Localized and cellular patterns in a vibrated granular layer

Lev S. Tsimring, Igor S. Aranson

Research output: Contribution to journalArticlepeer-review

151 Scopus citations


We propose a phenomenological model for pattern formation in a vertically vibrated layer of granular material. This model exhibits a variety of stable cellular patterns, including standing rolls and squares as well as localized objects (oscillons and worms), similar to recent experimental observations [Umbanhowar, Melo, and Swinney, Nature (London) 382, 793 (1996)]. The model is an amplitude equation for the parametrical instability coupled to the mass conservation law. The structure and dynamics of the solutions resemble closely the properties of localized and cellular patterns observed in the experiments.

Original languageEnglish (US)
Pages (from-to)213-216
Number of pages4
JournalPhysical review letters
Issue number2
StatePublished - Jul 14 1997

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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