Phenomenological approach to nonlinear transient phenomena in superconductors. [Ginzburg-Landau theory]

Journal Article · Thu Jul 01 04:00:00 EDT 1976 · Sov. Phys. - Solid State (Engl. Transl.); (United States)

OSTI ID:7342048

Kupriyanov, M Y; Likharev, K K

A simple generalization of the Ginzburg-Landau equations to the transient case is used in a calculation of the characteristics of nonlinear transient phenomena as a function of a single parameter of these equations U, defined as the ratio of the relaxation time of the order parameter to the relaxation time of the current. Graphs are given for the determination of U from experimentally found quantities. The experimental data on homogeneous relaxation of the order parameter ..delta.. are used to show that Uapproximately-greater-than200. The data on the processes in which ..delta.. varies over distances of the order of xi (such as motion of vortices in superconductors, fluctuations, current-voltage characteristic of a S-N boundary) give the value Uapprox. =12. It is concluded that in describing the processes in which ..delta.. varies over distances approx.xi, the correct microscopic theory should give the same values of the quantities as those found by calculation involving simple generalization of the Ginzburg-Landau equations to a transient case with the parameter Uapprox. =12. In the absence of a rigorous theory of transient processes at temperatures Tapproximately-less-thanT/sub c/ it is possible to use the system of equations derived in the present paper with Uapprox. =12. These equations are employed to estimate the influence of motion of magnetic flux quanta frozen in the walls of a superconducting resonator on the resonator Q factor. (AIP)

• Research Organization: Institute of Radio Engineering, Electronics, and Automation, Moscow
• OSTI ID: 7342048
• Journal Information: Sov. Phys. - Solid State (Engl. Transl.); (United States), Journal Name: Sov. Phys. - Solid State (Engl. Transl.); (United States) Vol. 18:7; ISSN SPSSA
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ENERGY GAP
GINZBURG-LANDAU THEORY
MAGNETIC FLUX
RELAXATION
SUPERCONDUCTORS
TRANSIENTS