Scaling behavior of coarsening Faraday heaps

H.J. van Gerner, J.P. van der Weele, Roger M. van der Meer, Martin Anton van der Hoef

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
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Abstract

When a layer of sand is vertically shaken, the surface spontaneously breaks up in a landscape of small conical “Faraday heaps,” which merge into larger ones on an ever increasing time scale. We propose a model for the heap dynamics and show analytically that the mean lifetime of the transient state with N heaps scales as N −2 . When there is an abundance of sand, such that the vibrating plate always remains completely covered, this means that the average diameter of the heaps grows as t 1/2 . Otherwise, when the sand is less plentiful and parts of the plate get depleted during the coarsening process, the average diameter of the heaps grows more slowly, namely as t 1/3 . This result compares well with experimental observations.
Original languageEnglish
Article number042203
Pages (from-to)-
Number of pages8
JournalPhysical review E: Statistical, nonlinear, and soft matter physics
Volume92
Issue number4
DOIs
Publication statusPublished - 2015

Keywords

  • METIS-313325
  • IR-99822

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