Abstract | ||
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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 |
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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-Cervera | 1 | 6 | 2.07 |
Tiziana Giorgi | 2 | 0 | 1.35 |
Sookyung Joo | 3 | 1 | 1.38 |
Xin Yang Lu | 4 | 7 | 1.94 |