Pinning time statistics for vortex lines in disordered environments

Abstract

We study the pinning dynamics of magnetic flux (vortex) lines in a disordered type-II superconductor. Using numerical simulations of a directed elastic line model, we extract the pinning time distributions of vortex line segments. We compare different model implementations for the disorder in the surrounding medium: discrete, localized pinning potential wells that are either attractive and repulsive or purely attractive, and whose strengths are drawn from a Gaussian distribution; as well as continuous Gaussian random potential landscapes. We find that both schemes yield power law distributions in the pinned phase as predicted by extreme-event statistics, yet they differ significantly in their effective scaling exponents and their short-time behavior.

7 pages, 5 figures, to appear in Phys. Rev. E

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Cited by in corpus (7)

• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Disordered vortex matter out of equilibrium: a Langevin molecular dynamics study
• Flux line relaxation kinetics following current quenches in disordered type-II superconductors
• Dynamical regimes of vortex flow in type-II superconductors with parallel twin boundaries
• Critical Scaling and Aging near the Flux Line Depinning Transition
• Directional driving of vortex lines with oscillating magnetic field
• Pinning-depinning transitions in two classes of discrete elastic-string models in (2+1)-dimensions