VTechWorks staff will be away for the winter holidays starting Tuesday, December 24, 2024, through Wednesday, January 1, 2025, and will not be replying to requests during this time. Thank you for your patience, and happy holidays!
 

On the Lawrence-Doniach and Anisotropic Ginzburg-Landau models for layered superconductors

Simple item page
dc.contributorVirginia Techen
dc.contributor.authorChapman, S. Jonathanen
dc.contributor.authorDu, Qiangen
dc.contributor.authorGunzburger, Max D.en
dc.date.accessed2014-05-27en
dc.date.accessioned2014-05-28T18:34:59Zen
dc.date.available2014-05-28T18:34:59Zen
dc.date.issued1995-02en
dc.description.abstractThe authors consider two models, the Lawrence-Doniach and the anisotropic Ginzburg-Landau models for layered superconductors such as the recently discovered high-temperature superconductors. A mathematical description of both models is given and existence results for their solution are derived. The authors then relate the two models in the sense that they show that as the layer spacing tends to zero, the Lawrence-Doniach model reduces to the anisotropic Ginzburg-Landau model. Finally, simplified versions of the models are derived that can be used to accurately simulate high-temperature superconductors.en
dc.description.sponsorshipDOE DE-FG02-93ER25172, DE-FG05-93ER25175en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationChapman, S. J.; Du, Q.; Gunzburger, M. D., "On the Lawrence-Doniach and Anisotropic Ginzburg-Landau models for layered superconductors," SIAM J. Appl. Math., 55(1), 156-174, (1995). DOI: 10.1137/s0036139993256837en
dc.identifier.doihttps://doi.org/10.1137/s0036139993256837en
dc.identifier.issn0036-1399en
dc.identifier.urihttp://hdl.handle.net/10919/48129en
dc.identifier.urlhttp://epubs.siam.org/doi/abs/10.1137/S0036139993256837en
dc.language.isoen_USen
dc.publisherSiam Publicationsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectsuperconductivityen
dc.subjectlawrence-doniach modelen
dc.subjectginzburg-landau equationsen
dc.subjectlayered superconductorsen
dc.subjectlower critical-fielden
dc.subjectscaling approachen
dc.subjectmathematics, applieden
dc.titleOn the Lawrence-Doniach and Anisotropic Ginzburg-Landau models for layered superconductorsen
dc.title.serialSiam Journal on Applied Mathematicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
s0036139993256837.pdf
Size:
1.58 MB
Format:
Adobe Portable Document Format
Description:
Main article
Download

Collections

Scholarly Works, Center for the Mathematics of Biosystems