Model of dynamic self-assembly in ferromagnetic suspensions at liquid interfaces

D. L. Piet, A. V. Straube, A. Snezhko, I. S. Aranson

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

Ferromagnetic microparticles suspended at the interface between immiscible liquids and energized by an external alternating magnetic field show a rich variety of self-assembled structures, from linear snakes to radial asters. In order to obtain insight into the fundamental physical mechanisms and the overall balance of forces governing self-assembly, we develop a modeling approach based on analytical solutions of the time-averaged Navier-Stokes equations. These analytical expressions for the self-consistent hydrodynamic flows are then employed to modify effective interactions between the particles, which in turn are formulated in terms of the time-averaged quantities. Our method allows effective computational verification of the mechanisms of self-assembly and leads to a testable prediction, e.g., on the transitions between various patterns versus viscosity of the solvent.

Original languageEnglish (US)
Article number033024
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number3
DOIs
StatePublished - Sep 30 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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