Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1995-03-27
Nonlinear Sciences
Pattern Formation and Solitons
REVTeX, 4 figures in uuencoded, tar-compressed PS format
Scientific paper
10.1103/PhysRevE.54.R1048
We have measured the stability boundary for steady electrically-driven convective flow in thin, freely suspended films of Smectic-A liquid crystal. The thinness and layered structure of the films supress two- and three-dimensional instabilities of the convection pattern. As the voltage applied across the film, or the length of the film, is varied, convective vortices are created or destroyed to keep the wave number of the pattern within a stable range. The range of stable wave numbers increases linearly with the dimensionless control parameter $\epsilon$, for small $\epsilon$, and the vortices always appear and disappear at the ends of the film. These results are consistent with a mechanism for boundary-induced wavelength selection proposed by Cross {\it et al.} [Phys. Rev. Lett. {\bf 45}, 898 (1980)].
de Bruyn John R.
Mao Shijun
Morris Stephen W.
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