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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Main Authors: I Hristov, S Dimova, T Boyadjiev
Format: Article
Language:English
Published: MULTIPHYSICS 2016-04-01
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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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