Kinetic equations for relaxation processes in superconducting alloys

The study of time evolution of the generalized “electron-hole” density matrix of the superconductor is continued, taking into account the scattering of electrons on admixtures in “dirty” superconducting alloys. In this case the free run length of the electrons is small as compared with the macroscopic coherence radius of the superconducting electrons. However, according to the Anderson theorem, scattering on nonmagnetic admixtures does not destroy the superconducting correlations. With the aid of the special asymptotic expansions the simplified kinetic equations are constructed, which describe the dynamics of these correlations (as well as the dynamics of the electron excitations) after the relaxation of electrons on admixtures.