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The discovery of fluid states of matter with spontaneous bulk polar order is appreciated as a major discovery in the fields of soft matter and liquid crystals. Typically, this manifests as polar order superimposed atop conventional phase…

Soft Condensed Matter · Physics 2024-11-22 Jordan Hobbs , Calum J. Gibb , Damian Pociecha , Jadwiga Szydłowska , Ewa Górecka , Richard. J. Mandle

We propose a continuum tensorial model for chiral smectic C (SmC$^*$) liquid crystals using a tensor-valued order parameter $\mathbf{Q}$ to describe orientational order and a real-valued order parameter $\delta\rho$ to capture layer…

Soft Condensed Matter · Physics 2025-09-09 Jingmin Xia , Jinbing Wu , Yucen Han

General microscopic mechanism of ferroelectric ordering in chiral smectic C* liquid crystals is considered. It is shown that if the mesogenic molecules have a sufficiently low symmetry, the spontaneous polarization is proportional to one of…

Soft Condensed Matter · Physics 2009-11-13 M. A. Osipov , M. V. Gorkunov

We study smectic-liquid-crystal order in a cell with a heterogeneous substrate imposing surface random positional and orientational pinnings. Proposing a minimal random elastic model, we demonstrate that, for a thick cell, the smectic state…

Soft Condensed Matter · Physics 2015-03-20 Quan Zhang , Leo Radzihovsky

A flux liquid can condense into a smectic crystal in a pure layered superconductors with the magnetic field oriented nearly parallel to the layers. If the smectic order is commensurate with the layering, this crystal is {\sl stable} to…

Condensed Matter · Physics 2009-10-22 Leon Balents , David R. Nelson

The hydrodynamic theory of polar liquid crystals is widely used to describe biological active fluids as well as passive molecular materials. Depending on the `shear-alignment parameter', in passive or weakly active polar fluids under…

Soft Condensed Matter · Physics 2019-03-06 Tomer Markovich , Elsen Tjhung , Michael E. Cates

Under an electric field, chiral smectic liquid crystals transit usually to the unwound SmC* phase where the helical structure is completely unrolled. Sometimes the sample transits initially towards an intermediate polar state before the…

Soft Condensed Matter · Physics 2019-10-02 H. Dhaouadi , O. Riahi , R. Zgueb , F. Trabelsi , T. Othman

The smectic C (smC) phase represents a unique class of liquid crystal phases characterised by the layered arrangement of molecules with tilted orientations with respect to layer normals. Building upon the real-valued tensorial smectic A…

Soft Condensed Matter · Physics 2024-08-09 Jingmin Xia , Yucen Han

A material showing a sequence of three ferroelectric liquid crystalline phases below the paraelectric nematic phase has been synthesized and studied. The polar order of molecules appearing due to the dipole-dipole interactions in the NF…

Soft Condensed Matter · Physics 2024-10-16 Grant J. Strachan , Ewa Górecka , Jadwiga Szydłowska , Anna Makal , Damian Pociecha

We show that development of polar order may spontaneously destroy the lamellar structure of a liquid crystal. This results in an unusual sequence of phases with the ferroelectric nematic phase appearing below a non-polar smectic phase. The…

We formulate a simple Landau type model describing macroscopic behaviour recently discovered new smectic phases composed of achiral bent-shaped molecules. Films of such smectics exhibit three types of ordering related to dipole…

Soft Condensed Matter · Physics 2007-05-23 E. I. Kats , J. Lajzerowicz

So-called polar liquid crystals possess spontaneous long-range mutual orientation of their electric dipole moments, conferring bulk polarity to fluid phases of matter. The combination of polarity and fluidity leads to complex phase…

Soft Condensed Matter · Physics 2025-08-22 Jordan Hobbs , Calum J. Gibb , Richard J. Mandle

We present a theoretical model which describes the polarization modulated and layer undulated structure of the B7 phase and gives the phase transition from the synclinic ferroelectric B2 phase to the B7 phase as observed experimentally. The…

Computational Physics · Physics 2009-11-11 Natasa Vaupotic , Martin Copic

Spontaneous symmetry breaking and emergent polar order are each of fundamental importance to a range of scientific disciplines, as well as generating rich phase behaviour in liquid crystals (LCs). Here, we show the union of these phenomena…

Soft Condensed Matter · Physics 2024-08-06 Calum Gibb , Jordan Hobbs , Diana Nikolova , Tom Raistrick , Helen Gleeson , Richard Mandle

The phase behavior of the system of parallel rigid triblock copolymers is examined using the second-virial density functional theory. The triblock particle consists of two identical infinitely thin hard rods of finite lengths on the…

Soft Condensed Matter · Physics 2007-10-15 Szabolcs Varga , Seth Fraden

We explore the phase behavior and structure of orthogonal smectic liquid crystals consisting of bent-core molecules (BCMs) by means of Monte Carlo molecular simulations. A simple athermal molecular model is introduced that describes the…

Soft Condensed Matter · Physics 2016-07-26 Stavros D. Peroukidis , Alexandros G. Vanakaras , Demetri J. Photinos

We mathematically model Smectic-A (SmA) phases with a modified Landau-de Gennes (mLdG) model. The orientational order of the SmA phase is described by a tensor-order parameter $\mathbf{Q}$, and the positional order is described by a real…

Soft Condensed Matter · Physics 2025-09-22 Baoming Shi , Yucen Han , Chengdi Ma , Apala Majumdar , Lei Zhang

Various possibilities of polar self-organisation in low molar mass nematic, smectic and columnar liquid crystals are discussed with particular focus on the underlying molecular symmetries and interactions. Distinction is made between vector…

Materials Science · Physics 2013-09-10 A. G. Vanakaras , D. J. Photinos

Composed of microscopic layers that stack along one direction while maintaining fluid-like positional disorder within layers, smectics are excellent systems for exploring topology, defects and geometric memory in complex confining…

Soft Condensed Matter · Physics 2022-08-24 Jack Paget , Una Alberti , Marco G. Mazza , Andrew J. Archer , Tyler N. Shendruk

Chiral liquid crystals often exhibit periodic modulations in the molecular director; in particular, thin films of the smectic-C* phase show a chiral striped texture. Here, we investigate whether similar chiral modulations can occur in the…

Soft Condensed Matter · Physics 2009-10-31 J. V. Selinger , J. Xu , R. L. B. Selinger , B. R. Ratna , R. Shashidhar
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