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Equation-free dynamic renormalization in a glassy compaction model.

L Chen1, I G Kevrekidis, P G Kevrekidis

  • 1Department of Chemical Engineering, Engineering Quadrangle, Princeton University, Princeton, NJ 08544, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
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We used dynamic renormalization and computational tools to study void distribution in diffusion-deposition models. This approach accelerates simulations of complex glassy dynamics.

Area of Science:

  • Condensed Matter Physics
  • Computational Physics

Background:

  • The diffusion-deposition problem exhibits complex void distribution dynamics.
  • Understanding these dynamics is crucial for modeling glassy phenomena.

Purpose of the Study:

  • To investigate the asymptotically self-similar evolution of void distribution dynamics.
  • To apply and evaluate dynamic renormalization combined with equation-free computational tools.

Main Methods:

  • Dynamic renormalization techniques.
  • Equation-free computational methods.
  • Fixed point and dynamic approaches (forward and backward in time).

Main Results:

  • The study reveals the apparently asymptotically self-similar evolution of void distribution.

Related Experiment Videos

  • Demonstrated the utility of combined computational and renormalization approaches.

    • Conclusions:

    • The employed methods can accelerate simulators for glassy dynamic phenomena.
    • Provides a framework for studying complex evolving systems.