Numerical analysis of vortex motion on Josephson structures

Nakajima, Koji; Onodera, Y.; Nakamura, Tadao; Sato, Risaburô

doi:10.1063/1.1663917

Cited by 118 publications

(34 citation statements)

References 14 publications

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“…Furthermore, zero-field current singularities were observed in the junction current-voltage curves that remind of the resonant fluxon motion; however, due to the phase torque induced by the fluxoid quantization that mimic the effect of an external magnetic field, we believe that they are better ascribed to the asymmetric fluxon propagation of Fiske-type resonances, observed in LJTJ. 47 We can now comment on the transverse MDPs in Fig. 8(b) in which drastic I c changes are found but only for negative H Z values.…”

Section: Magnetic Diffraction Patternsmentioning

confidence: 99%

Long Josephson tunnel junctions with doubly connected electrodes

Monaco¹,

Mygind

Koshelets

2012

Phys. Rev. B

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In order to mimic the phase changes in the primordial Big Bang, several cosmological solid-state experiments have been conceived, during the last decade, to investigate the spontaneous symmetry breaking in superconductors and superfluids cooled through their transition temperature. In one of such experiments, the number of magnetic flux quanta spontaneously trapped in a superconducting loop was measured by means of a long Josephson tunnel junction built on top of the loop itself. We have analyzed this system and found a number of interesting features not occurring in the conventional case with simply connected electrodes. In particular, the fluxoid quantization results in a frustration of the Josephson phase, which, in turn, reduces the junction critical current. Further, the possible stable states of the system are obtained by a self-consistent application of the principle of minimum energy. The theoretical findings are supported by measurements on a number of samples having different geometrical configuration. The experiments demonstrate that a very large signal-to-noise ratio can be achieved in the flux quanta detection.

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Section: Magnetic Diffraction Patternsmentioning

confidence: 99%

Long Josephson tunnel junctions with doubly connected electrodes

Monaco¹,

Mygind

Koshelets

2012

Phys. Rev. B

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“…The perturbation considered here is a dissipative term and corresponds to a physically relevant effect in real Josephson junctions [ 11 ].…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions of a damped Sine-Gordon equation in two space variables

1995

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Numerical solutions of the perturbed Sine-Gordon equation in two space variables, arising from a Josephson junction are presented. The method proposed arises from a two-step, one parameter method for the numerical solution of second-order ordinary differential equations. Though implicit in nature, the method is applied explicitly. Global extrapolation in both space and time is used to improve the accuracy. The method is analysed with respect to stability criteria and numerical dispersion. Numerical results are obtained for various cases involving line and ring solitons.

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“…This phenomenon of soliton bunching was observed through numerical simulations beginning with the work [4], and studied extensively during last decade [6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…Discrete and continuum models of the condensed matter exhibit universal nonlinear effects which can manifest themselves in dispersive media such as microstructured solids, macroscopic discrete systems (arrays of Josephson junctions, nonlinear transmission lines and so on), fluids and dissipative-dispersive systems [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Formation of Soliton Complexes in Dispersive Systems

Bogdan¹,

Kosevich²,

Maugin³

1999

Condens. Matter Phys.

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The concept of soliton complex in a nonlinear dispersive medium is formulated. It is shown that interacting identical topological solitons in the medium can form bound soliton complexes which move without radiation. This phenomenon is considered to be universal and applicable to various physical systems. The soliton complex and its "excited" states are described analytically and numerically as solutions of nonlinear dispersive equations with the fourth and higher order spatial or mixed derivatives. The dispersive sine-Gordon, double and triple sine-Gordon, and piecewise models are studied in detail. Mechanisms and conditions of the formation of soliton complexes, and peculiarities of their stationary dynamics are investigated. A phenomenological approach to the description of the complexes and the classification of all the possible complex states are proposed. Some examples of physical systems, where the phenomenon can be experimentally observed, are briefly discussed.

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Numerical analysis of vortex motion on Josephson structures

Cited by 118 publications

References 14 publications

Long Josephson tunnel junctions with doubly connected electrodes

Long Josephson tunnel junctions with doubly connected electrodes

Numerical solutions of a damped Sine-Gordon equation in two space variables

Formation of Soliton Complexes in Dispersive Systems

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