Anomalous Hydrodynamic Behavior of Smectic Liquid Crystals at Low Frequencies

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Abstract
We have measured the layer compression modulus and the longitudinal viscosity of smectic-A phase of 8CB, and smectic-A and smectic-C phases of 4O.7 in the frequency range from 50Hz to 1kHz. We found that in this low-frequency regime, the viscosity shows the anomalous frequency dependence of the type \tildeκ/ω predicted theoretically by Mazenko, Ramaswamy and Toner(MRT). The measured \tildeκ has close correlation with the layer compression modulus consistent with the theory, but the observed \tildeκ is one order of magnitude larger than the value estimated from the lowest-order perturbation calculation by MRT.