Coordinate transformation in the model of long Josephson junctions: geometrically equivalent Josephson junctions

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dc.creatorSemerdzhieva, E. G.
dc.creatorBoyadjiev, T. L.
dc.creatorShukrinov, Yu. M.
dc.date2006-03-16
dc.date.accessioned2026-07-07T07:04:46Z
dc.date.available2026-07-07T07:04:46Z
dc.descriptionThe transition from the model of a long Josephson junction of variable width to the model of a junction with a coordinate-dependent Josephson current amplitude is effected through a coordinate transformation. This establishes the correspondence between the classes of Josephson junctions of variable width and quasi-one-dimensional junctions with a variable thickness of the barrier layer. It is shown that for a junction of exponentially varying width the barrier layer of the equivalent quasi-one-dimensional junction has a distributed resistive inhomogeneity that acts as an attractor for magnetic flux vortices. The curve of the critical current versus magnetic field for a Josephson junction with a resistive microinhomogeneity is constructed with the aid of a numerical simulation, and a comparison is made with the critical curve of a junction of exponentially varying width. The possibility of replacing a distributed inhomogeneity in a Josephson junction by a local inhomogeneity at the end of the junction is thereby demonstrated; this can have certain advantages from a technological point of view.
dc.description9 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0603439
dc.identifierhttp://arxiv.org/abs/cond-mat/0603439
dc.identifierFiz.Nizk. Temp., 31 (2005) 1110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109436
dc.subjectSuperconductivity
dc.subjectMaterials Science
dc.titleCoordinate transformation in the model of long Josephson junctions: geometrically equivalent Josephson junctions
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