Dynamics and morphology of dendritic flux avalanches in superconducting films

Abstract

We develop a fast numerical procedure for analysis of nonlinear and nonlocal electrodynamics of type-II superconducting films in transverse magnetic fields taking into account realistic boundary conditions. Using this procedure we explore stability of such films with respect to dendritic flux avalanches. The calculated flux patterns are very similar to experimental magneto-optical images of MgB2 and other superconductors, where the avalanche size and morphology change dramatically with temperature. We also find a threshold magnetic field, which agrees with both experiments and linear stability analysis. The simulations predict the temperature rise during an avalanche, where for a sub-microsecond time T ~ 1.5 Tc, and a precursor stage with large thermal fluctuations.

7 pages 7 figures

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• Modelling nonlocal electrodynamics in superconducting films: The case of a concave corner
• The thermomagnetic instability in superconducting films with adjacent metal layer
• Diversity of flux avalanche patterns in superconducting films
• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
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• Impact of strain and field ramp functional form on thermomagnetic instabilities in composite Nb3Sn wires with multi-filaments inside the superconducting coil
• Magnetic flux penetration in nanoscale wedge-shaped superconducting thin films
• Equidistant resonance jumps in superconducting coplanar resonators driven by Abrikosov vortices
• Dendritic flux avalanches in superconducting films of different thickness
• Thermally-controlled flux avalanche dynamics in bulk NbTi superconductor