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An equivalence relation for the Ginzburg-Landau equations of superconductivity

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Abstract.

Gauge invariance is used to establish an equivalence relation between solutions of the time-independent and time-dependent Ginzburg-Landau equations that describe the same physical state of a superconductor. The equivalence relation shows how equilibrium configurations are obtained as large-time asymptotic limits of solutions of the time-dependent Ginzburg-Landau equations.

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Received: May 2, 1996; revised: October 21, 1996

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Kaper, H., Takáč, P. An equivalence relation for the Ginzburg-Landau equations of superconductivity. Z. angew. Math. Phys. 48, 665–675 (1997). https://doi.org/10.1007/s000330050054

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  • DOI: https://doi.org/10.1007/s000330050054

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