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Flux front penetration in disordered superconductors
S Zapperi1, A A Moreira, J S Andrade
1INFM sezione di Roma 1, Dipartimento di Fisica, Università La Sapienza, P.le A. Moro 2, 00185 Roma, Italy.
Physical Review Letters
|May 1, 2001
Summary
We simulated flux front penetration in disordered superconductors, discovering scaling laws for vortex behavior. The invasion process transitions from flat to fractal, indicating gradient percolation dynamics.
Area of Science:
- Condensed Matter Physics
- Superconductivity
- Computational Physics
Background:
- Understanding flux penetration is crucial for superconductor applications.
- Disorder in superconductors significantly impacts magnetic flux dynamics.
- Vortex interactions govern macroscopic superconducting properties.
Purpose of the Study:
- To investigate flux front penetration in disordered type-II superconductors.
- To identify scaling laws for front position and vortex density.
- To characterize the invasion process using computational methods.
Main Methods:
- Molecular dynamics simulations of interacting vortices.
- Coarse-graining analysis of the simulated system.
- Numerical integration of a disordered nonlinear diffusion equation.
Main Results:
- Identified scaling laws for flux front position and vortex density profile.
- Observed a crossover from flat to fractal front penetration.
- Determined the fractal dimension, indicating gradient percolation.
Conclusions:
- Flux front penetration in disordered type-II superconductors follows predictable scaling laws.
- The invasion dynamics are governed by gradient percolation.
- Computational modeling provides insights into complex vortex behavior.