Voter models with conserved dynamics

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.

5 pages, 4 figures; Supplementary Material available

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Cited by in corpus (8)

• Percolation and coarsening in the bidimensional voter model
• Ordering Kinetics of the two-dimensional voter model with long-range interactions
• Coarsening and metastability of the long-range voter model in three dimensions
• Curvature-driven growth and interfacial noise in the voter model with self-induced zealots
• Aging properties of the voter model with long-range interactions
• Dynamics of Influence on Hierarchical Structures
• Ordering kinetics with long-range interactions: interpolating between voter and Ising models
• Solution of the Voter Model by Spectral Analysis