Article,
Flux front penetration in disordered superconductors
PHYSICAL REVIEW LETTERS, 86 (16): 3622-3625 (2001)
DOI: 10.1103/PhysRevLett.86.3622
Abstract
We investigate flux front penetration in a disordered type-II
superconductor by molecular dynamics simulations of interacting vortices
and find scaling laws for the front position and the density profile.
The scaling can be understood by performing a coarse graining of the
system and writing a disordered nonlinear diffusion equation.
Integrating numerically the equation, we observe a crossover from hat 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.
