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arXiv · 1212.4782

Mean-field-like behavior of the generalized voter-model-class kinetic Ising model

Sebastian M. Krause·Philipp Böttcher·Stefan Bornholdt
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Abstract

We analyze a kinetic Ising model with suppressed bulk noise which is a prominent representative of the generalized voter model phase transition. On the one hand we discuss the model in the context of social systems, and opinion formation in the presence of a tunable social temperature. On the other hand we characterize the abrupt phase transition. The system shows non-equilibrium dynamics in the presence of absorbing states. We slightly change the system to get a stationary state model variant exhibiting the same kind of phase transition. Using a Fokker-Planck description and comparing to mean field calculations, we investigate the phase transition, finite size effects and the effect of the absorbing states resulting in a dynamic slowing down.

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Sebastian M. Krause, Philipp Böttcher, Stefan Bornholdt. 2012-12-19. Mean-field-like behavior of the generalized voter-model-class kinetic Ising model. https://doi.org/10.1103/physreve.85.031126

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