Exact analytical solution of a classical problem of the Josephson tunnel junction
We present the exact and complete analytical solution of the classical problem of the Josephson tunnel junction of arbitrary length W ∈ (0, ∞) in the presence of externally applied magnetic fields and transport currents. Contrary to a wide-spread belief, the exact analytical solution unambiguously p...
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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2010 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/117528 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exact analytical solution of a classical problem of the Josephson tunnel junction / S.V. Kuplevakhsky, A.M. Glukhov // Физика низких температур. — 2010. — Т. 36, № 10-11. — С. 1253–1263. — Бібліогр.: 26 назв. — англ. |
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Kuplevakhsky, S.V. Glukhov, A.M. 2017-05-24T05:29:17Z 2017-05-24T05:29:17Z 2010 Exact analytical solution of a classical problem of the Josephson tunnel junction / S.V. Kuplevakhsky, A.M. Glukhov // Физика низких температур. — 2010. — Т. 36, № 10-11. — С. 1253–1263. — Бібліогр.: 26 назв. — англ. 0132-6414 PACS: 74.50.+r, 03.75.Lm, 02.30.Oz https://nasplib.isofts.kiev.ua/handle/123456789/117528 We present the exact and complete analytical solution of the classical problem of the Josephson tunnel junction of arbitrary length W ∈ (0, ∞) in the presence of externally applied magnetic fields and transport currents. Contrary to a wide-spread belief, the exact analytical solution unambiguously proves the absence of any qualitative difference between the so-called «small» (W << 1) and «large» junctions (W >> 1). Another unexpected physical implication of the exact analytical solution is the existence (in the current-carrying state) of unquantized Josephson vortices carrying fractional flux and located near one of the junction's edges. We also refine on the mathematical definition of critical transport current. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Quantum coherent effects in superconductors and normal metals Exact analytical solution of a classical problem of the Josephson tunnel junction Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| spellingShingle |
Exact analytical solution of a classical problem of the Josephson tunnel junction Kuplevakhsky, S.V. Glukhov, A.M. Quantum coherent effects in superconductors and normal metals |
| title_short |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_full |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_fullStr |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_full_unstemmed |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_sort |
exact analytical solution of a classical problem of the josephson tunnel junction |
| author |
Kuplevakhsky, S.V. Glukhov, A.M. |
| author_facet |
Kuplevakhsky, S.V. Glukhov, A.M. |
| topic |
Quantum coherent effects in superconductors and normal metals |
| topic_facet |
Quantum coherent effects in superconductors and normal metals |
| publishDate |
2010 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We present the exact and complete analytical solution of the classical problem of the Josephson tunnel junction of arbitrary length W ∈ (0, ∞) in the presence of externally applied magnetic fields and transport currents. Contrary to a wide-spread belief, the exact analytical solution unambiguously proves the absence of any qualitative difference between the so-called «small» (W << 1) and «large» junctions (W >> 1). Another unexpected physical implication of the exact analytical solution is the existence (in the current-carrying state) of unquantized Josephson vortices carrying fractional flux and located near one of the junction's edges. We also refine on the mathematical definition of critical transport current.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/117528 |
| citation_txt |
Exact analytical solution of a classical problem of the Josephson tunnel junction / S.V. Kuplevakhsky, A.M. Glukhov // Физика низких температур. — 2010. — Т. 36, № 10-11. — С. 1253–1263. — Бібліогр.: 26 назв. — англ. |
| work_keys_str_mv |
AT kuplevakhskysv exactanalyticalsolutionofaclassicalproblemofthejosephsontunneljunction AT glukhovam exactanalyticalsolutionofaclassicalproblemofthejosephsontunneljunction |
| first_indexed |
2025-12-07T13:34:19Z |
| last_indexed |
2025-12-07T13:34:19Z |
| _version_ |
1850856659107184640 |