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Variational theories for liquid crystals

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Author(s): Virga, Epifanio G
Series: Applied mathematics and mathematical computation series 8
Publisher: Chapman & Hall
Year: 1994

Language: English
Pages: 375
City: London
Tags: Cristalli liquidi -- Metodi matematici.

Content: Physical background. Liquid crystals. Early theories. Order parameters. Optical properties. Mathematical preliminaries. Points, vectors and tensors. Algebra. Analysis. Isotropic tensors. Transversely isotropic tensors. Isotropic functions. The classical theory. The bulk free energy. Frank's formula. Frank's constants. Eriksen's inequalities. Instabilities. Electric and magnetic energies. Freederick's transition. Periodic Freedericks' transition. De Gennes' transition. Twisted nematics. Inversion walls. Drops. Surface free energy. Equilibrium configurations. Small and large drops. Wulff's construction. Floating drops. Weak anchoring.