Relaxation of the Order Parameter in the BCS Model

S. V. Iordanskii^a,b,*, R. B. Saptsov^a,**, and E. A. Brener^b

^a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow oblast, 142432 Russia

^b Institut für Festkörperforschung, Jülich, Germany

*e-mail: iordansk@itp.ac.ru

**e-mail: saptsov@itp.ac.ru

Received February 12, 2007

Abstract—Relaxation of the order parameter of a “pure” superconductor due to the electron–phonon interac-
tion is considered in a homogeneous case. The process of relaxation has a simple physical interpretation as the
variation of the number of electrons in Cooper pairs due to excitation collisions accompanied by the absorption
and emission of phonons. It is shown that, in the neighborhood of the critical temperature, the relaxation time
of the modulus of the order parameter is much greater than the time between excitation collisions.

PACS numbers: 74.20.Fg

DOI: 10.1134/S106377610709018X

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