Formation of periodic and localized patterns in an oscillating granular layer

Igor S. Aranson, Lev S. Tsimring

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


A simple phenomenological model for pattern formation in a vertically vibrated layer of granular particles is proposed. This model exhibits a variety of stable cellular patterns including standing rolls and squares as well as localized excitations (oscillons and worms), similar to recent experimental observations (Umbanhowar et al., 1996). The model is an order parameter equation for the parametrically excited waves coupled to the mass conservation law. The structure and dynamics of the solutions resemble closely the properties of patterns observed in the experiments.

Original languageEnglish (US)
Pages (from-to)103-110
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
StatePublished - Jan 2 1998

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics


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