A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS
A mean-field model for the motion of vortices in a type II superconductor is formulated, drawing on analogies with vortices in an inviscid fluid. The model admits discontinuous solutions, and the conditions on such an interface are derived. In a natural limiting case the model is shown to reduce to...
| Auteur principal: | |
|---|---|
| Format: | Journal article |
| Langue: | English |
| Publié: |
1995
|
| _version_ | 1826291335012810752 |
|---|---|
| author | Chapman, S |
| author_facet | Chapman, S |
| author_sort | Chapman, S |
| collection | OXFORD |
| description | A mean-field model for the motion of vortices in a type II superconductor is formulated, drawing on analogies with vortices in an inviscid fluid. The model admits discontinuous solutions, and the conditions on such an interface are derived. In a natural limiting case the model is shown to reduce to a novel, vectorial nonlinear diffusion equation. Finally, generalizations of the model to incorporate vortex pinning and fluctuation effects are described. |
| first_indexed | 2024-03-07T02:57:53Z |
| format | Journal article |
| id | oxford-uuid:aff1c1e0-301c-4ba9-b8e8-cc57e9b7c0f3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:57:53Z |
| publishDate | 1995 |
| record_format | dspace |
| spelling | oxford-uuid:aff1c1e0-301c-4ba9-b8e8-cc57e9b7c0f32022-03-27T03:52:57ZA MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:aff1c1e0-301c-4ba9-b8e8-cc57e9b7c0f3EnglishSymplectic Elements at Oxford1995Chapman, SA mean-field model for the motion of vortices in a type II superconductor is formulated, drawing on analogies with vortices in an inviscid fluid. The model admits discontinuous solutions, and the conditions on such an interface are derived. In a natural limiting case the model is shown to reduce to a novel, vectorial nonlinear diffusion equation. Finally, generalizations of the model to incorporate vortex pinning and fluctuation effects are described. |
| spellingShingle | Chapman, S A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS |
| title | A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS |
| title_full | A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS |
| title_fullStr | A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS |
| title_full_unstemmed | A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS |
| title_short | A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS |
| title_sort | mean field model of superconducting vortices in 3 dimensions |
| work_keys_str_mv | AT chapmans ameanfieldmodelofsuperconductingvorticesin3dimensions AT chapmans meanfieldmodelofsuperconductingvorticesin3dimensions |