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PubMed2000

Three-dimensional nonlinear dynamics of thin liquid films

Three-dimensional dynamics of thin Newtonian liquid films subjected to long-range van der Waals forces on a horizontal coated solid surface is numerically studied in the framework of the long-wave theory. The dynamics of nonvolatile films results in the emergence of an isolated steady drop standing on a practically flat film, while volatile films uniformly disappear on the macroscale. In both cases the evolution of the initial small-amplitude noise spans over the stages of self-organization, fast thinning of the depressions, formation and expansion of the "holes," emergence of the polygonal network of liquid ridges, and its breakup, as seen in the experiments.

Journal Article↗
PubMed2000

Phenomenological model of dynamic nonlinear response of relaxor ferroelectrics

A phenomenological model was proposed which describes frequency dispersion of nonlinear dielectric response of relaxor ferroelectrics (relaxors) as a result of dispersion of their linear dielectric permittivity. The model was applied to Pb(Mg(1/3)Nb(2/3))O3 (PMN) relaxor. It provided a good qualitative description of temperature and frequency dependence of the third harmonics of PMN. Analysis within the model yielded a frequency independent nonlinear coefficient corresponding to static nonlinear dielectric susceptibility. The model explained the recently reported for PMN data on the Vogel-Fulcher law for frequency dependence of the temperature at which the third harmonics passes a maximum.

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