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Proceedings Paper

Smectic films and quantum billiards
Author(s): M. Brazovskaia; Pawel Pieranski
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Paper Abstract

Smectic liquid crystals can form free-standing films of large ratio surface-thickness which sometime permits us to view them as bidimensional systems. This viewpoint is useful to study the drum-head oscillations of these films. The frequency spectra of vibrating films is given by the wave equation which is similar to the 2D Schroedinger equation, which make them the classical analogue of the appropriate 'quantum billiards'. In particular, rectangular smectic films with a very small inclusion like a small ball cached by the film are equivalent to the rectangular quantum billiards with a quasi point-like scattering. A film of a dozen of layers can accommodate massif inclusions like a small steel ball. This ball tends to adjust its position on the film surface in function on the excitation frequency.

Paper Details

Date Published: 1 February 1998
PDF: 4 pages
Proc. SPIE 3318, Liquid Crystals: Physics, Technology, and Applications, (1 February 1998); doi: 10.1117/12.300006
Show Author Affiliations
M. Brazovskaia, Univ. Paris-Sud (France)
Pawel Pieranski, Univ. Paris-Sud (France)

Published in SPIE Proceedings Vol. 3318:
Liquid Crystals: Physics, Technology, and Applications
Jolanta Rutkowska; Stanislaw J. Klosowicz; Jerzy Zielinski; Jozef Zmija, Editor(s)

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