Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation. (10th January 2011)

• Record Type: Journal Article
• Authors: Barybin, Anatoly A.
• Other Names: Moshchalkov Victor V. Academic Editor.
• Is Part Of: Advances in condensed matter physics. Volume 2011(2011)
• Publication Date: 2011-01-10
• Subjects: Condensed matter -- Periodicals; Condensed matter; Periodicals; 530.41
• DOI: 10.1155/2011/425328
• Languages: English
• ISSNs: 1687-8124

Abstract

Abstract : Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter) by using the well-known Madelung-Feynman approach to representation of the quantum-mechanical equations in hydrodynamic form. Such an approach has given (a) three different contributions to the resulting chemical potentialμ s for the superfluid component, (b) a general hydrodynamic equation of superfluid motion, (c) the continuity equation for superfluid flow with a relaxation term involving the phenomenological parametersτ GL andξ GL, (d) a new version of the time-dependent Ginzburg-Landau equation for the modulus of the order parameter which takes into account dissipation effects and reflects the charge conservation property for the superfluid component. The conventional Ginzburg-Landau equation also follows from our continuity equation as a particular case of stationarity. All the results obtained are mutually consistent within the scope of the chosen phenomenological description and, being model-neutral, applicable to both the low-T c and high-T c superconductors.