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We propose a simple theoretical model which explains a formation of dipolar 2D and 3D colloidal structures in nematic liquid crystal. Colloidal particles are treated as effective hard spheres interacting via their elastic dipole, quadrupole…

Soft Condensed Matter · Physics 2015-06-15 S. B. Chernyshuk , O. M. Tovkach , B. I. Lev

We introduce a new class of non-isothermal models describing the evolution of nematic liquid crystals and prove their consistency with the fundamental laws of classical Thermodynamics. The resulting system of equations captures all…

Analysis of PDEs · Mathematics 2015-05-27 E. Feireisl , M. Fre'mond , E. Rocca , G. Schimperna

The solid nematic equivalent of the Fredericks transition is found to depend on a critical field rather than a critical voltage as in the classical case. This arises because director anchoring is principally to the solid rubbery matrix of…

Soft Condensed Matter · Physics 2009-10-31 E. M. Terentjev , M. Warner , R. B. Meyer , J. Yamamoto

Colloidal particles in a liquid crystal (LC) behave very differently from their counterparts in isotropic fluids. Elastic nature of the orientational order and surface anchoring of the director cause long-range anisotropic interactions and…

Soft Condensed Matter · Physics 2015-07-22 Oleg D. Lavrentovich

Partially wetting nematic liquid crystal (NLC) films on substrates are unstable to dewetting-type instabilities due to destablizing solid/NLC interaction forces. These instabilities are modified by the nematic nature of the films, which…

Soft Condensed Matter · Physics 2021-01-05 M. Lam , L. Kondic , L. Cummings

In culture migrating and interacting amoeboid cells can form nematic liquid crystal phases. A polar nematic liquid crystal is formed if the interaction has a polar symmetry. One type of white blood cells (granulocytes) form clusters where…

Biological Physics · Physics 2007-05-23 Ralf Kemkemer , Dieter Kling , Dieter Kaufmann , Hans Gruler

A singular potential method in the Q tensor order parameter representation of a nematic liquid crystal is used to study the equilibrium configuration of a disclination dipole. Unlike the well studied isotropic limit (the so called one…

Soft Condensed Matter · Physics 2025-03-28 Lucas Myers , Carter Swift , Jonas Ronning , Luiza Angheluta , Jorge Vinals

Systems involving nematic liquid crystals subjected to magnetic fields or electric fields are modeled using the Oseen-Frank macroscopic continuum theory, and general criteria are developed to assess the local stability of equilibrium…

Soft Condensed Matter · Physics 2021-03-15 Eugene C. Gartland,

The dielectric dispersion in the uniaxial nematic liquid crystals affects the switching dynamics of the director, as the dielectric torque is determined by not only the present values of the electric field and director but also by their…

Soft Condensed Matter · Physics 2009-11-13 Mingxia Gu , Sergij V. Shiyanovskii , Oleg D. Lavrentovich

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

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

Dynamic simulations of the isotropic-nematic phase transformation of liquid crystal droplets under homeotropic anchoring are found to predict chiral symmetry-breaking dynamics. These observations occur when using material parameters for…

Soft Condensed Matter · Physics 2017-07-18 Fred Fu , Nasser Mohieddin Abukhdeir

Using dynamic light scattering, we measure for the first time the temperature-dependent elastic moduli and associated orientational viscosity coefficients of the nematic phase in a self-assembled lyotropic chromonic liquid crystal. The bend…

Soft Condensed Matter · Physics 2008-07-18 Yu. A. Nastishin , K. Neupane , A. R. Baldwin , O. D. Lavrentovich , S. Sprunt

The effect of superimposed ac and dc electric fields on the formation of electroconvection and flexoelectric patterns in nematic liquid crystals was studied. For selected ac frequencies an extended standard model of the electro-hydrodynamic…

Soft Condensed Matter · Physics 2015-06-19 Alexei Krekhov , Werner Decker , Werner Pesch , Nandor Eber , Peter Salamon , Balazs Fekete , Agnes Buka

We extend a lattice Boltzmann algorithm of liquid crystal hydrodynamics to include an applied electric field. The approach solves the equations of motion written in terms of a tensor order parameter. Back-flow effects and the hydrodynamics…

Soft Condensed Matter · Physics 2007-05-23 Colin Denniston , Geza Toth , Julia M. Yeomans

The self-organizing properties of nematic liquid crystals (LC) can be used to template carbon nanotubes (CNTs) on a macroscopic dimension. The nematic director field, coupled to the dispersed CNT long-axis, enables controlled director…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Rajratan Basu , Germano S. Iannacchione

Colloidal particles in liquid crystals tend to induce topological defects and distortions of the molecular alignment within the surrounding anisotropic host medium, which results in elasticity-mediated interactions not accessible to their…

Soft Condensed Matter · Physics 2021-12-30 Bohdan Senyuk , Richmond E. Adufu , Ivan I. Smalyukh

We present a Monte Carlo study of external surface anchoring in nematic cells with partially disordered solid substrates, as well as of intrinsic anchoring at free nematic interfaces. The simulations are based on the simple hexagonal…

Soft Condensed Matter · Physics 2009-11-07 N. V. Priezjev , G. Skacej , R. A. Pelcovits , S. Zumer

A body immersed in a nematic liquid crystal disturbs the fluid's preferred molecular configuration and increases its stored elastic energy. In an active nematic, the fluid components also generate a stress in the bulk fluid. By introducing…

Soft Condensed Matter · Physics 2025-06-17 Thomas G. J. Chandler , Saverio E. Spagnolie

In this article, we construct and analyze models of anisotropic crosslinked polymers employing tools from the theory of liquid crystal elastomers. The anisotropy of these systems stems from the presence of rigid-rod molecular units in the…

Analysis of PDEs · Mathematics 2013-03-26 M. Carme Calderer , Carlos A. Garavito , Chong Luo
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