NDLI: A Microscopic Model of Superconductor Stability

Content Provider	Springer Nature Link
Author	Reiss, Harald
Copyright Year	2012
Abstract	The ratio J $_{Crit}$[T(x,y,t)]/J $_{Crit}$[T(x,y,t $_{0}$)] of critical current densities (t $_{0}$ indicating start of a disturbance) integrated over sample cross section serves to calculate the “stability function”, Φ(t), to predict under which conditions zero-loss transport current is possible. Critical current density and stability function are correlated with (conventional) timescale, t, in the superconductor (the “phonon aspect”). However, the stability problem is not simply restricted to coupled conduction/radiation heat transfer. It is questionable whether decay of electron pairs and subsequent recombination of excited electron states to a new dynamic equilibrium (the “electron aspect” under a disturbance) proceeds on the same timescale. A sequential model has been defined to calculate lifetimes of the excited electron states. These are estimated from analogy to the nucleon–nucleon, pion-mediated Yukawa interaction, from an aspect of the Racah-problem (expansion of an antisymmetric N-particle wave function from a N−1 parent state) and from the uncertainty principle, all in dependence of the local (transient) temperature field; with these approximations, the sequential model accounts for the retarded electron–phonon interaction. The numerical analysis is applied to NbTi and YBaCuO filaments in a standard matrix. As a result, the difference between both timescales can be significant, in particular near the phase transition: in the NbTi filament, a minimum distance of at least 60 μm (in this example) from the location of a disturbance should be observed for reliable stability analysis. This difference could have consequences also for safe operation of a resistive fault current limiter.
Starting Page	593
Ending Page	617
Page Count	25
File Format	PDF
ISSN	15571939
Journal	Journal of Superconductivity and Novel Magnetism
Volume Number	26
Issue Number	3
e-ISSN	15571947
Language	English
Publisher	Springer US
Publisher Date	2012-12-14
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Superconductor Dynamic equilibrium Decay of excited states Boson-mediated interaction Retardation Time-of-flight concept Stability Current limiter Strongly Correlated Systems, Superconductivity Magnetism, Magnetic Materials Condensed Matter Physics Characterization and Evaluation of Materials
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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