Curvature and topology in smectic-A liquid crystals

DOI10.1098/rspa.2005.1534zbMath1186.82091OpenAlexW2161568223WikidataQ125288652 ScholiaQ125288652MaRDI QIDQ5427654

Christian D. Santangelo, Randall D. Kamien

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1534

zbMATH Keywords

nonlinear elasticityexact solutionsedge dislocationssmectics

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)

Related Items (8)

Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness ⋮ An SBV relaxation of the cross-Newell energy for modeling stripe patterns and their defects ⋮ CONTINUOUS TRANSITION OF DEFECT CONFIGURATION IN A DEFORMED LIQUID CRYSTAL FILM ⋮ Smectic liquid crystals: Materials with one-dimensional, periodic order ⋮ Compactness and sharp lower bound for a 2D smectics model ⋮ Topology and geometry of smectic order on compact curved substrates ⋮ Geometric Theory of Columnar Phases on Curved Substrates ⋮ Weak anchoring effects in smectic-\(A\) Fréedericksz transitions

Cites Work

• Differential forms. With applications to the physical sciences
• Bogomol'nyi decomposition for vesicles of arbitrary genus
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