29 research outputs found
Parity Breaking in Nematic Tactoids
We theoretically investigate under what conditions the director field in a
spindle-shaped nematic droplet or tactoid obtains a twisted, parity-broken
structure. By minimizing the sum of the bulk elastic and surface energies, we
show that a twisted director field is stable if the twist and bend elastic
constants are small enough compared to the splay elastic constant, but only if
the droplet volume is larger than some minimum value. We furthermore show that
the transition from an untwisted to a twisted director-field structure is a
sharp function of the various control parameters. We predict that suspensions
of rigid, rod-like particles cannot support droplets with a parity broken
structure, whereas they could possibly occur in those of semi-flexible,
worm-like particles.Comment: 20 pages, 9 figures, submitted to Journal of Physics: Condensed
Matte
Multiple light scattering in anisotropic random media
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 to calculate the diffusion tensor and the dynamic absorption
coefficient, measured in DWS experiments. We apply our theory to uniaxial
systems, namely nematic liquid crystals, where light is scattered from thermal
fluctuations of the local optical axis, called director. We perform a detailed
analysis of the two essential diffusion constants, parallel and perpendicular
to the director, in terms of Frank elastic constants, dielectric anisotropy,
and applied magnetic field. We also point out the relevance of our results to
different liquid crystalline systems, such as discotic nematics, smectic-A
phases, and polymer liquid crystals. Finally, we show that the dynamic
absorption coefficient is the angular average over the inverse viscosity, which
governs the dynamics of director fluctuations.Comment: 23 pages, 12 ps figures, to be published in Phys. Rev.