Physics – Condensed Matter – Superconductivity
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992azh....69..902s&link_type=abstract
Astronomicheskij Zhurnal (ISSN 0004-6299), vol. 69, no. 4, p. 902-905.
Physics
Condensed Matter
Superconductivity
7
Landau-Ginzburg Equations, Magnetic Flux, Sunspots, Superconductivity, Vortices, Astronomical Models, Macroscopic Equations
Scientific paper
It is assumed that a convective zone with sunspots can be considered as a unique analog of a type-II superconductor with the presence of magnetic vortices. The mathematical formalism of Ginzburg and Landau is used to describe superconductivity, and a particular form of the Lagrangian is proposed for modeling macrophenomena. Although its physical content is different from that used in microphysics, the fundamental topological properties implied by both models are identical. It is demonstrated that the sunspot's umbra is analogous to the core of a superconductor vortex, and the penumbra has its counterpart in the vortex region, where the 'supercurrent' flows. It is also shown that the total magnetic flux of stable sunspots can have discrete values only.
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