1. New Scaling Laws for Pinning Force Density in Superconductors.
- Author
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Talantsev, Evgueni F.
- Subjects
FLUX pinning ,FORCE density ,SUPERCONDUCTORS ,FAULT current limiters ,HIGH temperature superconductors ,MAGNETIC flux density - Abstract
Since the report by Fietz and Webb (Phys. Rev.1968, 178, 657–667), who considered the pinning force density, F p → = J c → × B → (where J
c is the critical current density and B is applied magnetic flux density), in isotropic superconductors as a unique function of reduced magnetic field, B B c 2 (where B c 2 is the upper critical field), F p → has been scaled based on the B B c 2 ratio, for which there is a widely used Kramer–Dew–Hughes scaling law of F p → B = F p , m a x B B c 2 p 1 − B B c 2 q , where F p , m a x , B c 2 , p, and q are free-fitting parameters. To describe F p → B in high-temperature superconductors, the Kramer–Dew–Hughes scaling law has been modified by (a) an assumption of the angular dependence of all parameters and (b) by the replacement of the upper critical field, Bc2 , by the irreversibility field, Birr . Here, we note that F p → is also a function of critical current density, and thus, the F p → J c scaling law should exist. In an attempt to reveal this law, we considered the full F p → B , J c function and reported that there are three distinctive characteristic ranges of B B c 2 , J c J c s f (where J c s f is the self-field critical current density) on which F p → B , J c can be splatted. Several new scaling laws for F p → J c were proposed and applied to MgB2 , NdFeAs(O,F), REBCO, (La,Y)H10 , and YH6 . The proposed scaling laws describe the in-field performance of superconductors at low and moderate magnetic fields, and thus, the primary niche for these laws is superconducting wires and tapes for cables, fault current limiters, and transformers. [ABSTRACT FROM AUTHOR]- Published
- 2022
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