Document Type

Article

Publication Date

2020

DOI

10.1137/19M1301618

Publication Title

SIAM Journal on Applied Mathematics

Volume

80

Issue

5

Pages

2024-2044

Abstract

We investigate the relaxation of an energy functional originated in the physics literature to study the bistability of polarization modulated orthogonal smectic phases (SmAPFmod) of bent-core molecules liquid crystals. We show that the interplay between the mixed boundary conditions and the shape of the sample results in boundary defects. We also analyze the bistable switching due to an applied electric field via gradient flow numerical simulations. Our computations reveal a novel dynamic scenario, where switching is achieved by the formation of two internal vortices.

Comments

The Author may post the final published version of the Work on the Author's personal web site and on the web server of the Author's institution, provided that proper notice of the Publisher's copyright is included and that no separate or additional fees are collected for access to or distribution of the work.

© 2020, Society for Industrial and Applied Mathematics (SIAM)

Unauthorized reproduction of this article is prohibited.

Original Publication Citation

Garcia-Cervera, C. J., Giorgi, T., & Joo, S. (2020). Boundary vortex formation in polarization-modulated orthogonal smectic liquid crystals. SIAM Journal on Applied Mathematics, 80(5), 2024-2044. https://doi.org/10.1137/19m1301618

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