Critical reexamination of Berreman's theory on surface anchoring

Junichi Fukuda, Makoto Yoneya, Hiroshi Yokoyama

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We critically reexamine well-known Berreman's theory [Phys. Rev. Lett. 28, 1683 (1972)] on the anchoring of a nematic liquid crystal due to its elastic distortions induced by a sinusoidally grooved surface. We put emphasis on the effect of azimuthal distortions of the director n and the contribution of saddle-splay surface elasticity characterized by K24. We give a correct calculation of the anchoring energy and show that Berreman's theory gives a correct result only when K1=K2 and K24=0, where K1 and K2 are the splay and twist elastic constants, respectively. We also present our preliminary numerical attempts to evaluate the anchoring energy of a surface with square patterns and compare the anchoring energy calculated numerically with an analytical one obtained by a direct extension of our theoretical argument on one-dimensional parallel grooves.

Original languageEnglish
Pages (from-to)12-25
Number of pages14
JournalMolecular Crystals and Liquid Crystals
Volume516
DOIs
Publication statusPublished - Jan 1 2010

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elastic properties
Nematic liquid crystals
saddles
Elastic constants
grooves
energy
Elasticity
liquid crystals

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Critical reexamination of Berreman's theory on surface anchoring. / Fukuda, Junichi; Yoneya, Makoto; Yokoyama, Hiroshi.

In: Molecular Crystals and Liquid Crystals, Vol. 516, 01.01.2010, p. 12-25.

Research output: Contribution to journalArticle

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