Siam Journal on Mathematical Analysis
The B1RevTilted 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.
Original Publication Citation
Garcia-Cervera, C. J., Giorgi, T., Joo, S., & Lu, X. Y. (2018). Switching mechanism in the B1RevTilted phase of bent-core liquid crystals. Siam Journal on Mathematical Analysis, 50(5), 4889-4913. doi:10.1137/17m1130848
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.