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Title: Critical scaling and aging near the flux-line-depinning transition

Abstract

Here, 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 nonequilibrium depinning transition at zero temperature T = 0 and at the critical driving current density jc, we explore twoparameter scaling laws for the flux lines’ gyration radius and mean velocity as functions of the two relevant scaling fields T and j - jc. We also investigate critical aging scaling for the two-time height auto-correlation function in the early-time nonequilibrium relaxation regime to independently measure critical exponents. We offer numerical exponent values for the distinct universality classes of noninteracting and repulsive vortices.

Authors:
 [1];  [2]; ORCiD logo [3]; ORCiD logo [3]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Kaizen Analytix, Atlanta, GA (United States)
  2. Univ. of Cambridge (United Kingdom)
  3. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Publication Date:
Research Org.:
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1592824
Grant/Contract Number:  
SC0002308
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 101; Journal Issue: 2; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Magnetic flux lines; disordered type-II superconductors; depinning transition; critical dynamics; aging scaling; Langevin dynamics simulations

Citation Formats

Chaturvedi, Harshwardhan, Dobramysl, Ulrich, Pleimling, Michel, and Täuber, Uwe C. Critical scaling and aging near the flux-line-depinning transition. United States: N. p., 2020. Web. doi:10.1103/PhysRevB.101.024515.
Chaturvedi, Harshwardhan, Dobramysl, Ulrich, Pleimling, Michel, & Täuber, Uwe C. Critical scaling and aging near the flux-line-depinning transition. United States. doi:10.1103/PhysRevB.101.024515.
Chaturvedi, Harshwardhan, Dobramysl, Ulrich, Pleimling, Michel, and Täuber, Uwe C. Tue . "Critical scaling and aging near the flux-line-depinning transition". United States. doi:10.1103/PhysRevB.101.024515.
@article{osti_1592824,
title = {Critical scaling and aging near the flux-line-depinning transition},
author = {Chaturvedi, Harshwardhan and Dobramysl, Ulrich and Pleimling, Michel and Täuber, Uwe C.},
abstractNote = {Here, 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 nonequilibrium depinning transition at zero temperature T = 0 and at the critical driving current density jc, we explore twoparameter scaling laws for the flux lines’ gyration radius and mean velocity as functions of the two relevant scaling fields T and j - jc. We also investigate critical aging scaling for the two-time height auto-correlation function in the early-time nonequilibrium relaxation regime to independently measure critical exponents. We offer numerical exponent values for the distinct universality classes of noninteracting and repulsive vortices.},
doi = {10.1103/PhysRevB.101.024515},
journal = {Physical Review B},
number = 2,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}

Journal Article:
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