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Setting Limits on Supersymmetry Using Simplified Models
07:46

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Published on: November 15, 2013

Voter models with conserved dynamics.

Fabio Caccioli1, Luca Dall'Asta, Tobias Galla

  • 1Santa Fe Institute, Hyde Park Road, Santa Fe, New Mexico 87501, USA. caccioli@santafe.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 18, 2013
PubMed
Summary
This summary is machine-generated.

A modified voter model with local magnetization conservation accelerates phase ordering. This model exhibits algebraic domain growth, unlike the standard voter model, and is explained by cluster diffusion dynamics.

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Area of Science:

  • Statistical Physics
  • Complex Systems

Background:

  • The standard voter model describes opinion dynamics but lacks realistic constraints.
  • Understanding phase ordering dynamics is crucial for complex systems.

Purpose of the Study:

  • To investigate the impact of locally conserved magnetization on phase ordering dynamics.
  • To explore the scaling behavior and underlying mechanisms of this modified voter model.

Main Methods:

  • Numerical simulations of a modified voter model in two dimensions.
  • Analysis of domain growth and scaling regimes.
  • Application of a phenomenological cluster diffusion model.

Main Results:

  • The modified voter model exhibits accelerated phase ordering compared to the standard model.
  • Algebraic domain growth was observed, deviating from logarithmic coarsening.
  • A cluster diffusion model successfully predicted the observed scaling regime.

Conclusions:

  • Local conservation laws can significantly alter phase ordering dynamics.
  • The modified voter model presents a new paradigm for studying complex system evolution without thermodynamic potentials.