Numerical Investigation of a Bifurcation Problem with free Boundaries Arising from the Physics of Josephson Junctions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
1998
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| Acceso en línea: | |
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| _version_ | 1866908599786143744 |
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| author | Todorov, M. D. Boyadjiev, T. L. |
| author_facet | Todorov, M. D. Boyadjiev, T. L. |
| contents | A direct method for calculating the minimal length of ``one-dimensional'' Josephson junctions is proposed, in which the specific distribution of the magnetic flux retains its stability. Since the length of the junctions is a variable quantity, the corresponding nonlinear spectral problem as a problem with free boundaries is interpreted. The obtained results give us warranty to consider as ``long'', every Josephson junction in which there exists at least one nontrivial stable distribution of the magnetic flux for fixed values of all other parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cond_mat_9809297 |
| institution | arXiv |
| publishDate | 1998 |
| record_format | arxiv |
| spellingShingle | Numerical Investigation of a Bifurcation Problem with free Boundaries Arising from the Physics of Josephson Junctions Todorov, M. D. Boyadjiev, T. L. Superconductivity Numerical Analysis Computational Physics A direct method for calculating the minimal length of ``one-dimensional'' Josephson junctions is proposed, in which the specific distribution of the magnetic flux retains its stability. Since the length of the junctions is a variable quantity, the corresponding nonlinear spectral problem as a problem with free boundaries is interpreted. The obtained results give us warranty to consider as ``long'', every Josephson junction in which there exists at least one nontrivial stable distribution of the magnetic flux for fixed values of all other parameters. |
| title | Numerical Investigation of a Bifurcation Problem with free Boundaries Arising from the Physics of Josephson Junctions |
| topic | Superconductivity Numerical Analysis Computational Physics |
| url | https://arxiv.org/abs/cond-mat/9809297 |