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Simple model for biaxial smectic-A liquid-crystal phases

Simple model for biaxial smectic-A liquid-crystal phases
Simple model for biaxial smectic-A liquid-crystal phases
We have generalized the McMillan theory of liquid crystalline smectic order in uniaxial particle fluids to biaxial particles. Upon varying the control parameter, a uniaxial nematic phase may: (i) order biaxially first, then smectically; (ii) order smectically first, then biaxially; and (iii) simultaneously order biaxially and smectically. We investigate, in the limit of complete orientational order of the molecular major axes, which of these scenarios are realized for a simple model of particles with the symmetry of rectangular parallelepipeds. We also present a generic variational derivation of the theory based on the identification of the dominant order parameters for the most ordered phase.
molecular-field-theory, nematic liquid, monte-carlo, x-ray, transition, particles, mixtures, simulation, symmetry, system
1539-3755
061708-[14pp]
Teixeira, P.I.C.
4cb98b1c-13b2-42d8-887d-6468aae62188
Osipov, M.A.
83cebceb-9f4a-48c1-8620-d8809d94bb0b
Luckhurst, G.R.
7807d1c6-54a1-414f-9abe-22de4d9c30f7
Teixeira, P.I.C.
4cb98b1c-13b2-42d8-887d-6468aae62188
Osipov, M.A.
83cebceb-9f4a-48c1-8620-d8809d94bb0b
Luckhurst, G.R.
7807d1c6-54a1-414f-9abe-22de4d9c30f7

Teixeira, P.I.C., Osipov, M.A. and Luckhurst, G.R. (2006) Simple model for biaxial smectic-A liquid-crystal phases. Physical Review E, 73 (6), 061708-[14pp]. (doi:10.1103/PhysRevE.73.061708).

Record type: Article

Abstract

We have generalized the McMillan theory of liquid crystalline smectic order in uniaxial particle fluids to biaxial particles. Upon varying the control parameter, a uniaxial nematic phase may: (i) order biaxially first, then smectically; (ii) order smectically first, then biaxially; and (iii) simultaneously order biaxially and smectically. We investigate, in the limit of complete orientational order of the molecular major axes, which of these scenarios are realized for a simple model of particles with the symmetry of rectangular parallelepipeds. We also present a generic variational derivation of the theory based on the identification of the dominant order parameters for the most ordered phase.

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More information

Published date: 16 June 2006
Keywords: molecular-field-theory, nematic liquid, monte-carlo, x-ray, transition, particles, mixtures, simulation, symmetry, system

Identifiers

Local EPrints ID: 44555
URI: http://eprints.soton.ac.uk/id/eprint/44555
ISSN: 1539-3755
PURE UUID: 77638cff-3a26-43c5-938d-b8fb3c10a256

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Date deposited: 06 Mar 2007
Last modified: 13 Mar 2019 21:07

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