Work

Voter models with conserved dynamics

Year: 2013

Type: article

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.

Source: Physical Review E

DOI: 10.1103/physreve.87.052114

Authors: Fabio Caccioli, Luca Dall’Asta, Tobias Galla, Tim Rogers

Institutions: Santa Fe Institute, Collegio Carlo Alberto, Politecnico di Torino, University of Manchester, University of Bath

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Research Councils UK, European Commission, Engineering and Physical Sciences Research Council