Nonstationary Superconductivity : Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation
Author
Source
Advances in Condensed Matter Physics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 potential μs 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 parameters τGL and ξGL, (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-Tc and high-Tc superconductors.
American Psychological Association (APA)
Barybin, Anatoly A.. 2011. Nonstationary Superconductivity : Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation. Advances in Condensed Matter Physics،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-471175
Modern Language Association (MLA)
Barybin, Anatoly A.. Nonstationary Superconductivity : Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation. Advances in Condensed Matter Physics No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-471175
American Medical Association (AMA)
Barybin, Anatoly A.. Nonstationary Superconductivity : Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation. Advances in Condensed Matter Physics. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-471175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471175