Transitions through critical temperatures in nematic liquid crystals

Handle URI:
http://hdl.handle.net/10754/600068
Title:
Transitions through critical temperatures in nematic liquid crystals
Authors:
Majumdar, Apala; Ockendon, John; Howell, Peter; Surovyatkina, Elena
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. © 2013 American Physical Society.
Citation:
Majumdar A, Ockendon J, Howell P, Surovyatkina E (2013) Transitions through critical temperatures in nematic liquid crystals. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.022501.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
6-Aug-2013
DOI:
10.1103/PhysRevE.88.022501
PubMed ID:
24032850
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
A.M. is supported by EPSRC Career Acceleration Fellowship EP/J001686/1, an Oxford Centre for Collaborative Applied Mathematics (OCCAM) Visiting Fellowship, and a Keble Small Research Grant. This publication is partly based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). A.M. would like to thank OCCAM for its hospitality. E.S. would like to thank OCCAM for funding. J.R.O. gratefully acknowledges financial support from a Leverhulme Emeritus Fellowship. We are grateful to the two anonymous referees for their comments which helped to much improve the manuscript.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorMajumdar, Apalaen
dc.contributor.authorOckendon, Johnen
dc.contributor.authorHowell, Peteren
dc.contributor.authorSurovyatkina, Elenaen
dc.date.accessioned2016-02-28T06:35:24Zen
dc.date.available2016-02-28T06:35:24Zen
dc.date.issued2013-08-06en
dc.identifier.citationMajumdar A, Ockendon J, Howell P, Surovyatkina E (2013) Transitions through critical temperatures in nematic liquid crystals. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.022501.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid24032850en
dc.identifier.doi10.1103/PhysRevE.88.022501en
dc.identifier.urihttp://hdl.handle.net/10754/600068en
dc.description.abstractWe 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. © 2013 American Physical Society.en
dc.description.sponsorshipA.M. is supported by EPSRC Career Acceleration Fellowship EP/J001686/1, an Oxford Centre for Collaborative Applied Mathematics (OCCAM) Visiting Fellowship, and a Keble Small Research Grant. This publication is partly based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). A.M. would like to thank OCCAM for its hospitality. E.S. would like to thank OCCAM for funding. J.R.O. gratefully acknowledges financial support from a Leverhulme Emeritus Fellowship. We are grateful to the two anonymous referees for their comments which helped to much improve the manuscript.en
dc.publisherAmerican Physical Society (APS)en
dc.titleTransitions through critical temperatures in nematic liquid crystalsen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Bath, Bath, United Kingdomen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionSpace Research Institute, Russian Academy of Sciences, Moscow, Russian Federationen
kaust.grant.numberKUK-C1-013-04en

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