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25 April 2024 |
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Magnetic Vortices, Abrikosov Lattices and Automorphic Functions | | Israel Michael Sigal
; | | Date: |
25 Aug 2013 | | Abstract: | We address the macroscopic theory of superconductivity - the Ginzburg-Landau
theory. This theory %Macroscopic theory of superconductivity is based on the
celebrated Ginzburg - Landau equations. First developed to explain and predict
properties of superconductors, these equations form an integral part -
Abelean-Higgs component - of the standard model of particle physics and, in
general, have a profound influence on physics well beyond their original
designation area. %These are a pair of coupled nonlinear equations for a
complex function (called order parameter or Higgs field) and a vector field
(magnetic potential or gauge field). They are the simplest representatives of a
large family of equations appearing in physics and mathematics. (The latest
variant of these equations is the Seiberg - Witten equations.) | | Source: | arXiv, 1308.5440 | | Services: | Forum | Review | PDF | Favorites | |
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