Mean-field-like behavior of the generalized voter-model-class kinetic Ising model
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.
Keywords
Cite
@article{arxiv.1212.4782,
title = {Mean-field-like behavior of the generalized voter-model-class kinetic Ising model},
author = {Sebastian M. Krause and Philipp Böttcher and Stefan Bornholdt},
journal= {arXiv preprint arXiv:1212.4782},
year = {2012}
}
Comments
8 pages, 10 figures