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We study light transmission through a homeotropically oriented nematic liquid crystal cell and solve self-consistently a nonlinear equation for the nematic director coupled to Maxwell's equations. We demonstrate that above a certain…

Optics · Physics 2007-05-23 Andrey E. Miroshnichenko , Igor Pinkevych , Yuri S. Kivshar

We introduce a new mesoscopic model for nematic liquid crystals (LCs). We extend the particle-based stochastic rotation dynamics method, which reproduces the Navier-Stokes equation, to anisotropic fluids by including a simplified…

Soft Condensed Matter · Physics 2015-05-20 Kuang-Wu Lee , Marco G. Mazza

The spectral asymmetry of the wave energy distribution of dust particles during mode-coupling induced melting, observed for the first time in plasma crystals by Cou\"edel et al. [Phys. Rev. E 89, 053108 (2014)], is studied theoretically and…

Plasma Physics · Physics 2016-01-20 Ingo Laut , Sergey K. Zhdanov , Christoph Räth , Hubertus M. Thomas , Gregor E. Morfill

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding…

Materials Science · Physics 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

The structure of optical dispersive shock waves in nematic liquid crystals is investigated as the power of the optical beam is varied, with six regimes identified, which complements previous work pertinent to low power beams only. It is…

Pattern Formation and Solitons · Physics 2021-12-28 Saleh Baqer , Dimitrios J. Frantzeskakis , Theodoros Horikis , Côme Houdeville , Timothy R. Marchant , Noel F. Smyth

Capillary microflows of liquid crystal phases are central to material, biological and bio-inspired systems. Despite their fundamental and applied significance, a detailed understanding of the stationary behaviour of nematic liquid crystals…

Soft Condensed Matter · Physics 2021-07-21 Paul Steffen , Eric Stellamanns , Anupam Sengupta

In the continuum limit, the theory of dislocations in crystals predicts a divergence in the elastic energy of the host material at a crystal geometry dependent limiting (or critical) velocity $v_c$. Explicit expressions for $v_c$ are…

Materials Science · Physics 2023-01-19 Daniel N. Blaschke

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

We theoretically investigate dispersion of plasma waves propagating in a lateral plasmonic crystal based on a two-dimensional electron system with grating gates. Two specific configurations are analyzed: a system with single grating gate…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 I. V. Gorbenko , P. A. Gusikhin , V. Yu. Kachorovskii , V. M. Muravev

Molecules of a nematic liquid crystal respond to an applied magnetic field by reorienting themselves in the direction of the field. Since the dielectric anisotropy of a nematic is small, it takes relatively large fields to elicit a…

Analysis of PDEs · Mathematics 2013-01-17 M. Carme Calderer , Antonio DeSimone , Dmitry Golovaty , Alexander Panchenko

The development of a general theoretical framework for describing the behaviour of a crystal driven far from equilibrium has proved difficult1. Microfluidic crystals, formed by the introduction of droplets of immiscible fluid into a…

Fluid Dynamics · Physics 2010-08-09 Tsevi Beatus , Tsvi Tlusty , Roy Bar-Ziv

Motivated by results for the propagation of active-passive interfaces of bacterial Serratia marcescens swarms [Nat. Comm., 9, 5373 (2018)] we use a hydrodynamic multiphase model to investigate the propagation of interfaces of active…

Soft Condensed Matter · Physics 2021-02-25 Rodrigo C. V. Coelho , Nuno A. M. Araújo , Margarida M. Telo da Gama

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 study wave propagation in strongly nonlinear 1D diatomic granular crystals under an impact load. Depending on the mass ratio of the `light' to `heavy' beads, this system exhibits rich wave dynamics from highly localized traveling waves…

Soft Condensed Matter · Physics 2015-12-09 E. Kim , R. Chaunsali , H. Xu , J. Jaworski , J. Yang , P. Kevrekidis , A. F. Vakakis

The study of liquid crystals at equilibrium has led to fundamental insights into the nature of ordered materials, as well as to practical applications such as display technologies. Active nematics are a fundamentally different class of…

Soft Condensed Matter · Physics 2015-08-19 Stephen J. DeCamp , Gabriel S. Redner , Aparna Baskaran , Michael F. Hagan , Zvonimir Dogic

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

We show some new properties of the acoustic propagation in two-dimensional sonic crystals, formed by parallel rigid cylinders placed in air. The transmission through slabs of sonic crystals and the associated band structures are considered.…

Materials Science · Physics 2009-11-10 Liang-Shan Chen , Chao-Hsien Kuo , Zhen Ye

Acoustic shock and acceleration waves in inhomogeneous fluids are investigated using both analytical and numerical methods. In the context of start-up signaling problems, and based on linear acoustics theory, we study the propagation of…

Fluid Dynamics · Physics 2018-11-13 R. S. Keiffer , P. M. Jordan , I. C. Christov

Acoustic bianisotropic materials couple pressure and local particle velocity fields to simultaneously excite monopole and dipole scattering, which results in asymmetric wave transmission and reflection of airborne sound. In this work, we…

Applied Physics · Physics 2019-05-27 Steven R. Craig , Xiaoshi Su , Andrew N. Norris , Chengzhi Shi
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