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We review and compare recent work on the properties of fluctuating interfaces between nematic and isotropic liquid-crystalline phases. Molecular dynamics and Monte Carlo simulations have been carried out for systems of ellipsoids and hard…

Soft Condensed Matter · Physics 2013-03-19 Friederike Schmid , Guido Germano , Stefan Wolfsheimer , Tanja Schilling

Free interfaces of liquid crystals tend to minimise both capillarity and anchoring forces. Here we study nematic films in planar and radial geometries with antagonistic anchoring boundary conditions and one deformable interface. Assuming a…

Soft Condensed Matter · Physics 2014-06-17 O V Manyuhina

A theoretical study is presented of surface waves at a monomolecular surfactant film between an isotropic liquid and a nematic liquid crystal for the case when the surfactant film is in the isotropic two-dimensional fluid phase and induces…

Soft Condensed Matter · Physics 2008-04-15 S. V. Lishchuk

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

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

Substrates which are chemically or topographically patterned induce a variety of liquid crystal textures. The response of the liquid crystal to competing surface orientations, typical of patterned substrates, is determined by the anisotropy…

Soft Condensed Matter · Physics 2016-12-21 Nuno M. Silvestre , Jose M. Romero-Enrique , Margarida M. Telo da Gama

We present a study of the isotropic-nematic interface in a system of hard spherocylinders. First we compare results from Monte Carlo simulations and Onsager density functional theory for the interfacial profiles of the orientational order…

Soft Condensed Matter · Physics 2009-11-11 S. Wolfsheimer , C. Tanase , K. Shundyak , R. van Roij , T. Schilling

The isotropic-to-nematic transition in liquid crystals is studied in d=3 spatial dimensions. A simulation method is proposed to measure the angle dependent interfacial tension g(theta), with theta the anchoring angle of the nematic phase at…

Soft Condensed Matter · Physics 2007-06-19 R. L. C. Vink

Nematic liquid crystals exhibit both crystal-like and fluid-like features. In particular, the propagation of an acoustic wave shows an unexpected occurrence of some of the solid-like features at the hydrodynamic level, namely, the…

Soft Condensed Matter · Physics 2017-01-04 Stefano S. Turzi

In this paper, we consider the isotropic-nematic phase transition with anisotropic elasticity governed by the Landau-de Gennes dynamics of liquid crystals. For $-\frac{3}{2}< L<0,$ we rigorously justify the limit from the Landau-de Gennes…

Analysis of PDEs · Mathematics 2025-08-27 Huan Dong , Siqi Ren , Wei Wang

We present large-scale molecular dynamics simulations of a nematic-isotropic interface in a system of repulsive ellipsoidal molecules, focusing in particular on the capillary wave fluctuations of the interfacial position. The interface…

Statistical Mechanics · Physics 2009-11-07 N. Akino , F. Schmid , M. P. Allen

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

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

In this paper we present a generalization of Berreman's model for the elastic contribution to the surface free-energy density of a nematic liquid crystal in presence of a sawtooth substrate which favours homeotropic anchoring, as a function…

Soft Condensed Matter · Physics 2013-05-30 O. A. Rojas-Gómez , J. M. Romero-Enrique

The theory of elastic interaction of micron size axially symmetric colloidal particles immersed into confined nematic liquid crystal has been proposed. General formulas are obtained for the self energy of one colloidal particle and…

Soft Condensed Matter · Physics 2015-05-14 S. B. Chernyshuk , B. I. Lev

Motivated by recent experimental observations [U. Delabre et al, Langmuir 24, 3998, 2008] we reconsider an instability of ultrathin nematic films, spread on liquid substrates. Within a continuum elastic theory of liquid crystals, in the…

Soft Condensed Matter · Physics 2011-02-18 O. V. Manyuhina , A. -M. Cazabat , M. Ben Amar

Capillary microflows of liquid crystal phases are central to material, biological and bio-inspired systems. Despite their fundamental and applied significance, a detailed understanding of the stationary behaviour of nematic liquid crystals…

Soft Condensed Matter · Physics 2021-07-21 Paul Steffen , Eric Stellamanns , Anupam Sengupta

An elastic membrane with embedded nematic molecules is considered as a model of anisotropic fluid membrane with internal ordering. By considering the geometric coupling between director field and membrane curvature, the nematic texture is…

Soft Condensed Matter · Physics 2019-07-24 J. A. Santiago , G. Chacón-Acosta , F. Monroy

Understanding the flow of liquid crystals in microfluidic environments plays an important role in many fields, including device design and microbiology. We perform hybrid lattice-Boltzmann simulations of a nematic liquid crystal flowing…

Soft Condensed Matter · Physics 2015-06-25 V. M. O. Batista , M. L. Blow , M. M. Telo da Gama

Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known…

Soft Condensed Matter · Physics 2020-08-05 Cody D. Schimming , Jorge Viñals
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