Numerical investigation of the magnetic flux static distributions in layered josephson junctions
Effective numerical algorithms are worked out for solving the nolinearsystem of ODE for finding the static distributions of the magnetic flux inN-stacked JJs, as well as the corresponding matrix Sturm-Liouville problemfor studying their global stability. The particular case of three stacked JJs isin...
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Format: | Article |
Language: | English |
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MULTIPHYSICS
2016-04-01
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Series: | International Journal of Multiphysics |
Online Access: | http://journal.multiphysics.org/index.php/IJM/article/view/102 |
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author | I Hristov S Dimova T Boyadjiev |
author_facet | I Hristov S Dimova T Boyadjiev |
author_sort | I Hristov |
collection | DOAJ |
description | Effective numerical algorithms are worked out for solving the nolinearsystem of ODE for finding the static distributions of the magnetic flux inN-stacked JJs, as well as the corresponding matrix Sturm-Liouville problemfor studying their global stability. The particular case of three stacked JJs isinvestigated. A correspondence is made between loss of stability of apossible static distribution of the magnetic flux, obtained by solving thestatic problem, and the switching to dynamic state obtained by solving thedynamic problem. In this work we show by means of numerical simulationthat the transient process of switching from static to dynamic state insymmetric three stacked JJs depends on the way of exceeding theexternal current. |
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format | Article |
id | doaj.art-2832b3cc40e34987a09429f360bd041d |
institution | Directory Open Access Journal |
issn | 1750-9548 2048-3961 |
language | English |
last_indexed | 2024-03-12T10:16:33Z |
publishDate | 2016-04-01 |
publisher | MULTIPHYSICS |
record_format | Article |
series | International Journal of Multiphysics |
spelling | doaj.art-2832b3cc40e34987a09429f360bd041d2023-09-02T10:24:57ZengMULTIPHYSICSInternational Journal of Multiphysics1750-95482048-39612016-04-013310.1260/175095409788922266120Numerical investigation of the magnetic flux static distributions in layered josephson junctionsI Hristov0S Dimova1T Boyadjiev2Faculty of Mathematics and Informatics, University of Sofia 5 James Bourchier Blvd, 1164 Sofia, BulgariaFaculty of Mathematics and Informatics, University of Sofia 5 James Bourchier Blvd, 1164 Sofia, BulgarFaculty of Mathematics and Informatics, University of Sofia 5 James Bourchier Blvd, 1164 Sofia, BulgariaEffective numerical algorithms are worked out for solving the nolinearsystem of ODE for finding the static distributions of the magnetic flux inN-stacked JJs, as well as the corresponding matrix Sturm-Liouville problemfor studying their global stability. The particular case of three stacked JJs isinvestigated. A correspondence is made between loss of stability of apossible static distribution of the magnetic flux, obtained by solving thestatic problem, and the switching to dynamic state obtained by solving thedynamic problem. In this work we show by means of numerical simulationthat the transient process of switching from static to dynamic state insymmetric three stacked JJs depends on the way of exceeding theexternal current.http://journal.multiphysics.org/index.php/IJM/article/view/102 |
spellingShingle | I Hristov S Dimova T Boyadjiev Numerical investigation of the magnetic flux static distributions in layered josephson junctions International Journal of Multiphysics |
title | Numerical investigation of the magnetic flux static distributions in layered josephson junctions |
title_full | Numerical investigation of the magnetic flux static distributions in layered josephson junctions |
title_fullStr | Numerical investigation of the magnetic flux static distributions in layered josephson junctions |
title_full_unstemmed | Numerical investigation of the magnetic flux static distributions in layered josephson junctions |
title_short | Numerical investigation of the magnetic flux static distributions in layered josephson junctions |
title_sort | numerical investigation of the magnetic flux static distributions in layered josephson junctions |
url | http://journal.multiphysics.org/index.php/IJM/article/view/102 |
work_keys_str_mv | AT ihristov numericalinvestigationofthemagneticfluxstaticdistributionsinlayeredjosephsonjunctions AT sdimova numericalinvestigationofthemagneticfluxstaticdistributionsinlayeredjosephsonjunctions AT tboyadjiev numericalinvestigationofthemagneticfluxstaticdistributionsinlayeredjosephsonjunctions |