Spatial Fourier Analysis of Convective Cells in the Region from the Williams Domain to the Grid Pattern

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  • Spatial Fourier Analysis of Convective

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Flow patterns in an electrohydrodynamic instability of a nematic liquid crystal are investigated in the region from two-dimensional flow (WD) to three-dimensional one (GP), using spatial Fourier analysis of patterns. The characteristic behaviors of two modes perpendicular (q⊥) and parallel (q⁄⁄) to the WD rolls are obtained. The large fluctuations exist in the transition region for both cases, resulting to excite band-like spectra. According to the spectrum of q⁄⁄, the spatially regulated GP comes out clearly at the normalized field k≥1.7, whose power linearly increases with increase of k.

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