Abstract:
A system of kinetic equations that describe the relaxation of the nonequilibrium system of electron excitations and phonons in a superconductor is obtained. It is shown that the complete system of equations in the weak-coupling approximation and the spatially homogeneous case includes, besides the kinetic equations for the electron excitations and phonons, a system of integral equations for the nonequilibrium energy gap and the energy renormalization function; these have the form of Eliashberg's equations.
Citation:
V. G. Bar'yakhtar, N. N. Bychkova, V. P. Seminozhenko, “Kinetic equations for electron excitations and phonons in a superconductor”, TMF, 38:2 (1979), 251–262; Theoret. and Math. Phys., 38:2 (1979), 166–174
\Bibitem{BarBycSem79}
\by V.~G.~Bar'yakhtar, N.~N.~Bychkova, V.~P.~Seminozhenko
\paper Kinetic equations for electron excitations and phonons in a~superconductor
\jour TMF
\yr 1979
\vol 38
\issue 2
\pages 251--262
\mathnet{http://mi.mathnet.ru/tmf2711}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 38
\issue 2
\pages 166--174
\crossref{https://doi.org/10.1007/BF01016838}
Linking options:
https://www.mathnet.ru/eng/tmf2711
https://www.mathnet.ru/eng/tmf/v38/i2/p251
This publication is cited in the following 14 articles:
E. P. Pokatilov, V. M. Fomin, “Cooper pairing in multilayer polar structures”, Theoret. and Math. Phys., 96:3 (1993), 1069–1078
Yu. M. Poluéktov, “On the dynamics of two-band superconductors”, Soviet Journal of Low Temperature Physics, 17:2 (1991), 85
V. G. Bar'yakhtar, V. N. Kostur, S. E. Shafranyuk, “Kinetic equations for electron excitations and heavy fermions”, Theoret. and Math. Phys., 82:2 (1990), 194–200
V.G. Bar'yakhtar, V.N. Kostur, S.E. Shafranjuk, “Kinetic equations for electron and heavy fermion excitations”, Physics Letters A, 151:6-7 (1990), 330
V. N. Kostur, V. P. Seminozhenko, S. E. Shafranyuk, “Phonon generation in Dayem–Martin effect”, Soviet Journal of Low Temperature Physics, 14:2 (1988), 64
I. N. Nechiporenko, “Relaxation of nonuniform states in type-I superconductors”, Soviet Journal of Low Temperature Physics, 13:4 (1987), 201
V. G. Valeev, Yu. A. Kukharenko, “Collisional relaxation of the order parameter in superconductors”, Soviet Journal of Low Temperature Physics, 11:8 (1985), 455
V. G. Bar'yakhtar, V. P. Seminozhenko, S. E. Shafranyuk, “Influence of nonequilibrium phonons on the energy gap of superconductors”, Soviet Journal of Low Temperature Physics, 10:2 (1984), 85
S. E. Shafranyuk, “Theory of phonon generation in superconductors with absorption of a high-frequency electromagnetic field”, Soviet Journal of Low Temperature Physics, 10:5 (1984), 244
V. P. Seminozhenko, S. E. Shafranyuk, “Nonequilibrium phenomena in superconductors with single-particle tunneling in the presence of an ac voltage on the tunnel junction”, Soviet Journal of Low Temperature Physics, 10:3 (1984), 141
V. P. Seminozhenko, V. L. Sobolev, A. A. Yatsenko, “Kinetic theory of parametric excitation of spin waves in the case of parallel pumping”, Theoret. and Math. Phys., 52:3 (1982), 907–913
V. P. Seminozhenko, A. A. Yatsenko, “Kinetics of systems in strong alternating fields”, Theoret. and Math. Phys., 47:2 (1981), 457–464
V.P. Seminozhenko, V.L. Sobolev, “Magnon kinetic equations for ferromagnets parametrically excited by intense HF sound”, Physics Letters A, 75:4 (1980), 311
I. K. Kirichenko, V. E. Novikov, V. P. Seminozhenko, V. L. Shestopalov, “Nonequilibrium superconductor states in the case of “narrow” nonequilibrium sources”, Soviet Journal of Low Temperature Physics, 6:5 (1980), 274
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