Dresden 2011 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 22: Social Systems, Opinion and Group Dynamics II

SOE 22.5: Vortrag

Freitag, 18. März 2011, 12:15–12:30, GÖR 226

Analytical calculation of fragmentation transitions in adaptive networks — •Gesa Boehme and Thilo Gross — Max-Planck-Institute for the Physics of Complex Systems, Dresden, Germany

In many adaptive networks fragmentation transitions have been observed, where the network breaks into disconnected state-homogeneous components. In network models which are based on contact processes and therefore contingent on the presence of links connecting different states (active links) this is an absorbing state. Especially models for opinion formation in social communities frequently display a phase transitions from a global homogeneous consensus state to a fragmented state. The critical parameter set, where the fragmentation transition occurs, is well known from numerical simulations, but hard to compute analytically. Moment closure approximations capture the phase transition qualitatively reasonable, but fail with respect to a precise prediction for the critical parameter values. In this talk we present an approach for determining the critical point of the fragmentation transition, which is based on ideas from percolation theory. We demonstrate the proposed approach for the example of an adaptive voter model and find a very good agreement between analytical calculations and numerical results.