ЖЭТФ, Том 136,
Вып. 5,
стр. 1023 (Ноябрь 2009)
(Английский перевод - JETP,
Vol. 109, No 5,
p. 885,
November 2009
доступен on-line на www.springer.com
)
``ELASTIC '' FLUCTUATION-INDUCED EFFECTS IN SMECTIC WETTING FILMS
Pikina E.S.
Поступила в редакцию: 26 Мая 2009
PACS: 61.30.Hn, 61.30.Dk, 64.70.M-, 61.30.Eb
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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