Singular values, nematic disclinations, and emergent biaxiality
نویسندگان
چکیده
منابع مشابه
Orientational properties of nematic disclinations.
Topological defects play a pivotal role in the physics of liquid crystals and represent one of the most prominent and well studied aspects of mesophases. While in two-dimensional nematics, disclinations are traditionally treated as point-like objects, recent experimental studies on active nematics have suggested that half-strength disclinations might in fact possess a polar structure. In this a...
متن کاملNematic biaxiality in a bent-core material.
The results of a recent investigation of the nematic biaxiality in a bent-core mesogen (A131) are in apparent disagreement with earlier claims. Samples of mesogen A131 used in the two studies were investigated with polarized optical microscopy, conoscopy, carbon-13 NMR, and crossover frequency measurements. The results demonstrate that textural changes associated with the growth of biaxial nema...
متن کاملField-Induced Motion of Nematic Disclinations
An individual defect in a nematic liquid crystal moves not only in response to its interaction with other defects but also in response to an external field. We analyze the motion of a wedge disclination in the presence of an applied field of strength H . We neglect backflow and seek steadily travelling patterns. The stationary picture yields a semi-infinite wall of strength π, bounded by the de...
متن کاملPrediction of disclinations in nematic elastomers.
We present a theory for uniaxial nematic elastomers with variable asphericity. As an application of the theory, we consider the time-independent, isochoric extension of a right circular cylinder. Numerical solutions to the resulting differential equation are obtained for a range of extensions. For sufficiently large extensions, there exists an isotropic core of material surrounding the cylinder...
متن کاملMinimizers of disclinations in nematic liquid crystals
In this work, we revisit the important problem of disclinations for nematic liquid-crystals in the variational theory of Oseen-Zöcher-Frank. Using the framework of dynamical system theory, the Frank’s energy functional among a class of special director fields for both the elastically isotropic and anisotropic cases are examined. The existence result on the critical points of the energy function...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2013
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.87.050504