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Physics of Fluids / Volume 20 / Issue 10 / ARTICLES / Others

Phys. Fluids 20, 107105 (2008); http://dx.doi.org/10.1063/1.2997344 (14 pages)

A unified theory of dipolophoresis for nanoparticles

Touvia Miloh

School of Mechanical Engineering, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel

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(Received 10 June 2008; accepted 15 September 2008; published online 17 October 2008)

General mobility relations are derived for the translation and rotation of submicrometer-size freely suspended conducting (ideally polarizable) particles of arbitrary shape under dc or ac spatially nonuniform electric forcing. Both linear electrophoretic effects for an initially charged colloid and nonlinear induced-charge electrophoresis of an uncharged particle are considered within the same framework. A concise derivation of the total loads (electrostatic and hydrodynamic) exerted on a single colloid are obtained by integrating the Maxwell, shear and normal (relating to the unsteady Stokes equation) stresses over the particle. These newly derived expressions for the force and torque exerted on a nanoparticle, which is subject to any electric field, are given for an arbitrary Debye thickness and thus open the road to studying nonlinear phoretic motions on the nanoscale.

© 2008 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. GENERAL FORMULATION
  3. ac ELECTRIC FORCING
  4. HYDRODYNAMIC REACTIONS (FORCE AND TORQUE)
  5. ELECTROSTATIC REACTIONS AND MAXWELL STRESSES
  6. TOTAL LOADS AND GENERAL MOBILITY RELATIONS
  7. SOME LIMITING CASES
  8. SUMMARY AND DISCUSSIONS

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KEYWORDS and PACS

Keywords

electric field effects, electrokinetic effects, electrophoresis, nanoparticles, suspensions

PACS

  • 73.22.-f

    Electronic structure of nanoscale materials and related systems

  • 83.80.Hj

    Suspensions, dispersions, pastes, slurries, colloids

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2997344

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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