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Vortex pinning in super-conductivity as a rate-independent process

Published online by Cambridge University Press:  28 October 2005

FLORIAN SCHMID  and
ALEXANDER MIELKE
FLORIAN SCHMID
Affiliation:
Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Germany
ALEXANDER MIELKE
Affiliation:
Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin, Germany and Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489 Berlin (Adlershof), Germany email: mielke@wias-berlin.de
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Abstract

For superconductors of type II the phenomenon of vortex pinning plays an important role in technological applications. Several models have been proposed for this effect (Kim et al., 1963; Bean, 1964; Bossavit, 1994). In Du et al. (1999) and Prigozhin (1996), some of these models are analyzed. In this work we want to contribute to the analysis for the two-dimensional, rate-independent model proposed in Chapman (2000), which has the special feature that vortex movement and creation is an activated process occurring only when a threshold value of the magnetic field is reached. For analytical studies of related rate-dependent models we refer to Chapman et al. (1996), Schätzle & Styles (1999) and Elliott & Styles (2000).

Type
Papers
Information
European Journal of Applied Mathematics , Volume 16 , Issue 6 , December 2005 , pp. 799 - 808
Copyright
2005 Cambridge University Press

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Footnotes

Research partially supported by DFG via SFB 404 Multifield Problems in Solid and Fluid Mechanics (TP C7) and by EU via HPRN-CT-2002-00284 Smart Systems: New Materials, Adaptive Systems and their Nonlinearities. Modeling, Control and Numerical Simulation.