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In the last decade Diffusing Wave Spectroscopy (DWS) has emerged as a powerful tool to study turbid media. In this article we develop the formalism to describe light diffusion in general anisotropic turbid media. We give explicit formulas…

Soft Condensed Matter · Physics 2009-10-28 Holger Stark , Tom C. Lubensky

We present a rigorous treatment of the diffusion approximation for multiple light scattering in anisotropic random media, and apply it to director fluctuations in a nematic liquid crystal. For a typical nematic material, 5CB, we give…

Condensed Matter · Physics 2009-10-28 Holger Stark , Tom C. Lubensky

We consider the multiple scattering of light by fluctuations of the director in a nematic liquid crystal. Using methods of numerical simulation the peak of the coherent backscattering and the coefficients of anisotropic diffusion are…

Soft Condensed Matter · Physics 2015-06-18 E. V. Aksenova , D. I. Kokorin , V. P. Romanov

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

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…

We find in a model system of thermotropic liquid crystals that the translational diffusion coefficient parallel to the director $D_{\parallel}$ first increases and then decreases as temperature drops through the nematic phase, and this…

Soft Condensed Matter · Physics 2009-11-11 Dwaipayan Chakrabarti , Biman Bagchi

The difficulty of description of the radiative transfer in disordered photonic crystals arises from the necessity to consider on the equal footing the wave scattering by periodic modulations of the dielectric function and by its random…

Disordered Systems and Neural Networks · Physics 2009-10-16 M. V. Erementchouk , L. I. Deych , H. Noh , H. Cao , A. A. Lisyansky

The orientation fluctuations of the director of a liquid crystal are measured, by a sensitive polarization interferometer, close to the Fr\'eedericksz transition, which is a second order transition driven by an electric field. Using mean…

Statistical Mechanics · Physics 2009-11-13 Sylvain Joubaud , Guillaume Huillard , Artyom Petrosyan , Sergio Ciliberto

As recently reported [Turiv T. et al., Science, 2013, Vol. 342, 1351], fluctuations in the orientation of the liquid crystal (LC) director can transfer momentum from the LC to a colloid, such that the diffusion of the colloid becomes…

Soft Condensed Matter · Physics 2015-06-15 T. Turiv , A. Brodin , V. Nazarenko

We study light scattering by a hedgehog-like and linear disclination topological defects in a nematic liquid crystal by a metric approach. Light propagating near such defects feels an effective metric equivalent to the spatial part of the…

Soft Condensed Matter · Physics 2013-01-23 E. Pereira , F. Moraes

The transport of an infinitely thin, hard rod in a random, dense array of point obstacles is investigated by molecular dynamics simulations. Our model mimics the sterically hindered dynamics in dense needle liquids. The center-of-mass…

Statistical Mechanics · Physics 2008-09-22 Felix Höfling , Erwin Frey , Thomas Franosch

We consider light propagation through a twisted nematic liquid crystal. At first, an expression for light transmission is obtained using a rather intuitive approach. Secondly, an accurate solution for light transmission based on Maxwell's…

Optics · Physics 2017-05-09 Nadina Gheorghiu , George Y. Panasyuk

We develop an analytical theory for diffusive random lasers by coupling the transport theory of the disordered medium to the semiclassical laser rate equations, accounting for (coherent) stimulated and (incoherent) spontaneous emission.…

Disordered Systems and Neural Networks · Physics 2012-03-27 R. Frank , A. Lubatsch , J. Kroha

In this work we include the elastic scattering of longitudinal electromagnetic waves in transport theory using a medium filled with point-like, electric dipoles. The interference between longitudinal and transverse waves creates two new…

Disordered Systems and Neural Networks · Physics 2021-05-17 B. A. van Tiggelen , S. E. Skipetrov

How condensed-matter simulations depend on the number of molecules being simulated ($N$) is sometimes itself a valuable piece of information. Liquid crystals provide a case in point. Light scattering and $2d$-IR experiments on…

Soft Condensed Matter · Physics 2024-12-20 Eleftherios Mainas , Richard M. Stratt

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

We study the self diffusion of individual particles in dense (non-)uniform complex fluids within dynamic density functional theory and explicitly account for their coupling to the temporally fluctuating background particles. Applying the…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij , Marjolein Dijkstra , Paul van der Schoot

The angular and frequency correlation functions of the transmission coefficient for light propagation through a strongly scattering amplifying medium are considered. It is found that just as in the case of an elastic scattering medium the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. A. Burkov , A. Yu. Zyuzin

Particles moving along curved trajectories will diffuse if the curvature fluctuates sufficiently in either magnitude or orientation. We consider particles moving at a constant speed with either a fixed or with a Gaussian distributed…

Soft Condensed Matter · Physics 2009-11-10 Andrew D. Rutenberg , Andrew J. Richardson , Claire J. Montgomery

The propagation of light in a resonant atomic vapor can \textit{a priori} be thought of as a multiple scattering process, in which each scattering event redistributes both the direction and the frequency of the photons. Particularly, the…

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