Ginzburg-Landau model of a liquid crystal with random inclusions

L. Berlyand, E. Khruslov

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider a Ginzburg-Landau three-dimensional functional with a surface energy term to model a nematic liquid crystal with inclusions. The locations and radii of the inclusions are randomly distributed and described by a set of finite dimensional distribution functions. We show that the presence of inclusions can be accounted for by an effective potential. Our main objectives are (a) to derive the sufficient conditions on the distribution functions such that the solutions converge in probability to a solution of a homogenized deterministic problem and (b) to compute the effective potential.

Original languageEnglish (US)
Article number095107
JournalJournal of Mathematical Physics
Volume46
Issue number9
DOIs
StatePublished - Sep 1 2005

Fingerprint

Ginzburg-Landau Model
Liquid Crystal
Inclusion
Effective Potential
liquid crystals
inclusions
Distribution Function
distribution functions
Ginzburg-Landau
Surface Energy
Nematic Liquid Crystal
surface energy
Radius
Converge
Three-dimensional
radii
Sufficient Conditions
Term
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Ginzburg-Landau model of a liquid crystal with random inclusions. / Berlyand, L.; Khruslov, E.

In: Journal of Mathematical Physics, Vol. 46, No. 9, 095107, 01.09.2005.

Research output: Contribution to journalArticle

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