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The concept of friction-induced brake vibrations, commonly known as judder, is investigated. Judder vibration is based on the class of geometrically induced or kinematic constraint instability. After presenting the modal coupling mechanism…

Classical Physics · Physics 2012-09-28 Sylvain Lignon , Jean-Jacques Sinou , Louis Jezequel

We study a diffusive superconductor - normal metal - superconductor (SNS) junction in an external magnetic field. In the limit of a long junction, we find that the form of the dependence of the Josephson current on the field and on the…

Superconductivity · Physics 2013-04-16 B. Crouzy , D. A. Ivanov

We investigate the stability of a rectangular Josephson vortex lattice in a stack of two long Josephson junctions. It is shown that in an infinite stack at low velocities the lattice is unstable with respect to triangular vortex lattice…

Superconductivity · Physics 2007-05-23 A. V. Chiguinev , V. V. Kurin

We show that the addition of a magnetic field parallel to the current induces self sustained intrinsic current oscillations in an asymmetric double barrier structure. The oscillations are attributed to the nonlinear dynamic coupling of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 P. Orellana , E. Anda , F. Claro

In this work we study the remanent magnetization exhibited by tridimensional disordered high-Tc Josephson junction arrays excited by an AC magnetic field. The effect, as predicted by numerical simulations and previously verified for a…

Superconductivity · Physics 2015-06-24 W. A. C. Passos , P. N. Lisboa-Filho , W. A. Ortiz

We show how the recently proposed effective theory for a Quantum Hall system at "paired states" filling v=1 (Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B641 (2002) 547), the twisted model (TM), well adapts to describe the phenomenology…

High Energy Physics - Theory · Physics 2016-09-06 G. Cristofano , V. Marotta , A. Naddeo , G. Niccoli

A commonly used approach to study stability in a complex system is by analyzing the Jacobian matrix at an equilibrium point of a dynamical system. The equilibrium point is stable if all eigenvalues have negative real parts. Here, by…

Populations and Evolution · Quantitative Biology 2016-09-02 James P. L. Tan

We report a direct observation of the crossover of the superconductor- ferromagnet-superconductor (SFS) junctions to the \pi-state which manifests itself in the half-period shift of the external magnetic field dependence of the transport…

Superconductivity · Physics 2007-05-23 V. V. Ryazanov , V. A. Oboznov , A. V. Veretennikov , A. Yu. Rusanov

In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized…

Disordered Systems and Neural Networks · Physics 2015-05-27 Francesco Sorrentino , Maurizio Porfiri

We report large-scale simulations of the resistively-shunted Josephson junction array in strip geometry. As the strip width increases, the voltage first decreases following the dynamic scaling ansatz proposed by Minnhagen {\it et al.}…

Statistical Mechanics · Physics 2016-08-31 Qing-Hu Chen , Lei-Han Tang , Peiqing Tong

We propose a Josephson junction array which can be tuned into an unconventional insulating state by varying external magnetic field. This insulating state retains a gap to half vortices; as a consequence, such array with non-trivial global…

Strongly Correlated Electrons · Physics 2009-11-07 B. Douçot , M. V. Feigel'man , L. B. Ioffe

We study the long Josephson junction (LJJ) model which takes into account the second harmonic of the Fourier expansion of Josephson current. The dependence of the static magnetic flux distributions on parameters of the model are…

Superconductivity · Physics 2015-05-19 P. Kh. Atanasova , T. L. Boyadjiev , Yu. M. Shukrinov , E. V. Zemlyanaya , P. Seidel

We show analytically that the inverse kinetic inductance $L^{-1}$ of an overdamped junction array at low frequencies is proportional to the admittance of an inhomogeneous equivalent impedance network. The $ij^{th}$ bond in this equivalent…

Condensed Matter · Physics 2009-10-22 Wenbin Yu , D. Stroud

We have numerically and analytically studied ac+dc driven Josephson-junction arrays with a single vortex or with a single vortex-antivortex pair present. We find single-vortex steps in the voltage versus current characteristics (I-V) of the…

Superconductivity · Physics 2016-08-15 P. H. E. Tiesinga , T. J. Hagenaars , J. E. van Himbergen , Jorge V. José

Nonlinearities can have a profound influence on the dynamics and equilibrium properties of discrete lattice systems. The simple case of two coupled modes with self-nonlinearities gives rise to the rich bosonic Josephson effects. In…

We have investigated the static properties of one-dimensional planar Josephson tunnel junctions in the most general case of elliptic annuli. We have analyzed the dependence of the critical current in the presence of an external magnetic…

Superconductivity · Physics 2015-11-05 Roberto Monaco , Carmine Granata , Antonio Vettoliere , Jesper Mygind

We consider an array of Josephson junctions with a common LCR-load. Application of the Watanabe-Strogatz approach [Physica D, v. 74, p. 197 (1994)] allows us to formulate the dynamics of the array via the global variables only. For…

Chaotic Dynamics · Physics 2015-06-15 Vladimir Vlasov , Arkady Pikovsky

We examine the dynamical consequences of Berry's phase for Josephson junctions, junction arrays, and their vortices. Josephson's equation and the related phase slip voltages are shown to be uneffected by Berry's phase. In an annular…

Condensed Matter · Physics 2007-05-23 Frank Gaitan , Subodh R. Shenoy

We study the parity effect and transport due to quasiparticles in circuits comprised of many superconducting islands. We develop a general approach and show that it is equivalent to previous methods for describing the parity effect in their…

Superconductivity · Physics 2015-05-13 Jared H. Cole , Andreas Heimes , Timothy Duty , Michael Marthaler

We show that electrically and magnetically frustrated Josephson junction arrays (JJAs) realize topological order with a non-trivial ground state degeneracy on manifolds with non-trivial topology. The low-energy theory has the same gauge…

Strongly Correlated Electrons · Physics 2008-11-26 M. C. Diamantini , P. Sodano , C. A. Trugenberger