Title
Switching Mechanism in the B Phase of Bent-Core Liquid Crystals.
Abstract
The bent-core B(1RevTilted)( )phase is a smectic tilted columnar phase in which the macroscopic polarization can be reversed via an electric field. In the switching, the molecules can rotate either around the tilt cone or around the molecular axis, with one mechanism preferred over the other depending on various properties of the material. In this paper, we compare a local and a nonlocal Landau-de Gennes-type energy functional modeling this phenomenon, and show that for small polarization splay coefficients they give the same qualitative behavior. The explicit form of the limiting functional allows us to also characterize the parameter regime where switching around the molecular axis is preferred. Finally, we describe the setup needed to obtain a standard existence result for the L-2-gradient flow in metric spaces of the full local energy.
Year
DOI
Venue
2018
10.1137/17M1130848
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
DocType
Volume
bent-core molecules,liquid crystals,columnar phases,Gamma-convergence,energy minimization,gradient flow
Journal
50
Issue
ISSN
Citations 
5
0036-1410
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Carlos J. García-Cervera162.07
Tiziana Giorgi201.35
Sookyung Joo311.38
Xin Yang Lu471.94