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Intrinsic Frustration and Space Curvature in Smectic a Liquid Crystals

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Geometry and Thermodynamics

Part of the book series: NATO ASI Series ((NSSB,volume 229))

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Abstract

Smectic A connex droplets in Isotropic melt are frustrated systems. Frustration comes from two incompatible constraints : layer equidistance in the bulk and layer orientation perpendicular to the Smectic A-Isotropic interface. In a 2D model, this frustration is released in the S2 curved space. Uncurving S2 to R2, one finds back the bâtonnets and “zig-zag” shapes observed in thin samples.

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Author information

Authors and Affiliations

  1. Laboratoire de Physique des Solides, associé au CNRS, LA2, Université Paris-Sud, Bât. 510, 91405, Orsay Cedex, France

    J. B. Fournier, J. F. Sadoc & G. Durand

Authors
  1. J. B. Fournier
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  2. J. F. Sadoc
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  3. G. Durand
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Editor information

Editors and Affiliations

  1. National Center of Telecommunication Studies, Bagneux, France

    J.-C. Tolédano

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© 1990 Springer Science+Business Media New York

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Fournier, J.B., Sadoc, J.F., Durand, G. (1990). Intrinsic Frustration and Space Curvature in Smectic a Liquid Crystals. In: Tolédano, JC. (eds) Geometry and Thermodynamics. NATO ASI Series, vol 229. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3816-5_19

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  • DOI: https://doi.org/10.1007/978-1-4615-3816-5_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6702-4

  • Online ISBN: 978-1-4615-3816-5

  • eBook Packages: Springer Book Archive

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