Search results for "sine-Gordon"

showing 6 items of 16 documents

Generation of travelling sine-Gordon breathers in noisy long Josephson junctions

2022

The generation of travelling sine-Gordon breathers is achieved through the nonlinear supratransmission effect in a magnetically driven long Josephson junction, in the presence of losses, a current bias, and a thermal noise source. We demonstrate how to exclusively induce breather modes by means of controlled magnetic pulses. A nonmonotonic behavior of the breather-only generation probability is observed as a function of the noise intensity. An experimental protocol providing evidence of the Josephson breather's existence is proposed.

Settore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciCondensed Matter - Mesoscale and Nanoscale PhysicsGeneral MathematicsApplied MathematicsTravelling sine-Gordon breathersFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsStochastic fluctuationsNonlinear supratransmissionNonlinear Sciences::Exactly Solvable and Integrable SystemsLong Josephson junctionsCondensed Matter::SuperconductivityMesoscale and Nanoscale Physics (cond-mat.mes-hall)Long Josephson junctions; Nonlinear supratransmission; Stochastic fluctuations; Travelling sine-Gordon breathersNonlinear Sciences::Pattern Formation and Solitons
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Ac-locking of thermally-induced sine-Gordon breathers

2023

A complete framework for exciting and detecting thermally-induced, stabilized sine-Gordon breathers in ac-driven long Josephson junctions is developed. The formation of long-time stable breathers locked to the ac source occurs for a sufficiently high temperature. The latter emerges as a powerful control parameter, allowing for the remarkably stable localized modes to appear. Nonmonotonic behaviors of both the breather generation probability and the energy spatial correlations versus the thermal noise strength are found. The junction's resistive switching characteristics provides a clear experimental signature of the breather.

Settore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)Condensed Matter - Mesoscale and Nanoscale PhysicsGeneral MathematicsApplied MathematicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)General Physics and AstronomyFOS: Physical sciencesSoliton dynamicsLong Josephson junctionsThermal noiseSine-Gordon breathersStatistical and Nonlinear PhysicsPattern Formation and Solitons (nlin.PS)Nonlinear Sciences - Pattern Formation and SolitonsCondensed Matter - Statistical Mechanics
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Noisy dynamics in long and short Josephson junctions

The study of nonlinear dynamics in long Josephson junctions and the features of a particular kind of junction realized using a graphene layer, are the main topics of this research work. The superconducting state of a Josephson junction is a metastable state, and the switching to the resistive state is directly related to characteristic macroscopic quantities, such as the current the voltage across the junction, and the magnetic field through it. Noise sources can affect the mean lifetime of this superconducting metastable state, so that noise induced effects on the transient dynamics of these systems should be taken into account. The long Josephson junctions are investigated in the sine-Gor…

Transient dynamickinkmean switching timeSettore FIS/02 - Fisica Teorica Modelli E Metodi Matematicigraphenebreathernoise induced effectlong Josephson junctiondynamic resonant activationGaussian noisenoise enhanced stabilitysine-Gordonshort Josephson junctionnonlinear relaxation timeJosephson junctionJosephson junction; sine-Gordon; Transient dynamics; noise induced effect; noise enhanced stability; dynamic resonant activation; stochastic resonant activation; resonant activation; soliton; breather; kink; Gaussian noise; non Gaussian noise; graphene; short Josephson junction; long Josephson junction; mean switching time; nonlinear relaxation time;stochastic resonant activationresonant activationnon Gaussian noisesoliton
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Magnetically excited breather modes in an overlap-geometry Josephson tunnel junction

2022

A scheme for the controlled generation of single traveling sine- Gordon breathers in a long Josephson junction is described. In the presence of dissipation, a direct current source, and thermal fluctuations, the theoretical analysis shows that, through the nonlinear supratransmission effect, tailored magnetic pulses at the junction’s edge can effectively yield breather modes only.

Traveling sine-Gordon breatherSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStochastic fluctuationsLong Josephson junctionNonlinear supratransmission
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Effet du couplage non linéaire dans un système de sine-Gordon modifié

2016

National audience; Cette Communication porte sur une étude numérique visant à montrer les conditions d'existence du phénomène de supratransmission dans un milieu gouverné par l'équation de sine-gordon à couplage mixte: le couplage linéaire pur étant associé à un couplage non linéaire. Nous montrons également l'effet de la variation du coefficient du couplage non linéaire sur l'amplitude de seuil du signal excitateur nécessaire pour déclencher le phénomène de supratransmission dans le milieu, en maintenant constant le coefficient du couplage linéaire pur.

[SPI]Engineering Sciences [physics]sine-Gordon[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS][SPI] Engineering Sciences [physics][NLIN.NLIN-PS] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS][ SPI ] Engineering Sciences [physics][ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]supratransmission
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Noise phenomena and soliton dynamics in long Josephson junctions

2013

In this work we computationally explore the transient dynamics of a noisy Josephson junction (JJ). Principal purpose is to investigate the behavior of the lifetime of the superconductive state as a function of the system and noise source parameters. The relations between the emerging phenomena and the evolution of the JJ order parameter φ, that is the phase difference between the macroscopic wave functions describing the superconducting condensate in the two electrodes, is deeply investigated. We focus our interest on the switching events from the superconducting metastable state, and in particular on the mean escape time (MET). In the used model, a long JJ can be represented by a string co…

mean escape timebreatherwashboardGaussian noiseSettore FIS/03 - Fisica Della Materianon-Gaussian noisenoise enhanced stabilityLévysine-GordonJosephson junction; sine-Gordon; washboard; Lévy; Gaussian noise; non-Gaussian noise; soliton; breather; mean escape time; noise enhanced stability; resonant activationJosephson junctionresonant activationsoliton
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