Pregled bibliografske jedinice broj: 428842
A result on the phase diagram of a Ginzburg-Landau problem
A result on the phase diagram of a Ginzburg-Landau problem // HIT Journal of Science and Engineering, 1 (2004), 23-40 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
A result on the phase diagram of a Ginzburg-Landau problem
Autori
Dutour, Mathieu
Izvornik
HIT Journal of Science and Engineering (1565-4990) 1
(2004);
23-40
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Phase diagram ; upper bound ; variational problem
Sažetak
We study mathematically the Abrikosov [JETP Lett. 32, 1174 (1957)] modelization of superconductors, which use the Ginzburg-Landau phenomenological theory. We first prove the qualitative shape of the phase diagram, which is found in the physical literature (M. Tinkham, 1996 ; C. Kittel, 1996 ; D. Saint-James, G. Sarma, and E.J. Thomas, 1969 ; P.G. de Gennes, 1966). We then study in detail the special case, when the critical Ginzburg Landau parameter k is equal to 1/√ 2. This allows us to prove that the critical magnetic field Hc1(k) is strictly decreasing at k=1/√ 2.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
