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We investigate theoretically and experimentally the optical beam propagation in the nematic liquid crystal with negative dielectric anisotropy, which is aligned homeotropically in a $80\mu m$-thickness planar cell in the presence of an…

Pattern Formation and Solitons · Physics 2015-03-09 Jing Wang , Zhenlei Ma , Junzhu Chen , Jinlong Liu , Zhuo Wang , Yiheng Li , Qi Guo , Wei Hu , Li Xuan

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

We derive a mathematical model of a nematic electrolyte based on a variational formulation of nematodynamics. Extending our previous work, we consider a general setup which incorporates dielectric anisotropy of the liquid-crystalline matrix…

Soft Condensed Matter · Physics 2016-07-20 O. M. Tovkach , M. Carme Calderer , Dmitry Golovaty , Oleg Lavrentovich , Noel J. Walkington

In uniaxial soft matter with a reorientational nonlinearity, such as nematic liquid crystals, a light beam in the extraordinary polarization walks off its wavevector due to birefringence, while it undergoes self-focusing via an increase in…

The director configuration of disclination lines in nematic liquid crystals in the presence of an external magnetic field is evaluated. Our method is a combination of a polynomial expansion for the director and of further analytical…

Soft Condensed Matter · Physics 2009-10-30 Henryk Arodz , Joachim Stelzer

We study experimentally the propagation dynamics and interaction of a pair of mutually incoherent nematicons: spatial optical solitons in nematic liquid crystals. In contrast to earlier studies, we consider a bias-free liquid-crystal cell…

Pattern Formation and Solitons · Physics 2015-05-14 Yana Izdebskaya , Vlad Shvedov , Anton Desyatnikov , Yuri Kivshar , Wieslaw Krolikowski , Gaetano Assanto

This article models experimentally observed three dimensional particle-like waves that develop in nematic liquid crystals, with negative dielectric and conductive anisotropy, when subject to an applied alternating electric field. The liquid…

Soft Condensed Matter · Physics 2021-11-15 Maria-Carme Calderer , Ashley Earls

We study experimentally the propagation dynamics and interaction of spatial optical solitons in a bias-free cell filled with nematic liquid crystals. We reveal and measure long-range effects due to the cell boundaries for a single nematicon…

Pattern Formation and Solitons · Physics 2009-06-26 Yana Izdebskaya , Vladlen Shvedov , Anton S. Desyatnikov , Wieslaw Krolikowski , Gaetano Assanto , Yuri S. Kivshar

Thanks to their unique properties, nematic liquid crystals feature a variety of mechanisms for light-matter interactions. For continuous-wave optical excitations, the two dominant contributions stem from reorientational and thermal…

A theoretical analysis of homeotropic alignment induced by nanoparticles (NPs) in a nematic liquid crystal (NLC) sample cell is presented. It is found that such alignment on the surface of a NP causes a change in the orientation of the…

Optics · Physics 2015-10-29 Amit Choudhary , Thomas F. George , Guoqiang Li

The common description of the electrical behavior of a nematic liquid crystal as an anisotropic dielectric medium with (weak) ohmic conductivity is extended to an electrodiffusion model with two active ionic species. Under appropriate, but…

patt-sol · Physics 2008-02-03 Martin Treiber , Lorenz Kramer

We theoretically investigate the threshold for the director reorientation from the homeotropic state to the hybrid homeotropic-planar state and vice versa in a cell filled with a flexoelectric nematic liquid crystal (NLC) subjected to an…

Soft Condensed Matter · Physics 2021-03-30 O. S. Tarnavskyy , M. F. Ledney

Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known…

Soft Condensed Matter · Physics 2020-08-05 Cody D. Schimming , Jorge Viñals

Solitons in liquid crystals have generated considerable interest. Several hypotheses of varying complexity have been advanced to explain how they emerge, and a consensus has not emerged yet about the underlying forces responsible for their…

Soft Condensed Matter · Physics 2022-10-18 Noe Atzin , Ali Mozaffari , Xingzhou Tang , Soumik Das , Nicholas L. Abbott , Juan J. de Pablo

Linear defects such as dislocations and disclinations in ordered materials attract foreign particles since they replace strong elastic distortions at the defect cores. In this work, we explore the behavior of isotropic droplets nucleating…

We present a general theory of liquid crystals under inhomogeneous electric field in a Ginzburg-Landau scheme. The molecular orientation can be deformed by electric field when the dielectric tensor is orientation-dependent. We then…

Soft Condensed Matter · Physics 2009-11-11 Lionel Foret , Akira Onuki

We use lattice Boltzmann simulations of the Beris--Edwards formulation of nematodynamics to probe the response of a nematic liquid crystal with conflicting anchoring at the boundaries under shear and Poiseuille flow. The geometry we focus…

Soft Condensed Matter · Physics 2009-11-10 D. Marenduzzo , E. Orlandini , J. M. Yeomans

The recently discovered ferroelectric nematic liquid crystals have been reported to exhibit very large dielectric permittivity values. Here, we report a systematic investigation of the dielectric behavior of a prototypical ferroelectric…

Soft Condensed Matter · Physics 2024-02-05 Aitor Erkoreka , Josu Martinez-Perdiguero , Richard J. Mandle , Alenka Mertelj , Nerea Sebastián

We analyze the existence and stability of two-component vector solitons in nematic liquid crystals for which one of the components carries angular momentum and describes a vortex beam. We demonstrate that the nonlocal, nonlinear response…

Optics · Physics 2015-05-13 Zhiyong Xu , Noel F. Smyth , Antonmaria A. Minzoni , Yuri S. Kivshar

We study stability and distortions of liquid crystal nematic order in a cell with a random heterogeneous substrate. Modeling this system as a bulk xy model with quenched disorder confined to a surface, we find that nematic order is…

Soft Condensed Matter · Physics 2010-05-05 Quan Zhang , Leo Radzihovsky
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