Abstract
Ripple interferometers of the type devised by Mann and Hansen are being developed to the precision and accuracy level that allow the experimental study of subtle interfacial viscoelastic effects. Paralleling the experimental work has been an effort to deepen the theoretical models devised to interpret the observable ripple wave numbers and damping coefficients. We report the principal results of a numerical study of the ripple field equations. We focused on relaxation effects beyond that associated with diffusion transport from the substrate to the surface, in particular, the surface compression viscosity coefficient was modeled in terms of a single relaxation time that would correspond to molecular reordering effects in the surface. The dispersion of the wave numbers and damping coefficients for both the almost transverse and almost longitudinal ripple modes was calculated for a range of relaxation parameters and monolayer states. The physical meaning and relevancy of the results with respect to the biomembrane structure-function problem are discussed.
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