Flux flow spin Hall effect in type-II superconductors with spin-splitting field.

We predict the very large spin Hall effect in type-II superconductors whose mechanism is drastically different from the previously known ones. We find that in the flux-flow regime the spin is transported by the spin-polarized Abrikosov vortices moving under the action of the Lorenz force in the direction perpendicular to the applied electric current. Due to the large vortex velocities the spin Hall angle can be of the order of unity in realistic systems based on the high-field superconductors, superconductor/ferromagnet hybrid structures or the recently developed superconductor/ferromagnetic insulator proximity structures.

Dynamic heat capacity in spatially restricted systems with phase transition.

The frequency-dependent complex heat capacity has been derived for spatially restricted systems with a bulk phase transition. It is demonstrated that internal energy relaxation is determined by the eigenvalues of the Fokker-Planck operator, providing an insight into the symmetry of the reduced free energy. The size driven properties of the energy relaxation rates are discussed and the universal ratio between them has been found.

Complementarity of phase transition and stochastic resonance in spatially restricted systems.

We study the linear response in a soft potential, the Landau-type temperature dependence of which is responsible for the monostable-to-bistable transformation. The system can be considered as a model of a sample with internal noise, where a second-order phase transition takes place in the bulk limit. The intensity of noise influencing the order parameter is supposed to be a function of the volume.