Switching Mechanism in the B-1revtilted Phase of Bent-Core Liquid Crystals

Authors

Carlos J. García-Cervera
Tiziana Giorgi
Sookyung Joo, Old Dominion UniversityFollow
Xin Yang Lu

Document Type

Article

Publication Date

2018

DOI

10.1137/17m1130848

Publication Title

Siam Journal on Mathematical Analysis

Volume

50

Issue

5

Pages

4889-4913

Abstract

The B_1RevTilted is a uniformly smectic tilted columnar phase in which the macroscopic polarization can be reorientated via electric field. To study the effects on the reorientation mechanism of the various physical parameters, we analyze a local, and a non-local Landau-de Gennes-type energy functional. For the case of large columnar samples, we show that both energies give the same qualitative behavior, with a relevant role played by the terms that describe the interaction between polarization and nematic directors. We also obtain existence of the L²-gradient flow in metric spaces for the full local energy.

Comments

NOTE: Publisher's version/PDF and author's post-print on author's personal website, institutional website or open access repository.

© 2018, Society for Industrial and Applied Mathematics.

Original Publication Citation

Garcia-Cervera, C. J., Giorgi, T., Joo, S., & Lu, X. Y. (2018). Switching mechanism in the B_1RevTilted phase of bent-core liquid crystals. Siam Journal on Mathematical Analysis, 50(5), 4889-4913. doi:10.1137/17m1130848

Repository Citation

García-Cervera, Carlos J.; Giorgi, Tiziana; Joo, Sookyung; and Lu, Xin Yang, "Switching Mechanism in the B-1revtilted Phase of Bent-Core Liquid Crystals" (2018). Mathematics & Statistics Faculty Publications. 139.
https://digitalcommons.odu.edu/mathstat_fac_pubs/139