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Avalanches at rough surfaces.

G C Barker1, A Mehta

  • 1Institute of Food Research, Norwich Research Park, Colney, Norwich NR4 7UA, United Kingdom. baker@bbsrc.ac.uk

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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This study models sandpile surfaces, revealing how evolving disorder impacts kinetic roughening and dynamical scaling. The findings show good agreement with continuum models, offering insights into critical phenomena in sandpile dynamics.

Area of Science:

  • Complex Systems
  • Statistical Physics
  • Computational Modeling

Background:

  • Sandpile models are crucial for understanding self-organized criticality.
  • Previous models often simplify structural disorder.
  • Understanding surface evolution is key to sandpile dynamics.

Purpose of the Study:

  • To investigate surface properties of a lattice sandpile model with evolving disorder.
  • To propose a dynamical scaling hypothesis for sandpile automata.
  • To explore the relationship between kinetic roughening and sandpile evolution.

Main Methods:

  • Development of a simple lattice model for sandpile dynamics.
  • Inclusion of evolving structural disorder within the model.
  • Analysis of surface properties and kinetic roughening phenomena.

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Main Results:

  • Characterization of surface properties influenced by structural disorder.
  • Presentation of a dynamical scaling hypothesis applicable to sandpile automata.
  • Demonstration of a link between kinetic roughening and sandpile evolution.

Conclusions:

  • The lattice model effectively captures key sandpile behaviors.
  • The proposed scaling hypothesis provides a framework for understanding sandpile automata.
  • Strong agreement with continuum models highlights the universality of critical phenomena in sandpile dynamics.