Model of coarsening and vortex formation in vibrated granular rods

Igor S. Aranson, Lev S. Tsimring

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Neicu et al. observed experimentally spontaneous formation of the long-range orientational order and large-scale vortices in a system of vibrated macroscopic rods. We propose a phenomenological theory of this phenomenon based on a coupled system of equations for local rods density and tilt. The density evolution is described by the modified Cahn-Hilliard equation, while the tilt is described by the Ginzburg-Landau type equation. Our analysis shows that, in accordance with the Cahn-Hilliard dynamics, islands of the ordered phase appear spontaneously and grow due to coarsening. 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)
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number2
DOIs
StatePublished - Jan 1 2003

Fingerprint

Coarsening
Tilt
Vortex
rods
vortices
Cahn-Hilliard
Long-range Order
Cahn-Hilliard Equation
Landau-Ginzburg equations
Ginzburg-Landau Equation
Ginzburg-Landau
Modified Equations
Coupled System
System of equations
Model
Motion

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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