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

D. L. Piet, A. V. Straube, A. Snezhko, and I. S. Aranson
Phys. Rev. E 88, 033024 – Published 30 September 2013

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 18 July 2013

DOI:https://doi.org/10.1103/PhysRevE.88.033024

©2013 American Physical Society

Authors & Affiliations

D. L. Piet1,2, A. V. Straube3, A. Snezhko2, and I. S. Aranson1,2

  • 1Department of Engineering Science and Applied Mathematics, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, USA
  • 2Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA
  • 3Department of Physics, Humboldt University of Berlin, Newtonstraße 15, 12489 Berlin, Germany

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 88, Iss. 3 — September 2013

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×