Gauge invariance and asymptotic behavior for the Ginzburg-Landau equations of superconductivity

Berti, V. ; Fabrizio, M. ; Giorgi, C. (2005) Gauge invariance and asymptotic behavior for the Ginzburg-Landau equations of superconductivity. [Preprint]
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Abstract

In this paper we study the gauge-invariance of the time-dependent Ginzburg Landau equations through the introduction of a model which uses observable variables. Since different choices of gauge lead to a different representation of such variables, the classical formulations of the Ginzburg Landau model do not allow to establish the property of gauge-invariance. With a suitable decomposition of the unknown fields, we write the problem in terms of real variables and deduce some energy estimates which prove the existence of a maximal attractor for the system.

Abstract
Document type
Preprint
Creators
CreatorsAffiliationORCID
Berti, V.
Fabrizio, M.
Giorgi, C.
Keywords
Superconductivity, gauge-invariance, global attractor
Subjects
DOI
Deposit date
31 Jan 2005
Last modified
16 May 2011 11:37
URI

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