  We investigate the stability of the solutions of the BCS model with the
external pair potential formulated in a work K.V. Grigorishin arXiv:1605.07080.
It has been shown that the cause of superconductivity in this model is the
electron-electron interaction only and the potential cannot impose
superconductivity since the superconducting ordering will be destroyed by phase
fluctuations in a form of quantum turbulence (vortexes, vortex rings, vortex
tangles etc.). The external pair potential renormalizes the order parameter in
initial superconducting matter and the bosonic scenario of transition to normal
state in a clear 3D superconductor occurs unlike BCS theory where the fermionic
scenario takes place.
