The phase transition between chiral nematic and smectic \(A^*\) liquid crystals

DOI10.1007/s00205-002-0223-8zbMath1032.76007OpenAlexW2123896152MaRDI QIDQ1861176

Chun Liu, M. Carme Calderer, Patricia Baumann, Daniel R. Phillips

Publication date: 13 March 2003

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-002-0223-8

zbMATH Keywords

material constantsGinzburg-Landau theorytwistexistence of minimizerssuperconducting materialsFrank constantsLandau-de Gennes free energylayer formation

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Ginzburg-Landau equations (35Q56)

Related Items (16)

The phase transitions from chiral nematic toward smectic liquid crystals ⋮ A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation ⋮ The Ericksen model of liquid crystals with colloidal and electric effects ⋮ Existence of surface smectic states of liquid crystals ⋮ A finite element method for the generalized Ericksen model of nematic liquid crystals ⋮ The effect of external fields in the theory of liquid crystals ⋮ Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\) ⋮ Existence of solutions to boundary value problems for smectic liquid crystals ⋮ Critical elastic coefficient of liquid crystals and hysteresis ⋮ Thin boundary layers of chiral smectics ⋮ Reduced Landau-de Gennes functional and surface smectic state of liquid crystals ⋮ Mathematical developments in the study of smectic A liquid crystals ⋮ Analytic description of layer undulations in smectic A liquid crystals ⋮ Variational Problems and Modeling of Ferroelectricity in Chiral Smectic C Liquid Crystals ⋮ Topologically driven local minimizers of the Oseen-Frank energy ⋮ Stability and asymptotics in nematic liquid crystals under a small Dirichlet data and a non-constant magnetic field

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