Pinning time statistics for vortex lines in disordered environments

Ulrich Dobramysl, Michel Pleimling, and Uwe C. Täuber
Phys. Rev. E 90, 062108 – Published 2 December 2014

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.

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  • Received 29 August 2014

DOI:https://doi.org/10.1103/PhysRevE.90.062108

©2014 American Physical Society

Authors & Affiliations

Ulrich Dobramysl

  • Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom

Michel Pleimling and Uwe C. Täuber

  • Department of Physics (MC 0435), Virginia Tech, Blacksburg, Virginia 24061, USA

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Issue

Vol. 90, Iss. 6 — December 2014

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