Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2002-03-11
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 5 figures, submitted to Phys. Rev. Lett
Scientific paper
10.1103/PhysRevE.67.021305
Neicu and Kudrolli 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 modified Cahn-Hilliard equation, while the tilt is described by the Ginzburg-Landau type equation. Our analysis shows that, in accordance to the Cahn-Hilliard dynamics, the 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.
Aranson Igor S.
Tsimring Lev S.
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