Model of coarsening and vortex formation in vibrated granular rods

Igor Aronson, Lev S. Tsimring

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

A phenomenological model of the formation of the vortical ordered state in the system of vertically vibrated rods was proposed. The density evolution was described by the modified Cahn-Hilliard equation and the tilt was described by the Ginzburg-Landau type equation. It was found that the generic vortex solutions of the Ginzburg-Landau equation for the tilt correspond to the vortical motion of the rods around the cores which are located near the centers of the islands.

Original languageEnglish (US)
Article number021305
Pages (from-to)213051-213054
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number2 1
StatePublished - Feb 1 2003

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Coarsening
Tilt
Vortex
rods
vortices
Cahn-Hilliard Equation
Landau-Ginzburg equations
Ginzburg-Landau Equation
Ginzburg-Landau
Modified Equations
Motion
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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Model of coarsening and vortex formation in vibrated granular rods. / Aronson, Igor; Tsimring, Lev S.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 67, No. 2 1, 021305, 01.02.2003, p. 213051-213054.

Research output: Contribution to journalArticle

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