24 citations · 71 across the 7 of their papers we have counts for
7 papers
Smectic order, pinning, and phase transition in a smectic liquid crystal cell with a random substrate
Quan Zhang, Leo Radzihovsky
We study smectic-liquid-crystal order in a cell with a heterogeneous substrate imposing surface random positional and orientational pinnings. Proposing a minimal random elastic mod…
Smectic-glass transition in a liquid crystal cell with a "dirty" substrate
Quan Zhang, Leo Radzihovsky
We explore the smectic liquid crystal order in a cell with a "dirty" substrate imposing random pinnings. Within harmonic elasticity we find a subtle three-dimensional surface disor…
Plugs in rough capillary tubes: enhanced dependence of motion on plug length
Quan Zhang, Konstantin S. Turitsyn, Thomas A. Witten
We discuss the creeping motion of plugs of negligible viscosity in rough capillary tubes filled with carrier fluids. This extends Bretherton's research work on the infinite-length…
Stability and distortions of liquid crystal order in a cell with a heterogeneous substrate
Quan Zhang, Leo Radzihovsky
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 c…
Liquid crystal cells with "dirty" substrates
Leo Radzihovsky, Quan Zhang
We explore liquid crystal order in a cell with a "dirty" substrate imposing a random surface pinning. Modeling such systems by a random-field xy-model with surface heterogeneity, w…
Conical soliton escape into a third dimension of a surface vortex
Leo Radzihovsky, Quan Zhang
We present an exact three-dimensional solitonic solution to a sine-Gordon-type Euler-Lagrange equation, that describes a configuration of a three-dimensional vector field n constra…