nonstationary superconductivity: quantum dissipation and time-dependent ginzburg-landau equation
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2011
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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 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.
| Reference Key |
barybin2011advancesnonstationary
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|---|---|
| Authors | ;Anatoly A. Barybin |
| Journal | majallah-i ̒ulum-i bāghbānī |
| Year | 2011 |
| DOI |
10.1155/2011/425328
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