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Article overview
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On Stability of Abrikosov Lattices | Israel Michael Sigal
; Tim Tzaneteas
; | Date: |
25 Aug 2013 | Abstract: | We consider Abrikosov-type vortex lattice solutions of the Ginzburg-Landau
equations of superconductivity, for magnetic fields close to the second
critical magnetic field and for superconductors filling the entire space. We
study stability of such solutions within the context of the time-dependent
Ginzburg-Landau equations - the Gorkov-Eliashberg-Schmid equations. For
arbitrary lattice shapes, we prove that there exists a modular function
depending on the lattice shape such that Abrikosov vortex lattice solutions are
asymptotically stable under finite energy perturbations (defined precisely in
the text), provided the superconductor is of Type II and this function is
positive, and unstable otherwise. | Source: | arXiv, 1308.5446 | Services: | Forum | Review | PDF | Favorites |
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