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Flux front penetration in disordered superconductors

Stefano Zapperi·Andre A. Moreira·Jose S. Andrade Jr
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Abstract

We investigate flux front penetration in a disordered type II superconductor by molecular dynamics (MD) simulations of interacting vortices and find scaling laws for the front position and the density profile. The scaling can be understood performing a coarse graining of the system and writing a disordered non-linear diffusion equation. Integrating numerically the equation, we observe a crossover from flat to fractal front penetration as the system parameters are varied. The value of the fractal dimension indicates that the invasion process is described by gradient percolation.

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Stefano Zapperi, Andre A. Moreira, Jose S. Andrade Jr. 2001-02-26. Flux front penetration in disordered superconductors. https://doi.org/10.1103/physrevlett.86.3622

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