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A statistical theory of cholesteric liquid crystals composed of short rigid biaxial molecules is presented. It is derived in the thermodynamic limit at a small density and a small twist. The uniaxial (biaxial) cholesteric phase is regarded…

Soft Condensed Matter · Physics 2009-10-21 A. Kapanowski

We describe the occurence and properties of liquid crystal phases showing two dimensional splay and bend distortions which are stabilised by flexoelectric interactions. These phases are characterised by regions of locally double splayed…

Soft Condensed Matter · Physics 2009-11-13 G P Alexander , J M Yeomans

The blue phases are observed in highly chiral liquid crystalline compositions that nascently organize into a three-dimensional, crystalline nanostructure. The periodicity of the unit cell lattice parameters is on the order of the wavelength…

Soft Condensed Matter · Physics 2021-09-01 Kyle R. Schlafmann , Timothy J. White

We explore the rheology and flow-induced morphological changes of cholesteric liquid crystal patterns subject to Poiseuille flow within a slab geometry, and under different anchoring conditions at the wall. Our focus is particularly on the…

Soft Condensed Matter · Physics 2017-02-15 Oliver Wiese , Davide Marenduzzo , Oliver Henrich

We show theoretically that flexoelectricity stabilizes blue phases in chiral liquid crystals. Induced internal polarization reduces the elastic energy cost of splay and bend deformations surrounding singular lines in the director field. The…

Soft Condensed Matter · Physics 2011-01-31 F. Castles , S. M. Morris , E. M. Terentjev , H. J. Coles

Computer simulation study of phase transitional behaviour of cholesterol molecules embedded with terminal dipole is reported. In this work, coarse-grained modeling of cholesteric molecules is done to study the influence of the coupled…

Soft Condensed Matter · Physics 2018-10-01 Tanay Paul Jayashree Saha

We demonstrate that a first order isotropic-to-nematic phase transition in liquid crystals can be succesfully modeled within the generalized Landau-de Gennes theory by selecting an appropriate combination of elastic constants. The numerical…

Soft Condensed Matter · Physics 2019-02-19 Dmitry Golovaty , Young-Ki Kim , Oleg D. Lavrentovich , Michael Novack , Peter Sternberg

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2016-08-16 Ana Fariñas-Sanchez , Ricardo Paredes , Bertrand Berche

The dynamics of a quasi two-dimensional isotropic droplet in a cholesteric liquid crystal medium under symmetric shear flow is studied by lattice Boltzmann simulations. We consider a geometry in which the flow direction is along the axis of…

Soft Condensed Matter · Physics 2018-07-13 Federico Fadda , Giuseppe Gonnella , Antonio Lamura , Enzo Orlandini , Adriano Tiribocchi

Liquid crystals have attracted enormous interest because of the variety of their phases and richness of their application. The interplay of general physical symmetries and specific molecular features generates a myriad of different…

Statistical Mechanics · Physics 2011-09-06 Marco G. Mazza , Martin Schoen

Handedness of the director twist in cholesteric liquid crystals is commonly assumed to be the same throughout the medium, determined solely by the chirality of constituent molecules or chiral additives, albeit distortions of the…

Soft Condensed Matter · Physics 2017-04-26 P. J. Ackerman , I. I. Smalyukh

This study investigates the influence of chirality, viscous effects, and confinement geometry on the flow dynamics and defect structures of cholesteric liquid crystals (CLCs) using numerical simulations. As chiral strength increases,…

Soft Condensed Matter · Physics 2025-09-05 Isreal Morawo , Dana Grecov

Molecular chirality leads to a wonderful variety of equilibrium structures, from the simple cholesteric phase to the twist-grain-boundary phases, and it is responsible for interesting and technologically important materials like…

Soft Condensed Matter · Physics 2007-05-23 T. C. Lubensky , A. B. Harris , Randall D. Kamien , Gu Yan

Cholesteric Liquid Crystals (CLCs), subject to externally applied magnetic fields and confined between two parallel planar surfaces with strong homeotropic anchoring conditions, are found to undergo transitions to different types of…

Soft Condensed Matter · Physics 2019-11-28 G. De Matteis , L. Martina , C. Naya , V. Turco

We study the phase diagram of director structures in cholesteric liquid crystals of negative dielectric anisotropy in homeotropic cells of thickness d which is smaller than the cholesteric pitch p. The basic control parameters are the…

We present a novel, self-consistent and robust theoretical model to investigate elastic interactions between topological defects in liquid crystal shells. Accounting for the non-concentric nature of the shell in a simple manner, we are able…

Soft Condensed Matter · Physics 2016-12-14 Alexandre Darmon , Olivier Dauchot , Teresa Lopez-Leon , Michael Benzaquen

Blue phases are networks of disclination lines, which occur in cholesteric liquid crystals near the transition to the isotropic phase. They have recently been used for the new generation of fast switching liquid crystal displays. Here we…

Soft Condensed Matter · Physics 2011-03-31 A. Tiribocchi , G. Gonnella , D. Marenduzzo , E. Orlandini

In liquid crystals, if flexoelectric couplings between polar order and director gradients are strong enough, the uniform nematic phase can become unstable to formation of a modulated polar phase. Previous theories have predicted two types…

Soft Condensed Matter · Physics 2018-06-21 Shaikh M. Shamid , David W. Allender , Jonathan V. Selinger

Chirality is a recurrent theme in the study of biological systems, in which active processes are driven by the internal conversion of chemical energy into work. Bacterial flagella, acto-myosin filaments and microtubule bundles are active…

Soft Condensed Matter · Physics 2020-05-01 Livio Nicola Carenza , Giuseppe Gonnella , Davide Marenduzzo , Giuseppe Negro

A new theoretical approach has been developed to describe the elastic properties of cubic blue phases of cholesteric liquid crystals (LCs). Blue phases are three-dimensional periodic chiral liquids with local anisotropy of the average…

Soft Condensed Matter · Physics 2025-12-02 V. A. Chizhikov , V. E. Dmitrienko