The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem
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چکیده
منابع مشابه
Determining Nodes for the Ginzburg-landau Equations of Superconductivity
It is shown that a solution of the time-independent Ginzburg-Landau equations of superconductivity is determined completely and exactly by its values at a nite but suuciently dense set of determining nodes in the domain. If the applied magnetic eld is time dependent and asymptotically stationary, the large-time asymptotic behavior of a solution of the time-dependent Ginzburg-Landau equations of...
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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 conngurations are obtained as large-time asymptotic limits of solutions of the time-dependent Ginzburg-Landau equations.
متن کاملThe Ginzburg-Landau Equations for Superconductivity with Random Fluctuations
Thermal fluctuations and material inhomogeneities have a large effect on superconducting phenomena, possibly inducing transitions to the non-superconducting state. To gain a better understanding of these effects, the Ginzburg–Landau model is studied in situations for which the described physical processes are subject to uncertainty. An adequate description of such processes is possible with the...
متن کاملOn the solutions of the one dimensional Ginzburg-Landau equations for superconductivity
This paper gives a complete description of the solutions of the one dimensional Ginzburg-Landau equations which model superconductivity phenomena in infinite slabs. We investigate this problem over the entire range of physically important parameters: a the size of the slab, κ the Ginzburg-Landau parameter, and h0, the exterior magnetic field. We do extensive numerical computations using the sof...
متن کاملAsymptotic Analysis of a Secondary Bifurcation of the One-Dimensional Ginzburg-Landau Equations of Superconductivity
The bifurcation of asymmetric superconducting solutions from the normal solution is considered for the one-dimensional Ginzburg–Landau equations by the methods of formal asymptotics. The behavior of the bifurcating branch depends on the parameters d, the size of the superconducting slab, and κ, the Ginzburg–Landau parameter. The secondary bifurcation in which the asymmetric solution branches re...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 1998
ISSN: 0294-1449
DOI: 10.1016/s0294-1449(98)80122-4