Publications

Authors:

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

Title:

Vortex density models for Superconductivity and Superfluidity

Year:

2013

Type of item:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Language:

Inglese

Format:

A Stampa

Referee:

Sì

Name of journal:

Communications in Mathematical Physics

ISSN of journal:

0010-3616

N° Volume:

318

Number or Folder:

1

:

Springer

Page numbers:

131-171

Keyword:

superconductivity; Bose-Einstein condensation; vortices

Short description of contents:

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.

Web page:

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

Product ID:

76561

Handle IRIS:

11562/532949

Deposited On:

March 18, 2013

Last Modified:

November 15, 2022

Bibliographic citation:

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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