Nematiclike viscosity coefficients of ferroelectric liquid crystals in their smectic-C* phase

The five nematiclike viscosity coefficients corresponding to the Smectic-C-* (SmC*) phase are calculated by a combination of the existing statistical-mechanical approach and NMR theory, based on a rotational diffusion model for two ferroelectric smectogens. The order parameter S-2, the smectic tilt angle theta, and the rotational diffusion coefficient D-perpendicular to, corresponding to molecular tumbling in the SmC* phase, for the ferroelectric smectogens 4-[4'-(1-methylheptyloxy)]biphenyl'-(10-undecenyloxy)benzoate and (S)-[4-(2-methylbutyl)phenyl]-4'-n-octylbiphenylcarboxylate have been obtained by means of H-2 NMR spectroscopy and these data have been used to calculate viscosity quantities. For practical purposes a specific form of the functional dependence of S-4 on S-2 is used. As the main result, our calculations also predict a laminar flow regime in a high shear flow for these liquid crystal compounds.