Voter models with conserved dynamics

Fabio Caccioli, Luca Dall'Asta, Tobias Galla, Tim Rogers

Research output: Contribution to journalArticle

4 Citations (Scopus)
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Abstract

We propose a modified voter model with locally conserved magnetization and investigate its phase ordering dynamics in two dimensions in numerical simulations. Imposing a local constraint on the dynamics has the surprising effect of speeding up the phase ordering process. The system is shown to exhibit a scaling regime characterized by algebraic domain growth, at odds with the logarithmic coarsening of the standard voter model. A phenomenological approach based on cluster diffusion and similar to Smoluchowski ripening correctly predicts the observed scaling regime. Our analysis exposes unexpected complexity in the phase ordering dynamics without thermodynamic potential.
Original languageEnglish
Article number052114
Number of pages10
JournalPhysical Review E
Volume87
Issue number5
DOIs
Publication statusPublished - 10 May 2013

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Voter Model
Scaling
Domain Growth
scaling
Odds
Coarsening
Magnetization
Standard Model
Two Dimensions
Logarithmic
Thermodynamics
Predict
Numerical Simulation
thermodynamics
magnetization
simulation

Cite this

Voter models with conserved dynamics. / Caccioli, Fabio; Dall'Asta, Luca; Galla, Tobias; Rogers, Tim.

In: Physical Review E, Vol. 87, No. 5, 052114, 10.05.2013.

Research output: Contribution to journalArticle

Caccioli, F, Dall'Asta, L, Galla, T & Rogers, T 2013, 'Voter models with conserved dynamics', Physical Review E, vol. 87, no. 5, 052114. https://doi.org/10.1103/PhysRevE.87.052114
Caccioli, Fabio ; Dall'Asta, Luca ; Galla, Tobias ; Rogers, Tim. / Voter models with conserved dynamics. In: Physical Review E. 2013 ; Vol. 87, No. 5.
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