The Landau-de Gennes theory of nematic liquid crystals:
Uniaxiality versus Biaxiality

The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality

We study small energy solutions within the Landau-de Gennes theory for nematic liquid crystals, subject to Dirichlet boundary conditions. We consider two-dimensional and threedimensional domains separately and study the correspondence between Landau-de Gennes theory and Ginzburg-Landau theory for su...

Full description

Bibliographic Details
Main Author:	Majumdar, A
Format:	Journal article
Published:	2010

Similar Items

Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals
by: Henao, D, et al.
Published: (2011)

Equilibrium order parameters of nematic liquid crystals in the Landau-De Gennes theory
by: Majumdar, A
Published: (2009)

Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
by: Majumdar, A, et al.
Published: (2009)

Landau-de Gennes modelling of nematic liquid crystal colloids
by: Ravnik, M, et al.
Published: (2009)

Order Reconstruction for Nematics on Squares and Regular Polygons: A Landau-de Gennes Study
by: Canevari, G, et al.
Published: (2016)

The radial-hedgehog solution in Landau-de Gennes' theory
by: Majumdar, A
Published: (2010)

Order parameters in the Landau-de Gennes theory - the static and dynamic scenarios
by: Majumdar, A
Published: (2010)

Uniaxial versus biaxial pathways in one-dimensional cholesteric liquid crystals
by: Yucen Han, et al.
Published: (2022-08-01)

Fast, Scalable, and Interactive Software for Landau-de Gennes Numerical Modeling of Nematic Topological Defects
by: Daniel M. Sussman, et al.
Published: (2019-12-01)

Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation
by: Kitavtsev, G, et al.
Published: (2016)

Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
by: Ignat, R, et al.
Published: (2020)

Elasticity and dynamics of uniaxial nematic liquid crystal with defects: Nemator model
by: Natalie Aryasova, et al.
Published: (2020-12-01)

Direct Observation of Biaxial Nematic Order in Auxetic Liquid Crystal Elastomers
by: Zhenming Wang, et al.
Published: (2022-12-01)

Scalings and limits of Landau-de Gennes models for liquid crystals: a comment on some recent analytical papers
by: Eugene C. Gartland, Jr.
Published: (2018-06-01)

Biaxial defect cores in nematic equilibria an asymptotic result
by: Majumdar, A, et al.
Published: (2012)

Refined approximation for minimizers of a Landau-de Gennes energy functional
by: Nguyen, L, et al.
Published: (2012)

Orientable and Non-Orientable Line Field Models for Uniaxial Nematic Liquid Crystals
by: Ball, J, et al.
Published: (2008)

Nematic Liquid Crystals: From Maier-Saupe to a Continuum Theory
by: Ball, J, et al.
Published: (2010)

Nematic liquid crystals : from Maier-Saupe to a continuum theory
by: Ball, J, et al.
Published: (2009)

Interactions of accessible solitons with interfaces in anisotropic media: the case of uniaxial nematic liquid crystals
by: A Alberucci, et al.
Published: (2013-01-01)

Transitions through critical temperatures in nematic liquid crystals.
by: Majumdar, A, et al.
Published: (2013)

Transitions through Critical Temperatures in Nematic Liquid Crystals
by: Majumdar, A, et al.
Published: (2012)

Angular Quasi-Phase-Matching in Periodically Poled Uniaxial and Biaxial Crystals
by: Yannick Petit, et al.
Published: (2022-07-01)

Nematic Liquid Crystals
by: Małgorzata Jasiurkowska-Delaporte, et al.
Published: (2021-04-01)

Biaxial versus uniaxial strain tuning of single-layer MoS2
by: Felix Carrascoso, et al.
Published: (2022-03-01)

Incompressible Biaxial Nematic Elastomers for Artificial Muscles
by: , Yusril Yusuf
Published: (2010)

Meanfield theory of the nematic liquid crystal free surface
by: Habtamu Zewdie
Published: (1989-01-01)

Investigation of uniaxial and biaxial loadings of softening materials in endochronic theory of inelasticity
by: Yulij I Kadashevich, et al.
Published: (2012-03-01)

Investigation of uniaxial and biaxial loadings of softening materials in endochronic theory of inelasticity
by: S. P. Pomytkin, et al.
Published: (2012-03-01)

Highly birefringent nematic and chiral nematic liquid crystals
by: Woon, K.L., et al.
Published: (2005)

Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model
by: Canevari, G
Published: (2016)

Field-induced Optically Isotropic State in Bent Core Nematic Liquid Crystals: Unambiguous Proof of Field-induced Optical Biaxiality
by: Hegde, Gurumurthy, et al.
Published: (2013)

Flexoelectricity in nematic liquid crystals
by: Kischka, C
Published: (2011)

Temperance in nematic liquid crystals
by: G. Capriz
Published: (2000-01-01)

Experimental Conditions for the Stabilization of the Lyotropic Biaxial Nematic Mesophase
by: Erol Akpinar, et al.
Published: (2019-03-01)

Efficient methodology with potential uses of Fresnel diffractometry for real-time study of uniaxial nematic liquid crystal phase transitions
by: Narges Madadi, et al.
Published: (2023-02-01)

On the Eringen model for nematic liquid crystals
by: Chechkin, Gregory A., et al.
Published: (2021-02-01)

Capillary Flows of Nematic Liquid Crystal
by: Dina V. Shmeliova, et al.
Published: (2020-11-01)

Phase ordering in nematic liquid crystals.
by: Denniston, C, et al.
Published: (2001)

Rheology of distorted nematic liquid crystals
by: Marenduzzo, D, et al.
Published: (2003)