True hydrodynamic instabilities in nematic and weakly cholesteric liquids of positive dielectric anisotropy were observed under ac excitation. Static and dynamic periodic structures occur under two regimes. The low-conductance mode is characterized by an instability threshold voltage which is independent of the driving frequency and almost independent of temperature until a transition frequency is reached. Above that transition frequency, the threshold is a field, proportional to the square root of the driving frequency and varying with temperature as the square root of the viscosity. The high-conductance mode is characterized by a field threshold at all driving frequencies. The conductance mode type is determined by both the charge relaxation frequency and the electrode spacing. The existence of a cutoff frequency for the instability lends additional support to the identification of the phenomenon as a conductance mode.
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Alan Sussman (1976) studied this question.
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