Exact solution for flux creep with logarithmic U ( j ) dependence: Self-organized critical state in high- T sub c superconductors
Abstract
An exact solution describing flux creep in high-{ital T}{sub {ital c}} superconductors is found, assuming the creep activation barrier {ital U} grows logarithmically with decreasing current {ital j}: {ital U}={ital U}{sub 0} ln({ital j}{sub 0}/{ital j}). For incomplete flux penetration, the flux density {ital B} is a function of the single variable {xi}={ital x}/{ital t}{sup 1/({sigma}+2)}, {sigma}={ital U}{sub 0}/{ital T}, and the system considered exhibits self-organized criticality. In a fully penetrated sample, {ital B} depends separately upon {ital x} and {ital t}. A sharp transition between these regimes occurs when the flux fronts from opposite sides of the sample meet, resulting in a kink in the magnetization relaxation curve.
- Authors:
-
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois (USA)
- Landau Institute for Theoretical Physics, Moscow (USSR)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL
- OSTI Identifier:
- 5419937
- DOE Contract Number:
- W-31109-ENG-38
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review Letters; (United States)
- Additional Journal Information:
- Journal Volume: 67:7; Journal ID: ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HIGH-TC SUPERCONDUCTORS; MAGNETIZATION; TYPE-II SUPERCONDUCTORS; CRITICAL CURRENT; ELECTRIC FIELDS; INDUCTION; MAGNETIC FLUX; MAXWELL EQUATIONS; RELAXATION; SURFACES; THEORETICAL DATA; CURRENTS; DATA; DIFFERENTIAL EQUATIONS; ELECTRIC CURRENTS; EQUATIONS; INFORMATION; NUMERICAL DATA; PARTIAL DIFFERENTIAL EQUATIONS; SUPERCONDUCTORS; 360204* - Ceramics, Cermets, & Refractories- Physical Properties; 656100 - Condensed Matter Physics- Superconductivity
Citation Formats
Vinokur, V M, Feigel'man, M V, and Geshkenbein, V B. Exact solution for flux creep with logarithmic U ( j ) dependence: Self-organized critical state in high- T sub c superconductors. United States: N. p., 1991.
Web. doi:10.1103/PhysRevLett.67.915.
Vinokur, V M, Feigel'man, M V, & Geshkenbein, V B. Exact solution for flux creep with logarithmic U ( j ) dependence: Self-organized critical state in high- T sub c superconductors. United States. https://doi.org/10.1103/PhysRevLett.67.915
Vinokur, V M, Feigel'man, M V, and Geshkenbein, V B. 1991.
"Exact solution for flux creep with logarithmic U ( j ) dependence: Self-organized critical state in high- T sub c superconductors". United States. https://doi.org/10.1103/PhysRevLett.67.915.
@article{osti_5419937,
title = {Exact solution for flux creep with logarithmic U ( j ) dependence: Self-organized critical state in high- T sub c superconductors},
author = {Vinokur, V M and Feigel'man, M V and Geshkenbein, V B},
abstractNote = {An exact solution describing flux creep in high-{ital T}{sub {ital c}} superconductors is found, assuming the creep activation barrier {ital U} grows logarithmically with decreasing current {ital j}: {ital U}={ital U}{sub 0} ln({ital j}{sub 0}/{ital j}). For incomplete flux penetration, the flux density {ital B} is a function of the single variable {xi}={ital x}/{ital t}{sup 1/({sigma}+2)}, {sigma}={ital U}{sub 0}/{ital T}, and the system considered exhibits self-organized criticality. In a fully penetrated sample, {ital B} depends separately upon {ital x} and {ital t}. A sharp transition between these regimes occurs when the flux fronts from opposite sides of the sample meet, resulting in a kink in the magnetization relaxation curve.},
doi = {10.1103/PhysRevLett.67.915},
url = {https://www.osti.gov/biblio/5419937},
journal = {Physical Review Letters; (United States)},
issn = {0031-9007},
number = ,
volume = 67:7,
place = {United States},
year = {Mon Aug 12 00:00:00 EDT 1991},
month = {Mon Aug 12 00:00:00 EDT 1991}
}