Open AccessExternal noise-induced transitions in a current-biased Josephson junction
Author(s) -
Qiongwei Huang,
Changfeng Xue,
Jiashi Tang
Publication year - 2016
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4941355
Subject(s) - josephson effect , multiplicative noise , noise (video) , physics , amplitude , biasing , condensed matter physics , steady state (chemistry) , bifurcation , constant (computer programming) , stationary state , stationary distribution , quantum electrodynamics , statistical physics , voltage , quantum mechanics , mathematics , superconductivity , chemistry , nonlinear system , artificial intelligence , image (mathematics) , computer science , signal transfer function , markov chain , analog signal , engineering , programming language , statistics , digital signal processing , electrical engineering
We investigate noise-induced transitions in a current-biased and weakly damped Josephson junction in the presence of multiplicative noise. By using the stochastic averaging procedure, the averaged amplitude equation describing dynamic evolution near a constant phase difference is derived. Numerical results show that a stochastic Hopf bifurcation between an absorbing and an oscillatory state occurs. This means the external controllable noise triggers a transition into the non-zero junction voltage state. With the increase of noise intensity, the stationary probability distribution peak shifts and is characterised by increased width and reduced height. And the different transition rates are shown for large and small bias currents
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