PMID: 22587057May 17, 2012Paper

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sebastian M KrauseStefan Bornholdt

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 nonequilibrium 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.

References

Jul 20, 2001·Physical Review Letters·I DornicH Hinrichsen
Aug 11, 2005·Physical Review Letters·Omar Al HammalMiguel A Muñoz
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Federico Vazquez, Cristóbal López
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Claudio CastellanoRomualdo Pastor-Satorras

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Citations

Nov 28, 2019·Physical Review. E·Sebastian M KrauseStefan Bornholdt
Dec 25, 2019·Physical Review. E·Byeongjin ChoeKyomin Jung
Feb 20, 2020·Physical Review. E·Federico VazquezJuan Pablo Pinasco
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sebastian M Krause, Stefan Bornholdt

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