Transitions through critical temperatures in nematic liquid crystals

Apala Majumdar, John Ockendon, Peter Howell, Elena Surovyatkina

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We obtain estimates for critical nematic liquid crystal (LC) temperatures under the action of a slowly varying temperature-dependent control variable. We show that biaxiality has a negligible effect within our model and that these delay estimates are well described by a purely uniaxial model. The static theory predicts two critical temperatures: the supercooling temperature below which the isotropic phase loses stability and the superheating temperature above which the ordered nematic states do not exist. In contrast to the static problem, the isotropic phase exhibits a memory effect below the supercooling temperature in the dynamic framework. This delayed loss of stability is independent of the rate of change of temperature and depends purely on the initial value of the temperature. We also show how our results can be used to improve estimates for LC material constants.
Original languageEnglish
Article number022501
Number of pages8
JournalPhysical Review E
Volume88
Issue number2
Early online date6 Aug 2013
DOIs
Publication statusPublished - 6 Aug 2013

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