General equations for the dynamic behavior of dirty superconductors in theGinzburg-Landau regime ITc-TI << T~ are derived from microscopic theory.In the immediate vicinity of Tc a local equilibrium approximation leads to a simple generalized time-dependent Ginzburg-Landau equation. The oscillatory phase-slip solutions presented previously are discussed in greater detail.

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The prediction of the ingot deformation during direct chiil (DC) and electromagnetic (EM) casting of aluminum alloy slabs would allow the optimization of the moldlinductor shape capable of producing flat ingots. The transient thermomechanical model presented here predicts the deformation and the temperature field evolution during DC/EM casting. Deformation in the solid is assumed to obey a viscoplastic law. The model is validated on the basis of the measurements presented in part I. It enables to predict the influence of casting parameters on butt curi and swell, rolling faces pull-in and residual stress state for DC and EM-cast ingots.

Measurements by Pippard et al. have shown the existence of an extra resistance due to the penetration o fan electrical potential into a superconductor. Previous theories of this effect are unable to explain the full temperature dependence of the extra resistance because the), use oversimplified models of the normalsuperconducting interface. We show that the microscopic theory/or dirt)' superconductors leads to a good agreement with experiment over the whole temperature range.