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We derive the full set of macroscopic equations necessary to describe the dynamics of systems with active polar order in a viscoelastic or elastic background. The active polar order is manifested by a second velocity, whose non-zero modulus…

Soft Condensed Matter · Physics 2016-10-21 H. Pleiner , D. Svensek , H. R. Brand

The order parameters for the phenomenological description of the smectic-{\it A} to smectic-{\it C} phase transition are formulated on the basis of molecular symmetry and structure. It is shown that, unless the long molecular axis is an…

Soft Condensed Matter · Physics 2016-08-31 P. K. Karahaliou , A. G. Vanakaras , D. J. Photinos

We have investigated the relationship between the morphology of helical particles and the features of the cholesteric (N$^\ast $) phase that they form. Using an Onsager-like theory, applied to systems of hard helices, we show that the…

Soft Condensed Matter · Physics 2014-08-04 Elisa Frezza , Alberta Ferrarini , Hima Bindu Kolli , Achille Giacometti , Giorgio Cinacchi

Using the density functional formalism we derive expression for the distortion free energy for systems with continuous broken symmetry and use it to derive expression for the elastic constants of smectic phases in which director is tilted…

Soft Condensed Matter · Physics 2009-11-07 Yashwant Singh , Jokhan Ram

We propose an approach to sensitively probe the chirality of molecules by measuring their coherent optical absorption spectra. It is shown that quantum dynamics of the cyclic three-level chiral molecules driven by appropriately-designed…

Quantum Physics · Physics 2015-05-28 W. Z. Jia , L. F. Wei

Evidence of a special chiral nematic phase is provided using numerical simulation and Onsager theory for systems of hard helical particles. This phase appears at the high density end of the nematic phase, when helices are well aligned, and…

In solid state physics, any symmetry breaking is known to be associated with emergence of an order parameter. However, the order parameter for molecular and crystal chirality, which is a consequence of parity and mirror symmetry breaking,…

Materials Science · Physics 2023-06-27 Jun-ichiro Kishine , Hiroaki Kusunose , Hiroshi M. Yamamoto

Experimentally it is possible to manipulate the director in a (chiral) smectic-$A$ elastomer using an electric field. This suggests that the director is not necessarily locked to the layer normal, as described in earlier papers that…

Soft Condensed Matter · Physics 2008-08-11 J. M. Adams , M. Warner , O. Stenull , T. C. Lubensky

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 consider a one-dimensional variational problem arising in connection with a model for cholesteric liquid crystals. The principal feature of our study is the assumption that the twist deformation of the nematic director incurs much higher…

Analysis of PDEs · Mathematics 2020-08-12 Dmitry Golovaty , Michael Novack , Peter Sternberg

Using tools and concepts from contact topology we show that non-vanishing twist implies conservation of the layer structure in cholesteric liquid crystals. This leads to a number of additional topological invariants for cholesteric…

Soft Condensed Matter · Physics 2018-06-04 Thomas Machon

A phase transition can drive the spontaneous emergence of chiral orders in crystals below a critical temperature. However, selecting either a right- or a left-handed phase with the aid of electromagnetic fields is challenging, particularly…

Materials Science · Physics 2025-03-11 Mauro Fava , Aldo H. Romero , Eric Bousquet

Peculiarities of the defect modes of cholesteric liquid crystals (CLCs) with an isotropic/anisotropic defect inside are investigated. The influence of the defect layer thickness and its anisotropy of refraction, the influence of the system…

Cholesteric liquid crystal elastomers have interesting and potentially very useful photonic properties. In an ideal monodomain configuration of these materials, one finds a Bragg-reflection of light in a narrow wavelength range and a…

Soft Condensed Matter · Physics 2009-11-10 P. Cicuta , A. R. Tajbakhsh , E. M. Terentjev

A range of monodomain nematic liquid crystal elastomers containing differing proportions of photo-isomerisable mesogenic moieties, which turn from a rod-like to a kinked shape upon ultraviolet (UV) irradiation, was studied. Depending on the…

Soft Condensed Matter · Physics 2007-05-23 P. M. Hogan , A. R. Tajbakhsh , E. M. Terentjev

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

Selective reflection of light by oblique helicoidal cholesteric (ChOH) can be tuned in a very broad spectral range by an applied electric field. In this work, we demonstrate that the peak wavelength of the selective reflection can be…

We present a continuum model for a nematic elastomer network formed in a chiral environment, for instance in the presence of a chiral solvent. When this environment is removed, the network can retain some memory of its chiral genesis. We…

Soft Condensed Matter · Physics 2009-10-31 Mao , Yong Warner , Mark

We simulate a colloidal particle (radius R) in a cholesteric liquid crystal (pitch p) with tangential order parameter alignment at the particle surface. The local defect structure evolves from a dipolar pair of surface defects (boojums) at…

Soft Condensed Matter · Physics 2011-01-10 J. S. Lintuvuori , K. Stratford , M. E. Cates , D. Marenduzzo

Using molecular simulations and classical density functional theory, we study the liquid-crystalline phase behaviour of a series of bent rod-like mesogens with a controlled degree of chirality introduced through a twist at the centre of the…

Soft Condensed Matter · Physics 2025-11-18 Anna Ashkinazi , Hemani Chhabra , Anouar El Moumane , Maxime M. C. Tortora , Jonathan P. K. Doye