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This paper studies the impacts of stochastic load fluctuations, namely the fluctuation intensity and the changing speed of load power, on the size of the voltage stability margin. To this end, Stochastic Differential-Algebraic Equations…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Georgia Pierrou , Xiaozhe Wang

We address the problem of recognizing alpha-stable Levy distribution with Levy index close to 2 from experimental data. We are interested in the case when the sample size of available data is not large, thus the power law asymptotics of the…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Krzysztof Burnecki , Agnieszka Wyłomańska , Aleksei Beletskii , Vsevolod Gonchar , Aleksei Chechkin

In this work, a Josephson junction consisting of two superconducting layers sandwiching an insulating layer is explored, which is subject to the effects of thermal fluctuations. The precise expressions for the evolution of Josephson phase…

Superconductivity · Physics 2024-03-05 Shenglan Yuan

An important task in quantitative biology is to understand the role of stochasticity in biochemical regulation. Here, as an extension of our recent work [Phys. Rev. Lett. 107, 148101 (2011)], we study how input fluctuations affect the…

Molecular Networks · Quantitative Biology 2015-06-11 Bo Hu , David A. Kessler , Wouter-Jan Rappel , Herbert Levine

This work describes the effects of L\'evy noise on a birhythmic van der Pol like oscillator. Numerical simulations demonstrate that the noise induced escapes from an attractor to another are not markedly different from escapes between…

Statistical Mechanics · Physics 2019-12-25 René Yamapi , Raoul Mbakob Yonkeu , Giovanni Filatrella , Jürgen Kurths

We study, both theoretically and experimentally, the features on the current-voltage characteristic of a highly transparent Josephson junction caused by transition of the superconducting leads to the normal state. These features appear due…

We consider a fractional Josephson vortex in an infinitely long 0-kappa Josephson junction. A uniform bias current applied to the junction exerts a Lorentz force acting on a vortex. When the bias current becomes equal to the critical (or…

Superconductivity · Physics 2009-11-02 K. Vogel , T. Kato , W. P. Schleich , D. Koelle , R. Kleiner , E. Goldobin

In modern transistor based logic gates, the impact of noise on computation has become increasingly relevant since the voltage scaling strategy, aimed at decreasing the dissipated power, has increased the probability of error due to the…

Hardware Architecture · Computer Science 2007-12-10 Luca Gammaitoni

We have measured the influence of shot noise on hysteretic Josephson junctions initially in macroscopic quantum tunnelling (MQT) regime. Escape threshold current into the resistive state decreases monotonically with increasing average…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. P. Pekola , T. E. Nieminen , M. Meschke , J. M. Kivioja , A. O. Niskanen , J. J. Vartiainen

Superconducting weak link (WL), acting as a Josephson junction (JJ), is one of the widely used elements in superconductor science and quantum circuits. A hysteretic JJ with robust switching between its superconducting and resistive state is…

Superconductivity · Physics 2022-10-11 Sourav Biswas , Pankaj Wahi , Anjan Kumar Gupta

We propose a two-terminal method to measure shot noise in mesoscopic systems based on an instability in the current-voltage characteristic of an on-chip detector. The microscopic noise drives the instability, which leads to random switching…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Andrew N. Jordan , Eugene V. Sukhorukov

We study the influence of a dissipation process on diffusion dynamics triggered by slow fluctuations. We study both strong- and weak-friction regime. When the latter regime applies, the system is attracted by the basin of either Gauss or…

Statistical Mechanics · Physics 2009-10-31 M. Annunziato , P. Grigolini

Stochastic resonance phenomenon induced by non-Gaussian L\'evy noise in a second-order bistable system is investigated. The signal-noise-ratio for different parameters is computed by an efficient numerical scheme. The influences of the…

Statistical Mechanics · Physics 2013-09-06 Yong Xu , Juanjuan Li , Jing Feng , Huiqing Zhang , Wei Xu , Jinqiao Duan

A pulse-and-hold technique is used to measure the switching of small critical current Josephson junctions. This technique allows one to achieve a good binary detection and therefore measure switching probabilities. The technique overcomes…

Superconductivity · Physics 2017-08-23 J. Walter , S. Corlevi , D. B. Haviland

We generalize the stochastic path integral formalism by considering Hamiltonian dynamics in the presence of general Markovian noise. Kramers' solution of the activation rate for escape over a barrier is generalized for non-Gaussian driving…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan

We investigate the crossed Josephson effect in a geometry consisting of a double ferromagnetic bridge between two superconductors, with tunnel interfaces. The crossed Josephson current vanishes on average because the Andreev reflected hole…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Mélin

The effect of thermal fluctuations in Josephson junctions is usually analysed using the Ambegaokar-Halperin (AH) theory in the context of thermal activation. "Enhanced" fluctuations, demonstrated by broadening of current-voltage…

Superconductivity · Physics 2014-10-15 Jian Wei , P. Cadden-Zimansky , P. Virtanen , V. Chandrasekhar

Random Telegraph Noise is a ubiquitous process manifesting across technology and the natural world. It is characterized by random jumps between two distinct states with Poissonian waiting times, and is the origin of 1/f noise. Understanding…

By measuring the Josephson emission of a diffusive Superconductor-Normal metal-Superconductor (SNS) junction at a finite temperature we reveal a non-trivial sensitivity of the supercurrent to microwave irradiation. We demonstrate that the…

Topological superconductors supporting Majorana Fermions with non-abelian statistics are presently a subject of intense theoretical and experimental effort. It has been proposed that the observation of a half-frequency or a fractional…

Mesoscale and Nanoscale Physics · Physics 2012-06-21 Jay D. Sau , Erez Berg , Bertrand I. Halperin