Surface Current Approximation in Certain Problems of the Classical Theory of Superconductivity

The problems of the behavior of superconducting infinite plane-parallel plate and cylinder in an external magnetic field are solved in the approximation of the model of surface currents. The latter, in contrast to the conventional notation, enter as the currents of superconducting electrons into the...

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Bibliographic Details
Published in:Russian physics journal 2018-08, Vol.61 (4), p.770-780
Main Authors: Aliev, I. N., Samedova, Z. A.
Format: Article
Language:English
Subjects:
Approximation
BOUNDARY CONDITIONS
Condensed Matter Physics
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CURRENTS
CYLINDERS
ELECTRONS
Hadrons
Heavy Ions
Lasers
LONDON EQUATION
MAGNETIC FIELDS
Magnetic induction
Magnetic permeability
MAGNETIC SUSCEPTIBILITY
MAGNETIZATION
Mathematical analysis
Mathematical and Computational Physics
Nuclear Physics
Optical Devices
Optics
Parallel plates
PENETRATION DEPTH
Photonics
Physics
Physics and Astronomy
PLATES
SUPERCONDUCTIVITY
SUPERCONDUCTORS
Surface layers
SURFACES
Theoretical
THICKNESS
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Summary:The problems of the behavior of superconducting infinite plane-parallel plate and cylinder in an external magnetic field are solved in the approximation of the model of surface currents. The latter, in contrast to the conventional notation, enter as the currents of superconducting electrons into the boundary conditions for the magnetic induction. Surface currents are understood as the volumetric current flowing in the thickness of the near-surface layer, which is associated with the thickness of the London penetration depth of the field and currents into the thickness of the superconductor. It is shown that in this case, a jump in the magnetic quantities occurs at this thickness. The calculated average magnetization of the magnet is reduced to the strength of the external field. The proportionality coefficient, which is reasonable to call the mean magnetic susceptibility, turns out to be not exactly equal to –1, but has a slightly less value, because the field does not weaken immediately. The possibilities of experimental verification of the obtained effect are discussed.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-018-1458-7