Article (Scientific journals)
Order-disorder molecular model of the smectic-A-smectic-C phase transition in materials with conventional and anomalously weak layer contraction
Gorkunov, M. V.; Osipov, M. A.; LAGERWALL, Jan et al.
2007In Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 76 (5), p. 051706
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Keywords :
GAY-BERNE MODEL; LIQUID-CRYSTALS; FIELD THEORY; THICKNESS; TILT
Abstract :
[en] We develop a molecular-statistical theory of the smectic-A-smectic-C transition which is described as a transition of the order-disorder type. The theory is based on a general expansion of the effective interaction potential and employs a complete set of orientational order parameters. All the order parameters of the smectic-C phase including the tilt angle are calculated numerically as functions of temperature for a number of systems which correspond to different transition scenario. The effective interaction potential and the parameters of the transition are also calculated for specific molecular models based on electrostatic and induction interaction between molecular dipoles. The theory successfully reproduces the main properties of both conventional and so-called ``de Vries-type'' smectic liquid crystals, clarifies the origin of the anomalously weak layer contraction and describes the tricritical behavior at the smectic-A-smectic-C transition. The ``de Vries behavior,'' i.e., anomalously weak layer contraction is also obtained for a particular molecular model based on interaction between longitudinal molecular dipoles. A simple phenomenological model is presented enabling one to obtain explicit expressions for the layer spacing and the tilt angle which are used to fit the experimental data for a number of materials.
Disciplines :
Physics
Author, co-author :
Gorkunov, M. V.
Osipov, M. A.
LAGERWALL, Jan  ;  Universität Stuttgart
Giesselmann, F.
Language :
English
Title :
Order-disorder molecular model of the smectic-A-smectic-C phase transition in materials with conventional and anomalously weak layer contraction
Publication date :
2007
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1539-3755
eISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
76
Issue :
5
Pages :
051706
Peer reviewed :
Peer Reviewed verified by ORBi
Commentary :
Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland.   Russian Acad Sci, Inst Crystallog, Moscow 119333, Russia.   Univ Stuttgart, Inst Phys Chem, D-70569 Stuttgart, Germany. Gorkunov, MV, Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark,   Scotland.
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