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Casimir-like interactions and surface anchoring duality in bookshelf geometry of smectic-A liquid crystals

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Abstract

We analyze the transverse intersubstrate Casimir-like force, arising as a result of thermal fluctuations of the liquid crystalline layers of a smectic-A film confined between two planar substrates in a bookshelf geometry, in which the equidistant smectic layers are placed perpendicular to the bounding surfaces. We discuss the variation of the interaction force as a function of the intersubstrate separation in the presence of surface anchoring to the substrates, showing that the force induced by confined fluctuations is attractive and depends on the penetration length as well as the layer spacing. The strongest effect occurs for tightly confined fluctuations, in which the surface anchoring energy is set to infinity, where the force per area scales linearly with the thermal energy and inversely with the fourth power of the intersubstrate separation. By reducing the strength of the surface anchoring energy, the force first becomes weaker in magnitude but then increases in magnitude as the surface anchoring strength is further reduced down to zero, in which case the force tends to that obtained in the limit of strong anchoring.

Graphical abstract: Casimir-like interactions and surface anchoring duality in bookshelf geometry of smectic-A liquid crystals

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Publication details

The article was received on 14 Nov 2018, accepted on 01 Feb 2019 and first published on 06 Feb 2019


Article type: Paper
DOI: 10.1039/C8SM02328J
Citation: Soft Matter, 2019, Advance Article

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    Casimir-like interactions and surface anchoring duality in bookshelf geometry of smectic-A liquid crystals

    F. Karimi Pour Haddadan, A. Naji and R. Podgornik, Soft Matter, 2019, Advance Article , DOI: 10.1039/C8SM02328J

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