Abstract
We have investigated the pattern fluctuation in a highly developed electro-hydrodynamic convection (EHC) by dynamic analyses of spatial Fourier coefficients of images. We measured the power spectrum and the two-time correlation function of spatial Fourier coefficients of images in the two turbulent states of EHC: the dynamic scattering mode (DSM)1 and DSM2 states. It was found that in the DSM1 state both the power spectrum and the correlation time show spatial anisotropy and have a characteristic peak at a wave number corresponding to the thickness of the cell in the rubbing direction. The peaks of the power spectrum and the correlation time decrease as the applied electric field is raised, and vanish entirely when the system undergoes the transition from DSM1 to DSM2. In the DSM2 state, there is no anisotropy in both the power spectrum and the correlation time.
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