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A quantitative study of the crossover from static to thermally dominated layer undulations in a liquid-crystalline film is presented. Off-specular x-ray scattering from Langmuir-Blodgett multilayers of liquid-crystalline monomer-polymer mixtures reveals that the amplitude of smectic layer undulations is dominated by static roughness for low monomer concentrations. With increasing monomer concentration, the contribution due to thermally induced undulations increases rapidly with a concomitant decrease in the in-plane correlation length associated with the layer undulation correlation function.
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Geer et al. (1995) studied this question.
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