Theory of pattern formation of metallic microparticles in poorly conducting liquids

Igor Aronson, M. V. Sapozhnikov

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

A continuum theory of self-assembly and pattern formation in metallic microparticles immersed in a poorly conducting liquid in a dc electric field was developed. In terms of conservation laws for the densities of immobile particles and bouncing particles coupled to the Navier-Stokes equation for the liquid, the theory was formulated. It was shown that this theory successfully reproduced the correct topology of the phase diagram and primary patterns observed in the experiment. It was found that the rotation of the clusters is the result of a symmetry-breaking instability leading to the formation of the traveling wave at the cluster perimeter.

Original languageEnglish (US)
Article number236101
JournalPhysical Review Letters
Volume92
Issue number23
DOIs
StatePublished - Jun 11 2004

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microparticles
conduction
liquids
conservation laws
traveling waves
Navier-Stokes equation
self assembly
broken symmetry
topology
phase diagrams
continuums
electric fields

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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Theory of pattern formation of metallic microparticles in poorly conducting liquids. / Aronson, Igor; Sapozhnikov, M. V.

In: Physical Review Letters, Vol. 92, No. 23, 236101, 11.06.2004.

Research output: Contribution to journalArticle

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AB - A continuum theory of self-assembly and pattern formation in metallic microparticles immersed in a poorly conducting liquid in a dc electric field was developed. In terms of conservation laws for the densities of immobile particles and bouncing particles coupled to the Navier-Stokes equation for the liquid, the theory was formulated. It was shown that this theory successfully reproduced the correct topology of the phase diagram and primary patterns observed in the experiment. It was found that the rotation of the clusters is the result of a symmetry-breaking instability leading to the formation of the traveling wave at the cluster perimeter.

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