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The dynamics of moving vortex lattice is considered in the framework of the time dependent Ginzburg - Landau equation neglecting effects of pinning. At high flux velocities the pinning dominated dynamics is expected to cross over into the…

Superconductivity · Physics 2009-11-10 Dingping Li , Andrey M. Malkin , Baruch Rosenstein

With increasing applied current we show that the moving vortex lattice changes its structure from a triangular one to a set of parallel vortex rows in a pinning free superconductor. This effect originates from the change of the shape of the…

Superconductivity · Physics 2009-11-13 D. Y. Vodolazov , F. M. Peeters

The dynamics of 2D pancake vortices in Josephson-coupled superconducting/normal - metal multilayers is considered within the time-dependent Ginzburg-Landau theory. For temperatures close to $T_{c}$ a viscous drag force acting on a moving 2D…

Condensed Matter · Physics 2009-10-28 A. S. Mel'nikov

We investigate the pinning and driven dynamics of vortices interacting with twin boundaries using large scale molecular dynamics simulations on samples with near one million pinning sites. For low applied driving forces, the vortex lattice…

Superconductivity · Physics 2016-08-31 C. Reichhardt , C. J. Olson , Franco Nori

Using a Ginzburg-Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied magnetic field directed orthogonal to the film. Through a…

Analysis of PDEs · Mathematics 2015-06-12 Lydia Peres Hari , Jacob Rubinstein , Peter Sternberg

We have measured the in-plane anisotropy of the vortex mobility in a thin Pb film with a square array of antidots. The Lorentz force, acting on the vortices, was rotated by adding two perpendicular currents and keeping the amplitude of the…

Superconductivity · Physics 2009-11-10 A. V. Silhanek , L. Van Look , S. Raedts , R. Jonckheere , V. V. Moshchalkov

In this paper we study the time-dependent Ginzburg-Landau equations on a smooth, bounded domain $\Omega \subset \Rn{2}$, subject to an electrical current applied on the boundary. The dynamics with an applied current are non-dissipative, but…

Analysis of PDEs · Mathematics 2010-03-25 Ian Tice

Within the framework of the generalized time-dependent Ginzburg-Landau equations, we studied the influence of the magnetic self-field induced by the currents inside a superconducting sample driven by an applied transport current. The…

Superconductivity · Physics 2020-06-03 Leonardo Rodrigues Cadorim , Alexssandre de Oliveira Junior , Edson Sardella

The equations of viscous evolution of 3D arbitrarily shaped vortices in an isotropic type II superconductor and necessary boundary conditions are formulated in the frame of London approximation. The theory is applied to analyse…

Superconductivity · Physics 2007-05-23 Yu. E. Kuzovlev

The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine…

High Energy Physics - Theory · Physics 2009-10-30 G. N. Stratopoulos , T. N. Tomaras

We investigated vortex dynamics in a single-crystal sample of type-II superconductor NbSe$_{2}$ using scanning tunneling microscopy at 4.2 K. The decay of the magnetic field at a few nT/s in our superconducting magnet induced the…

Superconductivity · Physics 2011-09-01 Jonghee Lee , Hui Wang , Michael Dreyer , Helmuth Berger , Barry I. Barker

We use large-scale parallel simulations to compute the motion of superconducting magnetic vortices during avalanches triggered by small field increases. We find that experimentally observable voltage bursts correspond to pulsing vortex…

Superconductivity · Physics 2015-06-25 C. J. Olson , C. Reichhardt , J. Groth , Stuart B. Field , Franco Nori

We study a mixed heat and Schr\"odinger Ginzburg-Landau evolution equation on a bounded two-dimensional domain with an electric current applied on the boundary and a pinning potential term. This is meant to model a superconductor subjected…

Analysis of PDEs · Mathematics 2015-05-18 Sylvia Serfaty , Ian Tice

Quantized magnetic vortices driven by electric current determine key electromagnetic properties of superconductors. While the dynamic behavior of slow vortices has been thoroughly investigated, the physics of ultrafast vortices under strong…

Starting from the time-dependent Ginzburg-Landau (TDGL) equations for a type II superconductor, we derive the equations of motion for the displacement field of a moving vortex lattice without inertia or pinning. We show that it is linearly…

Condensed Matter · Physics 2009-10-31 R. Aditi Simha , Sriram Ramaswamy

Vortices confined to superconducting easy flow channels with periodic constrictions exhibit reversible oscillations in the critical current at which vortices begin moving as the external magnetic field is varied. This commensurability…

Superconductivity · Physics 2010-05-21 K. Yu , M. B. S. Hesselberth , P. H. Kes , B. L. T. Plourde

We study the development and decay of vortex in viscoelastic fluids between coaxial cylinders by means of experiments with solutions of polyacrylamide and glycerin and numerical simulations. The transient process is triggered when the inner…

Fluid Dynamics · Physics 2022-03-02 Renzo Guido , Felipe Rinderknecht , Cecilia Cabeza , Arturo C. Marti , Gustavo Sarasúa

This work is concerned with the numerical investigation of the dynamics of stopping vortex formation in the uniform flow past a wedge mounted on a wall for channel Reynolds number $Re_c=1560$. The streamfunction-vorticity ($\psi$-$\omega$)…

Fluid Dynamics · Physics 2024-05-06 Jiten C Kalita

Using Ginzburg-Landau theory, we have performed detailed studies of vortices in the presence of artificial defect arrays, for a thin film geometry. We show that when a vortex approaches the vicinity of a defect, an abrupt transition occurs…

Superconductivity · Physics 2009-11-07 D. J. Priour , H. A. Fertig

On the basis of the time-dependent Ginzburg-Landau equation we studied the dynamics of the superconducting condensate in a wide two-dimensional sample in the presence of a perpendicular magnetic field and applied current. We could identify…

Superconductivity · Physics 2009-11-10 D. Vodolazov , B. J. Baelus , F. M. Peeters
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