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Comment on "Deterministic equations of motion and phase ordering dynamics".

Julien Kockelkoren1, Hugues Chaté

  • 1CEA-Service de Physique de l'Etat Condensé, Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
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Phase ordering dynamics in the microcanonical phi(4) model were re-examined. New numerical results indicate that observed unusual scaling laws were transient, with Ising-like ordering occurring at later times.

Area of Science:

  • * Condensed Matter Physics
  • * Statistical Mechanics
  • * Computational Physics

Background:

  • * The microcanonical phi(4) model is used to study phase ordering dynamics.
  • * Previous work claimed unusual scaling laws in this model.
  • * Lattice effects and transient dynamics can influence observed scaling.

Purpose of the Study:

  • * To re-investigate the phase ordering dynamics in the microcanonical phi(4) model.
  • * To clarify the scaling laws governing late-time behavior.
  • * To identify the influence of lattice effects and energy conservation.

Main Methods:

  • * Performing detailed numerical simulations.
  • * Analyzing scaling laws and corrections to scaling.
  • * Comparing results with theoretical predictions.

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Main Results:

  • * Zheng's claimed unusual scaling laws were identified as transient dynamics.
  • * Lattice effects were found to introduce significant corrections to scaling.
  • * Late-time dynamics exhibit Ising-like (Model A) phase ordering.
  • * Energy conservation influences corrections to scaling.

Conclusions:

  • * The microcanonical phi(4) model exhibits standard Ising-like phase ordering at late times.
  • * Transient dynamics and lattice effects can mask equilibrium behavior.
  • * Careful consideration of corrections to scaling is crucial for accurate analysis.