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We analyze the interplay between wetting and anchoring of nematic liquid crystals on disordering, e.g., rough substrates in the framework of the Landau-de Gennes theory, in situations of competing homeotropic and planar easy axes on the…

Soft Condensed Matter · Physics 2010-02-23 Friederike Schmid , David L. Cheung

We investigate theoretically the wetting properties of cholesteric liquid crystals at a planar substrate. If the properties of substrate and of the interface are such that the cholesteric layers are not distorted the wetting properties are…

The bent-core liquid crystals (LCs) are highly regarded as the next-generation materials for electro-optic devices. The nematic (N) phase of these LCs possesses highly ordered smectic-like cybotactic clusters which are promising in terms of…

Soft Condensed Matter · Physics 2019-02-06 Sourav Patranabish , Yiwei Wang , Aloka Sinha , Apala Majumdar

A nematic liquid crystal in contact with a grating surface possessing an alternating stripe pattern of locally homeotropic and planar anchoring is studied within the Frank--Oseen model. The combination of both chemical and geometrical…

Soft Condensed Matter · Physics 2009-11-11 L. Harnau , S. Kondrat , A. Poniewierski

Uniaxial nematic liquid crystals whose molecular orientation is subjected to a tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the topology of the surface and the orientational degree of…

Soft Condensed Matter · Physics 2019-12-19 Michael Nestler , Ingo Nitschke , Hartmut Löwen , Axel Voigt

Nematic liquid crystals at rough and fluctuating interfaces are analyzed within the Frank elastic theory and the Landau-de Gennes theory. We study specifically interfaces that locally favor planar anchoring. In the first part we reconsider…

Soft Condensed Matter · Physics 2009-11-11 Jens Elgeti , Friederike Schmid

The surface alignment of lyotropic chromonic liquid crystals (LCLCs) can be not only planar (tangential) but also homeotropic, with self-assembled aggregates perpendicular to the substrate, as demonstrated by mapping optical retardation and…

Monte Carlo simulation, experiment and continuum theory are used to examine the anchoring exhibited by a nematic liquid crystal at a patterned substrate comprising a periodic array of rectangles that, respectively, promote vertical and…

Soft Condensed Matter · Physics 2013-08-09 Candy Anquetil-Deck , Douglas J. Cleaver , Jonathan P. Bramble , Timothy J. Atherton

Mono-layers of stearic and behenic acids deposited with the Langmuir-Blodgett technique, were used as aligning films in nematic liquid crystal cells. During the filling process the liquid crystal adopts a deformed quasi-planar alignment…

Soft Condensed Matter · Physics 2008-02-03 V. S. U. Fazio , L. Komitov , S. T. Lagerwall

Orientational and positional ordering properties of liquid crystal monolayers are examined by means of Fundamental-Measure Density Functional Theory. Particles forming the monolayer are modeled as hard parallelepipeds of square section of…

Soft Condensed Matter · Physics 2015-06-19 Yuri Martinez-Raton , Szabolcs Varga y Enrique Velasco

We present a general theory of liquid crystals under inhomogeneous electric field in a Ginzburg-Landau scheme. The molecular orientation can be deformed by electric field when the dielectric tensor is orientation-dependent. We then…

Soft Condensed Matter · Physics 2009-11-11 Lionel Foret , Akira Onuki

Nematic liquid crystals exhibit configurations in which the underlying ordering changes markedly on macroscopic length scales. Such structures include topological defects in the nematic phase and tactoids within nematic-isotropic…

Soft Condensed Matter · Physics 2020-05-01 Cody D. Schimming , Jorge Viñals

By Monte Carlo simulations of a soft ellipsoid model for liquid crystals, we study whether a layer of grafted liquid-crystalline chain molecules can induce tilt in a nematic fluid. The chains are fairly short (four monomers) and made of the…

Materials Science · Physics 2009-11-07 Harald Lange , Friederike Schmid

Many physical systems involve two types of orientational order, which are coupled together. For example, ferroelectric nematic liquid crystals have coupled polar and nematic order, and tilted hexatic phases have coupled polar and hexatic…

Soft Condensed Matter · Physics 2026-03-16 Lincoln Paik , Jonathan V. Selinger

In this work, we study the nematic-isotropic phase transition based on the dynamics of the Landau--De Gennes theory of liquid crystals. At the critical temperature, the Landau--De Gennes bulk potential favors the isotropic phase and nematic…

Analysis of PDEs · Mathematics 2021-07-28 Tim Laux , Yuning Liu

We apply a recently developed technique to determine adapted coordinates for the sixth degree Landau-deGennes potential, in which the potential is specially simple, to analyze the possibility of a direct transition between the fully…

Mathematical Physics · Physics 2017-11-20 Giuseppe Gaeta

The anchoring of nematic liquid crystals on surfaces with grafted liquid crystalline chain molecules is studied by computer simulations and within a mean field approach. The computer simulations show that a swollen layer of collectively…

Materials Science · Physics 2009-11-07 Harald Lange , Friederike Schmid

The optical polarimetry technique is used to explore molecular ordering of nematic liquid crystals 5FPFFPP3 embedded in parallel cylindrical channels of alumina membranes with pore walls covered by a SE-1211 polymer film enhancing normal…

Soft Condensed Matter · Physics 2018-06-19 A. V. Kityk , P. Huber , K. Sentker , A. Andrushchak , P. Kula , W. Piecek , R. Wielgosz , O. Kityk , P. Goering , M. Lelonek

We study the weak anchoring condition for nematic liquid crystals in the context of the Landau-De Gennes model. We restrict our attention to two dimensional samples and to nematic director fields lying in the plane, for which the Landau-De…

Analysis of PDEs · Mathematics 2014-08-18 Stan Alama , Lia Bronsard , Bernardo Galvao-Sousa

Within the macroscopic Landau-de Gennes approach, we examine the Gaussian normal mode fluctuations of semi-infinite nematic liquid crystals in a regime of critical wetting. It is argued that surface free-energy potentials that strongly…

Soft Condensed Matter · Physics 2009-10-31 N. B. Ivanov
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