BPS Configurations in Smectics
C. D. Santangelo, Randall D. Kamien
Abstract
It is typical in smectic liquid crystals to describe elastic deformations with a linear theory when the elastic strain is small. We extend the recent, exact solution of Brener and Marchenko to more general one-dimensional deformations, including multiple edge dislocations by relying on the Bogomol'nyi, Prasad and Sommerfield (BPS) decomposition. We introduce an approximation for the deformation profile far from a spherical inclusion and find an enhanced attractive interaction at long distances due to the nonlinear elasticity.
Create a lesson
Related papers
Potential energy release rate for solids with bounded domains during evolutions involving changes to boundaries and boundary data
Mrityunjay Kothari, Sayaka Kochiyama, Haneesh Kesari
Arrested phase separation and amorphous patterns in charged binary fluids
Logan H. Grant, Ana Bensabat, Eva Pospivsilova et al.
Shear-driven arrest of dip-coating film entrainment
Theo Witkamp, Stéphane Zaleski, Federico Toschi
How Fluctuations Control Chiral Symmetry Breaking in Reacting Mixtures of Chiral Molecules
Leonardo Silva-Dias, Christoph A. Weber
A new device for live cell imaging of biological samples under in-plane shear
Sidharth Kumar Das, Lyova Mamoyan, Eberhard Bodenschatz et al.
Imbibition dynamics under dissolution-driven fluid thickening
H. W. Almeida, A. F. V. Matias, R. C. V. Coelho et al.