Bogomol'nyi, Prasad, Sommerfield Configurations in Smectics

ORAL

Abstract

It is typical in smectic liquid crystals to describe elastic deformations with a linear theory when the elastic strain is small. In smectics, certain essential nonlinearities arise from the requirement of rotational invariance. By employing the Bogomol'nyi, Prasad and Sommerfeld (BPS) decomposition and relying on boundary conditions and geometric invariants, we have found a large class of exact solutions.

Authors

  • Christian Santangelo

    University of Pennsylvania

  • Randall Kamien

    University of Pennsylvania, Department of Physics and Astronomy, University of Pennsylvania