Landau-de Gennes theory of biaxial nematics reexamined. Allender, D. & Longa, L. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2008.
Landau-de Gennes theory of biaxial nematics reexamined [link]Paper  doi  abstract   bibtex   
Recent experiments report that the long-looked-for thermotropic biaxial nematic phase has been finally detected in some thermotropic liquid crystalline systems. Inspired by these experimental observations, we concentrate on some elementary theoretical issues concerned with the classical sixth-order Landau-de Gennes free energy expansion in terms of the symmetric and traceless tensor order parameter Qαβ. In particular, we fully explore the stability of the biaxial nematic phase giving analytical solutions for all distinct classes of the phase diagrams that theory allows. This includes diagrams with triple, critical, and tricritical points and with multiple (reentrant) biaxial and uniaxial phase transitions. A brief comparison with predictions of existing molecular theories is also given. © 2008 The American Physical Society.
@ARTICLE{Allender2008,
author={Allender, D. and Longa, L.},
title={Landau-de Gennes theory of biaxial nematics reexamined},
journal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},
year={2008},
volume={78},
number={1},
doi={10.1103/PhysRevE.78.011704},
art_number={011704},
url={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-48349083400&doi=10.1103%2fPhysRevE.78.011704&partnerID=40&md5=3cd2a07bd46717dd6117b282a7b2d4b2},
abstract={Recent experiments report that the long-looked-for thermotropic biaxial nematic phase has been finally detected in some thermotropic liquid crystalline systems. Inspired by these experimental observations, we concentrate on some elementary theoretical issues concerned with the classical sixth-order Landau-de Gennes free energy expansion in terms of the symmetric and traceless tensor order parameter Qαβ. In particular, we fully explore the stability of the biaxial nematic phase giving analytical solutions for all distinct classes of the phase diagrams that theory allows. This includes diagrams with triple, critical, and tricritical points and with multiple (reentrant) biaxial and uniaxial phase transitions. A brief comparison with predictions of existing molecular theories is also given. © 2008 The American Physical Society.},
keywords={Graphic methods;  Phase diagrams;  Phase stability;  Phase transitions;  System stability, Analytical solutions;  Biaxial nematic phase;  Biaxial nematics;  Experimental observations;  Landau-de Gennes free energy;  Landau-de Gennes theory;  Liquid crystalline systems;  Tensor order parameter;  Tri-critical point, Liquid phase epitaxy},
correspondence_address1={Allender, D.; Department of Physics, Liquid Crystal Institute, Kent State University, P. O. Box 5190, Kent, OH 44242-0001, United States; email: allender@physics.kent.edu},
document_type={Article},
source={Scopus},
}

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