Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1999-07-08
Nonlinear Sciences
Pattern Formation and Solitons
13 pages, 3 figures; submitted to Europhysics Letters, July, 1999
Scientific paper
We develop a characterization method of electroconvection structures in a planar nematic liquid crystal layer by a study of the electric current transport. Because the applied potential difference has a sinusoidal time dependence, we define two electric Nusselt numbers corresponding to the in-phase and out-of-phase components of the current. These Nusselt numbers are predicted theoretically using a weakly nonlinear analysis of the standard model. Our measurements of the electric current confirm that both numbers vary linearly with the distance from onset until the occurence of secondary instabilities; these instabilities also have a distinct Nusselt number signature. A systematic comparison between our theoretical and experimental results, using no adjusted parameters, demonstrates reasonable agreement. This represents a quantitative test of the standard model completely independent from traditional, optical techniques of studying electroconvection.
Gheorghiu N.
Gleeson James T.
Plaut E.
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