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Phase transitions and effects of external noise on many body systems are one of the main topics in physics. In mean field coupled nonlinear dynamical stochastic systems driven by Brownian noise, various types of phase transitions including…

Statistical Mechanics · Physics 2015-05-13 Akihisa Ichiki , Masatoshi Shiino

The mean first exit time and escape probability are utilized to quantify dynamical behaviors of stochastic differential equations with non-Gaussian alpha-stable type Levy motions. Both deterministic quantities are characterized by…

Numerical Analysis · Mathematics 2012-01-31 Ting Gao , Jinqiao Duan , Xiaofan Li , Renming Song

The phenomenon of an excitable system producing a pulse under external or internal stimulation may be interpreted as a stochastic escape problem. This work addresses this issue by examining the Morris-Lecar neural model driven by symmetric…

Dynamical Systems · Mathematics 2019-06-18 Yancai Liu , Rui Cai , Jinqiao Duan

We investigate the dynamics of a resistively shunted Josephson junction. We compute the Josephson frequency and the generalized impedances for a variety of the parameters, particularly with relevance to predicting the measurable effects of…

Superconductivity · Physics 2010-07-14 Fernando T Brandt , Josif Frenkel , John C Taylor

We present switching current measurements in niobium-aluminum oxide-niobium underdamped Josephson rings. Underdamped Josephson rings display hysteretic current-voltage curves which can be characterized by their switching current, the value…

Superconductivity · Physics 2008-07-21 K. Segall , A. Dioguardi , N. Fernandes , J. J. Mazo

On-off intermittency occurs in nonequilibrium physical systems close to bifurcation points and is characterised by an aperiodic switching between a large-amplitude "on" state and a small-amplitude "off" state. L\'evy on-off intermittency is…

Fluid Dynamics · Physics 2022-12-06 Adrian van Kan , François Pétrélis

Shot noise is studied in a single normal metal-superconductor (N-S) junction at finite frequency, and for branched N-S junctions at zero frequency. The noise spectral density displays a singularity at the Josephson frequency ($\omega =…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Julien Torres , Thierry Martin , Gordey B. Lesovik

We show that, in one spatial and arbitrary jump dimension, the averaged solution of a Marcustype SPDE with pure jump L\'evy transport noise satisfies a dissipative deterministic equation involving a fractional Laplace-type operator. To this…

Probability · Mathematics 2024-02-14 Franco Flandoli , Andrea Papini , Marco Rehmeier

This paper introduces a novel methodology for the identification of switching dynamics for switched autoregressive linear models. Switching behavior is assumed to follow a Markov model. The system's outputs are contaminated by possibly…

Signal Processing · Electrical Eng. & Systems 2019-03-28 Sarah Hojjatinia , Constantino M. Lagoa

The escape of a small current-biased Josephson tunnel junction from the zero voltage state in the presence of weak microwave radiation is investigated experimentally at low temperatures. The measurements of the junction switching current…

Superconductivity · Physics 2009-11-07 A. Wallraff , T. Duty , A. Lukashenko , A. V. Ustinov

The influence of fluctuations and periodical driving on temporal characteristics of short overdamped Josephson junction is analyzed. We obtain the standard deviation of the switching time in the presence of a dichotomous driving force for…

Statistical Mechanics · Physics 2009-11-10 Andrey L. Pankratov , Bernardo Spagnolo

The paper investigates theoretically effects of noise on low-bias parts of $IV$ curves of tunnel junctions. The analysis starts from the effect of shot noise from an additional (noise) junction on the Coulomb blockaded Josephson junction in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. B. Sonin

Additive symmetric L\'evy noise can induce directed transport of overdamped particles in a static asymmetric potential. We study, numerically and analytically, the effect of an additional dichotomous random flashing in such L\'evy ratchet…

Statistical Mechanics · Physics 2011-09-05 S. A. Ibáñez , A. B. Kolton , S. Risau-Gusman , S. Bouzat

Josephson junctions (JJs) are the key element of many devices operating at cryogenic temperatures. Development of time-efficient wafer-scale JJ characterization for process optimization and control of JJ fabrication is essential. Such…

We investigate the switching current distributions of ferromagnetic anomalous Josephson junctions subjected to a linearly increasing bias current. Our study uncovers a significant correlation between the position of the switching current…

Superconductivity · Physics 2023-10-12 Claudio Guarcello , F. Sebastián Bergeret , Roberta Citro

We investigate the superfluid dynamics of a Josephson junction beyond the mean-field description, incorporating the role of thermal fluctuations as well as quantum fluctuations. Using a formalism that accounts for the fluctuations in a…

Quantum Gases · Physics 2026-05-01 Andrea Bardin , Francesco Lorenzi , Luca Salasnich

We observe a series of discontinuities in the above gap current/voltage characteristics of highly transmissive Nb/Si superconductor/semiconductor interfaces. The bias at which each switch occurs decreases in quantized steps as a function of…

Superconductivity · Physics 2009-10-30 M. J. Black , B. W. Alphenaar , H. Ahmed

We analyze here the fluctuation conductivity in the vicinity of the critical point in a 2D Josephson junction array shunted by an Ohmic resistor.We find that at the Gaussian level, the conductivity acquires a logarithmic dependence on…

Condensed Matter · Physics 2009-10-31 Denis Dalidovich , Philip Phillips

We consider a superconducting loop with two weak links that encloses a magnetic flux. The weak links are unequal and are treated as Josephson junctions with non-sinusoidal phase dependence. We devise a model that takes into account the…

Superconductivity · Physics 2007-05-23 Jorge Berger

We present a simple microscopic model to show how fluctuating two--level systems in the Josephson junction tunnel barrier of thickness $L$ can modify the potential energy of the barrier and produce critical current noise spectra. We find…

Superconductivity · Physics 2007-11-13 Magdalena Constantin , Clare C. Yu
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