Pubblicazioni

Autori:

Baldo, Sisto; R. L., Jerrard; Orlandi, Giandomenico; H. M., Soner

Titolo:

Vortex density models for Superconductivity and Superfluidity

Anno:

2013

Tipologia prodotto:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Lingua:

Inglese

Formato:

A Stampa

Referee:

Sì

Nome rivista:

Communications in Mathematical Physics

ISSN Rivista:

0010-3616

N° Volume:

318

Numero o Fascicolo:

1

Editore:

Springer

Intervallo pagine:

131-171

Parole chiave:

superconductivity; Bose-Einstein condensation; vortices

Breve descrizione dei contenuti:

We study some functionals that describe the density of vortex lines in superconductors subject to an applied magnetic field, and in Bose-Einstein condensates subject to rotational forcing, in quite general domains in 3 dimensions. These functionals are derived from more basic models via Gamma-convergence, here and in the companion paper (Baldo et al. in Arch Rat Mech Anal 205(3):699–752, 2012). In our main results, we use these functionals to obtain leading order descriptions of the first critical applied magnetic field (for superconductors) and forcing (for Bose-Einstein), above which ground states exhibit nontrivial vorticity, as well as a characterization of the vortex density in terms of a non local vector-valued generalization of the classical obstacle problem.

Pagina Web:

http://link.springer.com/article/10.1007/s00220-012-1629-2

Id prodotto:

76561

Handle IRIS:

11562/532949

depositato il:

18 marzo 2013

ultima modifica:

15 novembre 2022

Citazione bibliografica:

Baldo, Sisto; R. L., Jerrard; Orlandi, Giandomenico; H. M., Soner, Vortex density models for Superconductivity and Superfluidity «Communications in Mathematical Physics» , vol. 318 , n. 1 , 2013 , pp. 131-171

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