The swapping-trajectory effect: Lattice evolution and buckling transition in wall-bounded hydrodynamic crystals

Jerzy Blawzdziewicz, Eligiusz Wajnryb

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3 Scopus citations

Abstract

We analyze novel structural transformations in perturbed periodic square monolayers of microspheres in parabolic flow between two parallel walls. We find that a perturbed monolayer is initially stabilized by the swapping-trajectory mechanism that causes the particles to fluctuate between faster and slower streamlines in such a way that particle collisions do not occur. The fluctuations slowly decay in time, and the array achieves nearly perfect rectangular order. Surprisingly, after the fluctuations have dissipated, the particle lattice undergoes a sudden buckling instability that produces coherent vertical displacements of particle rows oriented in the flow direction. The instability results in formation of a disordered phase in which particles are arranged into meandering strings, similar to the structures observed in recent experiments [2012 PNAS 109 63]. We show that the behavior of the system is controlled by the swapping-trajectory interactions at all stages of the evolution.

Original languageEnglish
Article number012008
JournalJournal of Physics: Conference Series
Volume392
Issue number1
DOIs
StatePublished - 2012
EventMicroparticles in Stokes Flows - Symposium in Honor of Francois Feuillebois' 65th Birthday - Warsaw, Poland
Duration: Aug 21 2011Aug 24 2011

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