Evanescent quasiparticles entering a superconductor and propagating over distances larger than the coherence length give rise to intermediate states induced by double Andreev scattering on disorder. The resulting effective attractive interaction between evanescent quasiparticles is retarded at the extremely slow frequency of the applied bias voltage. The out-of-equilibrium mesoscopic superconductor with a fluctuating phase variable is compatible with a recent experiment [S. Russo , Phys. Rev. Lett. 95, 027002 (2005)]. Microscopic theory is discussed in the random-phase approximation.
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