# Critical Scaling and Aging near the Flux Line Depinning Transition

Source: [Critical Scaling and Aging near the Flux Line Depinning Transition](<https://www.sota2.com/research/paper/68fa3b5c1e209131ce8d1fe1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T00:32:59.364Z

Authors: Harshwardhan Chaturvedi, Ulrich Dobramysl, Michel Pleimling, Uwe C. T\\"auber

Published: 2019-07-12T15:45:56.000Z

## Abstract

We utilize Langevin molecular dynamics simulations to study dynamical critical behavior of magnetic flux lines near the depinning transition in type-II superconductors subject to randomly distributed attractive point defects. We employ a coarse-grained elastic line Hamiltonian for the mutually repulsive vortices and purely relaxational kinetics. In order to infer the stationary-state critical exponents for the continuous non-equilibrium depinning transition at zero temperature T = 0 and at the critical driving current density j\_c, we explore two-parameter scaling laws for the flux lines' gyration radius and mean velocity as functions of the two relevant scaling fields T and j - j\_c. We also investigate critical aging scaling for the two-time height auto-correlation function in the early-time non-equilibrium relaxation regime to independently measure critical exponents. We provide numerical exponent values for the distinct universality classes of non-interacting and repulsive vortices.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1907.05804>)

[PDF](<https://arxiv.org/pdf/1907.05804.pdf>)