Emergence of order in an oscillated granular layer

Daniel I. Goldman, M.D. Shattuck, Harry L. Swinney and Gemunu H. Gunaratne

Physica A: Statistical Mechanics and its Applications, 2002, vol. 306, issue C, 180-188

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.

Keywords: Pattern formation; Disorder; Granular media (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:306:y:2002:i:c:p:180-188

DOI: 10.1016/S0378-4371(02)00496-X

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