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ZhETF, Vol. 136, No. 5, p. 1023 (November 2009)
(English translation - JETP, Vol. 109, No. 5, p. 885, November 2009 available online at )

Pikina E.S.

Received: May 26, 2009

PACS: 61.30.Hn, 61.30.Dk, 64.70.M-, 61.30.Eb

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The Li-Kardar field theory approach is generalized to wetting smectic films and the ``elastic '' fluctuation-induced interaction is obtained between the external flat bounding surface and distorted IA (isotropic liquid-smectic A) interface acting as an ``internal '' (bulk) boundary of the wetting smectic film under the assumption that the IA interface is essentially ``softer '' than the surface smectic layer. This field theory approach allows calculating the fluctuation-induced corrections in Hamiltonians of the so-called ``correlated '' liquids confined by two surfaces in the case where one of the bounding surfaces is ``rough '' and with different types of surface smectic layer anchoring. We obtain that in practice, the account of thermal displacements of the smectic layers in a wetting smectic film reduces to the addition of two contributions to the IA interface Hamiltonian. The first, so-called local contribution describes the long-range thermal ``elastic '' repulsion of the fluctuating IA interface from the flat bounding surface. The second, so-called nonlocal contribution is connected with the occurrence of an ``elastic '' fluctuation-induced correction to the stiffness of the IA interface. An analytic expression for this correction is obtained.

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