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The Ginzburg–Landau Functional
2009Let us describe the mathematical problem. It is naturally posed for domains in \(\mathbb{R}^{3}\), but for cylindrical domains in \(\mathbb{R}^{3}\), it is natural (though not completely justified mathematically) to consider a functional defined in a domain Ω ⊂ \(\mathbb{R}^{3}\), where Ω is the cross-section of the cylinder.
Søren Fournais, Bernard Helffer
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Stationary Ginzburg–Landau Equations
2020Starting with this Chapter, we will consecutively introduce the basic framework which will eventually allow us to present the derivation of time-dependent Ginzburg–Landau equations.
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1997
The London theory (Chap. 2) did not take into account quantum effects. The first quantum (phenomenological) theory of superconductivity was the Ginzburg—Landau (GL) theory [23].
V. V. Schmidt +2 more
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The London theory (Chap. 2) did not take into account quantum effects. The first quantum (phenomenological) theory of superconductivity was the Ginzburg—Landau (GL) theory [23].
V. V. Schmidt +2 more
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Nonadiabatic Landau–Zener–Stückelberg–Majorana transitions, dynamics, and interference
Physics Reports, 2023Oleg V Ivakhnenko +2 more
exaly
Ginzburg–Landau models of nonlinear electric transmission networks
Physics Reports, 2022Emmanuel Kengne
exaly
SCATTERING OF GINZBURG–LANDAU VORTICES
Journal of Mathematical Sciences, 2022openaire +2 more sources
Fractional Ginzburg-Landau Equation
2010Complex Ginzburg-Landau equation (Aranson and Kramer, 2002) is one of the most-studied equations in physics. This equation describes a lot of phenomena including nonlinear waves, second-order phase transitions, and superconductivity. We note that the Ginzburg-Landau equation can be used to describe the evolution of amplitudes of unstable modes for any ...
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