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Smooth double critical state theory for type-II superconductors

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journal contribution
posted on 29.05.2020, 13:07 by HS Ruiz, A Badia-Majos
Several aspects of the general theory for the critical states of a vortex lattice and the magnetic flux dynamics in type-II superconductors are examined by a direct variational optimisation method and widespread physical principles. Our method allows to unify a number of conventional models describing the complex vortex configurations in the critical state regime. Special attention is given to the discussion of the relation between the flux-line cutting mechanism and the depinning threshold limitation. This is done by using a smooth double critical state concept which incorporates the so-called isotropic, elliptical, T and CT models as well-defined limits of our general treatment. Starting from different initial configurations for a superconducting slab in a 3D magnetic field, we show that the predictions of the theory range from the collapse to zero of transverse magnetic moments in the isotropic model, to nearly force free configurations in which paramagnetic values can arbitrarily increase with the applied field for magnetically anisotropic current voltage laws. Noteworthily, the differences between the several model predictions are minimal for the low applied field regime.

Funding

This work was supported by the Spanish CICyT project MAT2008-05983-C03-01. H. S. Ruiz acknowledges a grant from the Spanish CSIC-JAE program.

History

Citation

H S Ruiz and A Badía-Majós 2010 Supercond. Sci. Technol. 23 105007

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Engineering

Version

AM (Accepted Manuscript)

Published in

Superconductor Science & Technology

Volume

23

Pagination

105007

Publisher

IOP Publishing

issn

0953-2048

Copyright date

2010

Language

en

Publisher version

https://iopscience.iop.org/article/10.1088/0953-2048/23/10/105007

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