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Emergence of order in an oscillated granular layer

Author

Listed:
  • Goldman, Daniel I.
  • Shattuck, M.D.
  • Swinney, Harry L.
  • Gunaratne, Gemunu H.

Abstract

Our experiments on a vertically oscillated granular layer reveal that spatial patterns emerge in two stages following a change of parameter into the pattern-forming regime: an initial, domain-forming stage and a later stage in which domains coarsen to form ultimately an extended regular pattern. We characterize the evolution of the pattern using a “disorder function” δ̄(β), where β is a moment of the disorder operator (Gunaratne et al., Phys. Rev. E 57 (1998) 5146). The disorder in the initial stage is found to be consistent with a decay given by δ̄(β)∼t−β/2, in accord with theory that predicts that behavior in this stage should be universal for pattern forming systems. The final stage is non-universal.

Suggested Citation

  • Goldman, Daniel I. & Shattuck, M.D. & Swinney, Harry L. & Gunaratne, Gemunu H., 2002. "Emergence of order in an oscillated granular layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 306(C), pages 180-188.
  • Handle: RePEc:eee:phsmap:v:306:y:2002:i:c:p:180-188
    DOI: 10.1016/S0378-4371(02)00496-X
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