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We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we describe the combination rules for smectic point…

Soft Condensed Matter · Physics 2019-11-19 Thomas Machon , Hillel Aharoni , Yichen Hu , Randall D. Kamien

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…

We present detailed systematic studies of structural transformations in thin liquid crystal films with the smectic-C to hexatic phase transition. For the first time all possible structures reported in the literature are observed for one…

Soft Condensed Matter · Physics 2009-11-11 P. V. Dolganov , K. I. Belov , V. K. Dolganov , E. I. Demikhov , B. M. Bolotin , E. I. Kats

The known ground state of ultrathin smectic films confined to the surface of a sphere is described by four +1/2 defects assembled on a great circle and a director which follows geodesic lines. Using a simple perturbative approach we show…

Soft Condensed Matter · Physics 2016-01-12 O. V. Manyuhina , M. J. Bowick

We explore the smectic liquid crystal order in a cell with a "dirty" substrate imposing random pinnings. Within harmonic elasticity we find a subtle three-dimensional surface disorder-driven transition into a pinned smectic-glass,…

Soft Condensed Matter · Physics 2012-06-14 Quan Zhang , Leo Radzihovsky

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 phenomenological free energy model is proposed to describe the behavior of smectic liquid crystals, an intermediate phase that exhibits orientational order and layering at the molecular scale. Advantageous properties render the functional…

Soft Condensed Matter · Physics 2021-05-05 Jingmin Xia , Scott MacLachlan , Timothy J. Atherton , Patrick E. Farrell

Bubbles made of smectic liquid crystals (LC) can display buckling and wrinkling. These deformations are induced in the course of the relaxation of an elongated bubble towards a sphere. The bubbles are created through the collapse of a…

Fluid Dynamics · Physics 2020-08-05 Patricia Pfeiffer

We investigate experimentally and numerically the defect configurations emerging when a cholesteric liquid crystal is confined to a spherical shell. We uncover a rich scenario of defect configurations, some of them non-existent in nematic…

Soft Condensed Matter · Physics 2017-09-13 Alexandre Darmon , Michael Benzaquen , Simon Čopar , Olivier Dauchot , Teresa Lopez-Leon

Grain boundaries in extremely confined colloidal smectics possess a topological fine structure with coexisting nematic and tetratic symmetry of the director field. An alternative way to approach the problem of smectic topology is via the…

Soft Condensed Matter · Physics 2024-04-24 René Wittmann

Vortex crystals are geometric arrays of vortices found in various physics fields, owing their regular internal structure to mutual interactions within a spatially confined system. In optics, vortex crystals may form spontaneously within a…

We propose a general formalism to characterize orientational frustration of smectic liquid crystals in confinement by interpreting the emerging networks of grain boundaries as objects with a topological charge. In a formal idealization,…

We study the evolution from a liquid to a crystal phase in two-dimensional curved space. At early times, while crystal seeds grow preferentially in regions of low curvature, the lattice frustration produced in regions with high curvature is…

Soft Condensed Matter · Physics 2015-06-16 Nicolas A. Garcia , Richard A. Register , Daniel A. Vega , Leopoldo R. Gomez

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

Ionic liquid crystals (ILCs) are anisotropic mesogenic molecules which carry charges and therefore combine properties of liquid crystals, e.g., the formation of mesophases, and of ionic liquids, such as low melting temperatures and tiny…

Soft Condensed Matter · Physics 2017-10-31 Hendrik Bartsch , Markus Bier , Siegfried Dietrich

This review introduces the elasticity theory of two-dimensional crystals and nematic liquid crystals on curved surfaces, the energetics of topological defects (disclinations, dislocations and pleats) in these ordered phases, and the…

Soft Condensed Matter · Physics 2014-01-21 Vinzenz Koning , Vincenzo Vitelli

Liquid crystal is a typical kind of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over the last four decades, which is of great importance on both…

Numerical Analysis · Mathematics 2021-04-07 Wei Wang , Lei Zhang , Pingwen Zhang

Recent experiments on vesicles formed from block copolymers with liquid-crystalline side-chains reveal a rich variety of vesicle morphologies. The additional internal order ("structure") developed by these self-assembled block copolymer…

Soft Condensed Matter · Physics 2012-05-21 Xiangjun Xing , Homin Shin , Mark J. Bowick , Zhenwei Yao , Lin Jia , Min-Hui Li

Solid materials possess both long-range order and some degree of disorder are critical for understanding the nature of crystal and glassy state, but how to controllable introduce specific type of disorder into a crystalline material is a…

Materials Science · Physics 2023-06-19 Hongmei Qin , Jiahui Wang , Na Lin , Xiaoxu Sun , Yin Chen

Time crystals are unexpected states of matter that spontaneously break time translation symmetry either in a discrete or continuous manner. However, spatially-mesoscale space-time crystals that break both the space and time symmetries have…

Soft Condensed Matter · Physics 2025-07-24 Hanqing Zhao , Ivan I. Smalyukh