrangements of edges and node degree distributions lead to the same results when they have the same value of the average node degree. Moreover, we show that in the limiting case the prediction of pair approximation coincides with the mean-field theory.