We report the details of the measurements of the layer compression modulus B and the longitudinal viscosity η of several thermotropic smectic phases in the frequency range from 10 Hz to 1 kHz. We confirmed for smectic phases having liquidlike layers (including smectic-A, smectic-C and chiral smectic-C phases) that η has an anomalous frequency (ω) dependence of the type κ/ω predicted theoretically by Mazenko, Ramaswamy and Toner, and also by Katz and Lebedev. The temperature dependence of B and the strength of the anomalous viscosity κ were measured in detail, which revealed, in particular, that a close correlation exists between κ and B. We also found that, under an applied magnetic field, which tends to suppress the thermal fluctuations of smectic layers, κ decreases whereas B increases, a result which is consistent with the premise of the advocated theories.
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Yamamoto et al. (1991) studied this question.