Asymptotic solutions for an electrically induced Freedericksz transition in a wedge of smectic C liquid crystal

A.A.T. Smith, I.W. Stewart

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Theoretical work based on the Freedericksz transition in a wedge of smectic C liquid crystal is presented. Continuum theory is employed in order to mathematically model the two-way interaction between the anisotropic fluid and an applied electric field. Asymptotic methods are used to obtain concise and informative explicit solutions for limiting regimes where (a) the applied voltage is just above threshold, and (b) a high voltage is applied. As is anticipated, in the case of a small dielectric anisotropy, the solution reduces to that obtained when the two-way interaction is neglected. Nevertheless, at voltages close to threshold, this interaction can have a significant effect upon the director profile. Realistic material, geometry and field parameters are adopted in order to display these solutions. By comparing them with those obtained using a numerical method, a high degree of accuracy can be found within the above regimes.
Original languageEnglish
Pages (from-to)11361-11382
Number of pages21
JournalJournal of Physics A: Mathematical and Theoretical
Volume39
Issue number37
DOIs
Publication statusPublished - 15 Sep 2006

Keywords

  • soft matter
  • liquids
  • polymers
  • electrical matter
  • magnetic matter
  • optical matter

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