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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 25: Poster session

SOE 25.13: Poster

Donnerstag, 14. März 2013, 17:15–19:00, Poster C

The generalized voter model as a kinetic Ising model — Sebastian M. Krause, •Philipp Böttcher, and Stefan Bornholdt — Institut für Theoretische Phsik, Universität Bremen, Hochschulring 18, D-28359 Bremen, Germany

Opinion formation models have sparked considerable interest in the physics community. A prominent model is the voter model which displays interesting features (i.e absorbing states), is analytically solvable and displays critical behaviour on a 2D-lattice. Variants introduce a social temperature, to tune between persuasiveness and non-conformity. These models display a non-equilibrium phase transition and define a new universality class, the generalized voter-model-class.
Here we investigate a kinetic Ising model on a two-dimensional torus without bulk noise and with a social temperature. The proposed model has a close relationship to the voter model, which is included at the critical social temperature, and the Sznajd model, in which persuasiveness also increases with growing number of proponents. It displays mean-field-like behaviour, absorbing states and an abrupt phase transition with critical convergences, and can be found in the generalized voter-model-class. Finally, we use a Fokker-Planck description and compare its results to mean-field calculations in order to investigate the phase transition, finite-size effects and effects of the absorbing states.

[1] S.Krause, P.Böttcher, and S.Bornholdt, Physical Review E 85, 031126 (2012)