Elastic energy for reflection-symmetric topologies

A Majumdar, JM Robbins, M Zyskin

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)


Nematic liquid crystals in a polyheadral domain, a prototype for bistable displays, may be described by a unit-vector field subject to tangent boundary conditions. Here we consider the case of a rectangular prism. For configurations with reflection-symmetric topologies, we derive a new lower bound for the one-constant elastic energy. For certain topologies, called conformal and anticonformal, the lower bound agrees with a previous result. For the remaining topologies, called nonconformal, the new bound is an improvement, For nonconformal topologies we derive an upper bound, which differs from the lower bound by a factor depending only on the aspect ratios of the prism.
Translated title of the contributionElastic energy for reflection-symmetric topologies
Original languageEnglish
Pages (from-to)2673 - 2687
JournalJournal of Physics A: Mathematical and General
Volume39 (11)
Publication statusPublished - 17 Mar 2006

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS number 032LP

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