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Macroscopic Models for Superconductivity
Author(s) -
S. Jonathan Chapman,
Sam Howison,
J. R. Ockendon
Publication year - 1992
Publication title -
siam review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.683
H-Index - 120
eISSN - 1095-7200
pISSN - 0036-1445
DOI - 10.1137/1034114
Subject(s) - superconductivity , range (aeronautics) , theoretical physics , statistical physics , phase (matter) , physics , materials science , condensed matter physics , quantum mechanics , composite material
This paper reviews the derivation of some macroscopic models for superconductivity and also some of the mathematical challenges posed by these models. The paper begins by exploring certain analogies between phase changes in superconductors and those in solidification and melting. However, it is soon found that there are severe limitations on the range of validity of these analogies and outside this range many interesting open questions can be posed about the solutions to the macroscopic models.

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