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Invited Lecture. Order-parameter theories of phase diagrams for antiferroelectric smectic-A phases
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In this article, the symmetry-induced topologies of phase diagrams are studied for antiferroelectric smectic-A phases, and the tricritical points are found for a large class of orderparameter theories of nematic-smectic A (-A1, -Ad) and -A2 (NA) phase transitions.Abstract:
Using exact relations between Landau and molecular approaches, the symmetryinduced topologies of phase diagrams are studied for antiferroelectric smectic-A phases. In particular, the tricritical points are found for a large class of orderparameter theories of nematic-smectic A (-A1, -Ad) and -A2 (NA) phase transitions. These include generalizations to antiferroelectric smectic-A phases of McMillan and Meyer-Lubensky mean-field theories and the Ramakrishnan-Youssouff(RY) density-functional approach. The use of these different approaches allows study of influence of various couplings between nematic (orientational) and smectic (translational) degrees of freedom and polarization field, P1 (cos θ), on various NA and AA phase transitions. From the results, it is of interest that the coupling between orientational degrees of freedom (P4(cos θ) and density waves can destabilize the smectic-A phase at low temperatures-pointing to the existence of a nematic-smectic-A-reentrant-nematic phase transition. A ...read more
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Minimal coupling model of the biaxial nematic phase.
TL;DR: A minimal coupling model exhibiting isotropic, uniaxial, and biaXial nematic phases is analyzed in detail and its relation to existing models known in the literature is clarified.
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From the discovery of the partially bilayer smectic A phase to blue phases in polar liquid crystals
TL;DR: The significance of Gray's cyanobiphenyls in the discovery of the partially bilayer smectic A phase (SmAd) and in the formulation of mixtures exhibiting the blue phase is described in this paper.
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Luckhurst–Romano model of thermotropic biaxial nematic phase
Lech Longa,Grzegorz Pająk +1 more
TL;DR: In this paper, the authors show that the simplest Lebwohl-Lasher biaxial model, as introduced by Luckhurst and Romano, is consistent with the minimal coupling Landaude Gennes phenomenological approach.
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Cubic bond orientational order in the liquid crystalline blue phases
TL;DR: In this article, a thorough numerical analysis of a recently proposed cubic bond orientational model for Blue Phase III (Longa, L., and Trebin, H.-R., 1993, Phys. Rev. Lett., 71, 2757) is presented.
References
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The physics of liquid crystals
P. G. de Gennes,Richard Alben +1 more
TL;DR: In this paper, the authors define an order parameter statistical theories of the nematic order phenomonological description of the nematic-isotopic mixtures and describe the properties of these mixtures.
Journal ArticleDOI
New Liquid-Crystal Phase Diagram
TL;DR: The nematic phase occurs at both a higher and a lower temperature than the smectic phase as mentioned in this paper, and measurements of the bend elastic constant as a function of concentration are presented.
Journal ArticleDOI
Bicritical and tetracritical points in anisotropic antiferromagnetic systems
TL;DR: In this paper, a scaling description of the critical behavior of anisotropic antiferromagnets in both parallel and skew, uniform and staggered magnetic fields, in particular, the bicritical, spin-flop transition is discussed.