Abstract
We have investigated the pattern fluctuations of electrohydrodynamic convection in a homeotropically aligned nematic layer by means of the dynamic image analysis. The time correlation function C k ( t ) for the spatial Fourier coefficient was obtained from the observed patterns and exhibited the relaxational type. In the long-wavelength regime, it was found that the relaxation frequency is expressed as τ -1 ( k )=α+κ k 2 , where the coefficients α and κ are functions of a normalized voltage ε, and τ -1 (0)∝ε. These results indicate that the collective fluctuation of pattern induced by rolls should be diffusive. The analogy with the second-order phase transition induced by a relaxational soft mode is also discussed.
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