The frozen-field approximation and the Ginzburg-Landau equations of superconductivity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2000
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| _version_ | 1866917022499078144 |
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| author | Kaper, H. G. Nordborg, H. |
| author_facet | Kaper, H. G. Nordborg, H. |
| contents | The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis that the GL model reduces to the frozen-field model when the charge of the Cooper pairs (the superconducting charge carriers) goes to zero while the applied field stays near the upper critical field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0007092 |
| institution | arXiv |
| publishDate | 2000 |
| record_format | arxiv |
| spellingShingle | The frozen-field approximation and the Ginzburg-Landau equations of superconductivity Kaper, H. G. Nordborg, H. Numerical Analysis 65M12, 82D55; 35K55 The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis that the GL model reduces to the frozen-field model when the charge of the Cooper pairs (the superconducting charge carriers) goes to zero while the applied field stays near the upper critical field. |
| title | The frozen-field approximation and the Ginzburg-Landau equations of superconductivity |
| topic | Numerical Analysis 65M12, 82D55; 35K55 |
| url | https://arxiv.org/abs/math/0007092 |