Critical currents in Josephson junctions with microinhomogeneities attracting solitons

Филиппов, А. Т.; Gal'pern, Yu.S.; Boyadjiev, T. L.; Пузынин, И.В.

doi:10.1016/0375-9601(87)90262-3

Cited by 14 publications

(12 citation statements)

References 4 publications

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“…Referring to real systems, we observe that the effect of spatial inhomogeneities is central to the properties of long Josephson junctions. One of the present authors (A.T.F) has worked intensively on the formation of stable bound states of fluxons in inhomogeneous long Josephson junctions Filipov 1982, 1984;Filipov and Gal'pern 1983;Filipov et al 1987). The predicted bound fluxons have been observed experimentally (Vystavkin et al 1988).…”

Section: Introductionmentioning

confidence: 68%

Stochasticity in the Josephson map

1996

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The Josephson map describes the nonlinear dynamics of systems characterized by the standard map with a uniform external bias superposed. The intricate structures of the phase-space portrait of the Josephson map are examined here on the basis of the associated tangent map. A numerical investigation of stochastic diffusion in the Josephson map is compared with the renormalized diffusion coefficient calculated using the characteristic function. The global stochasticity of the Josephson map occurs at far smaller values of the stochastic parameter than is the case of the standard map.

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Section: Introductionmentioning

confidence: 68%

Stochasticity in the Josephson map

1996

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“…A Josephson junction model that takes into account the influence of the shape in the xy plane was considered in Refs. [1,2,3]. For a model junction with generatrices that vary by an exponential law [2,3] (see Fig.…”

Section: Statement Of the Problemmentioning

confidence: 99%

Static vortices in long Josephson junctions of exponentially varying width

Semerdjieva

Boyadjiev

Shukrinov

2004

Low Temperature Physics

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Experimental estimation of the hot spot size in Nb-based Josephson tunnel junctions using Abrikosov vortices A numerical simulation is carried out for static vortices in a long Josephson junction with an exponentially varying width. At specified values of the parameters the corresponding boundary-value problem admits more than one solution. Each solution ͑distribution of the magnetic flux in the junction͒ is associated to a Sturm-Liouville problem, the smallest eigenvalue of which can be used, in a first approximation, to assess the stability of the vortex against relatively small spatiotemporal perturbations. The change in width of the junction leads to a renormalization of the magnetic flux in comparison with the case of a linear onedimensional model. The influence of the model parameters on the stability of the states of the magnetic flux is investigated in detail, particularly that of the shape parameter. The critical curve of the junction is constructed from pieces of the critical curves for the different magnetic flux distributions having the highest critical currents for the given magnetic field.

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“…-The static configurations of finite-length junction in the presence of an external magnetic field were studied by many authors. [1,8,9,14,[18][19][20][21]. Particularly, S.Pagano et al [18] for arbitrary junction lengths demonstrated the bifurcation curves of the fluxon states in the three different regimes typically observed: small, intermediate, and long junction.…”

mentioning

confidence: 96%

“…In our previous study we investigated the stability of the vortices in LJJ with inhomogeneities (LJJI) [8,9] and vortex structure in exponentially shaped Josephson junctions (ESJJ). [10][11][12] The obtained bifurcation curves of the mixed fluxon-antifluxon states in LJJI [9] and pure fluxon states in ESJJ demonstrate the intervals of magnetic field, where these states are stable only, if the current through the junction is not equal to zero.…”

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confidence: 99%

Created-by-current states in long Josephson junctions

Boyadjiev,

Andreeva,

Semerdjieva

et al. 2007

Preprint

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Critical curves "critical current -external magnetic field" of long Josephson junctions with inhomogeneity and variable width are studied. We demonstrate the existence of the regions of magnetic field where some fluxon states are stable only, if the external current through the junction is different from zero. Position and size of such regions depend on length of the junction, its geometry, parameters of inhomogeneity and form of the junction. The noncentral (left and right) pure fluxon states are appeared in the inhomogeneous Josephson junction with increase in the junction length. We demonstrate new bifurcation points with change in width of the inhomogeneity and amplitude of the Josephson current through the inhomogeneity.

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Critical currents in Josephson junctions with microinhomogeneities attracting solitons

Cited by 14 publications

References 4 publications

Stochasticity in the Josephson map

Stochasticity in the Josephson map

Static vortices in long Josephson junctions of exponentially varying width

Created-by-current states in long Josephson junctions

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