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The results on the behavior of phase-slip centers in thin superconductingwires based on finite-element modeling and time-dependent Ginzburg-Landau(TDGL) equations are discussed. For closer relationship with experiments, weused finite-gap formulation of the TDGL system. Both the dynamic equation forthe Cooper-pair condensate wave-function and the expression for the electriccurrent are more complex than in the gapless case. On this basis, the influenceof nonequilibrium phonons is explored. These phonons can essentially change thelocation of geometrical points in which the phase slippage takes place. Theyalso affect the frequency of phase-slip oscillations. The reported effects areexperimentally detectable and can be used in practical devices.

Phonon Feedback Effects on Dynamics of Phase Slip Centers in Finite Gap Superconductors