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HAIT Journal of Science and Engineering Volume 1, Issue 4, pp. 721-742 © 2004 Holon Academic Institute of Technology | ||||||
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Fast phase transition and shock waves of the vortex matter in type-II superconductors
Boris Ya. Shapiro1,*, Irina Shapiro1, | ||||||
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1Department of Physics, Bar Ilan University, Ramat Gan 52100, Israel 2Department of Electrophysics, National Chiao Tung University Hsinchu, Taiwan, R.O.C. *Corresponding author: shapib@mail.biu.ac.il Received 7 December 2004, accepted 25 March 2005 | ||||||
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The relaxation dynamics of a quenched normal domain in a type-II superconductor is considered analytically and numerically. Different instabilities accompanying recovery of superconductivity are predicted. The relaxation of the normal spot starts with appearance of a microscopic instability leading to emergence of the vortex clusters. Effects of the heat dissipation and transport on the motion and stability of the interface between the magnetic flux and flux-free domains are considered. It is shown that the magnetic induction and the temperature have a form of the shock wave moving with constant velocity. In the vicinity of the front superconductivity is suppressed by strong screening currents. The front velocity is determined completely defined by the Joule heat caused by electric current in the normal domain at the flux front. Stability of the shock wave solution is investigated both analytically and numerically. For sufficiently small heat diffusion constant a finger shaped thermal instability is found. | ||||||
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___________________ Presented at International Workshop Correlated Electrons at High Magnetic Fields. Ein-Gedi/Holon, Israel, 19-23 December 2004 |