J. Phys. II France
Volume 2, Number 3, March 1992
Page(s) 487 - 501
DOI: 10.1051/jp2:1992145
J. Phys. II France 2 (1992) 487-501

"Pseudo-Casimir" effect in liquid crystals

A. Ajdari1, B. Duplantier2, D. Hone3, L. Peliti4 and J. Prost1

1  Laboratoire de Physico-Chimie Théorique URA 1382, ESPCI, 10 rue Vauquelin, F-75231 Paris Cedex 05, France
2  Service de Physique Théorique, CE Saclay, Institut de Recherche Fondamentale, F-91191 Gif-sur-Yvette Cedex, france
3  Department of Physics, University of California, Santa Barbara CA 93106, U.S.A.
4  Dipartimento di Scienze Fisiche and Unità INFM, Mostra d'Oltremare, Pad. 19, I-80125 Napoli, Italy

(Received 29 August 1991, accepted 15 November 1991)

We show that the boundary conditions imposed on the director fluctuations in nematics by the presence of rigid walls give rise to long-range forces analogous to the Casimir effect in electrodynamics. We discuss different calculational schemes for the derivation of this results. We derive the spatial behavior of this interaction for smectics and columnar phases in different geometries.

61.30B - 68.45

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