Magnetic flux shock waves and hydrodynamic dendritic instability in type-II superconducting film

E. Deutsch, B. Ya Shapiro, I. Shapiro

Research output: Contribution to journalArticlepeer-review


In recent experiments, trapped magnetic flux is initially generated by abrupt laser heating of a strip of a type-II superconducting film subjected to a weak magnetic filed. We study herein the non-equilibrium penetration of a magnetic flux into the Meissner state area. A sharp shock wave (SW) front of the magnetic induction is formed due to the singularity of the resistivity at the transition from the mixed to the normal state. In vicinity of the front, superconductivity is suppressed by strong screening currents. The magnetic shock wave front and the temperature profile are moving with a constant velocity determined by the joule heat produced by the electric current in the normal domain at the flux front and the film thickness. It is shown that tangential instability is responsible for a crush of the straight front. For a sufficiently small heat diffusion constant, an ultra-fast dendrite-shaped magnetic flux structure is predicted, while for large thermal diffusion constant the shock wave front is found to be stable.

Original languageEnglish
Pages (from-to)264-267
Number of pages4
JournalPhysica C: Superconductivity and its Applications
Issue number4
StatePublished - 15 Feb 2008

Bibliographical note

Funding Information:
This research was supported by the Israel Science Foundation, ESF Program “Cosmology in the Laboratory”, and by the Heinrich Hertz Minerva Center for High Temperature Superconductivity. We also gratefully acknowledge the support of the Binational Germany–Israel Foundation and the Inter-University Computational Center for providing Cray J932 supercomputer facilities.


  • Dendrites
  • Flux instability
  • Superconductivity
  • Vortex matter


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