Exact solution for flux creep with logarithmic U ( j ) dependence: Self-organized critical state in high- T sub c superconductors
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois (USA)
- Landau Institute for Theoretical Physics, Moscow (USSR)
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.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 5419937
- Journal Information:
- Physical Review Letters; (United States), Vol. 67:7; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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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
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