Exact solution for flux creep with logarithmic U(j) dependence: Self-organized critical state in high-Tc superconductors
V. M. Vinokur, M. V. Feigel’man, V. B. Geshkenbein
DOI 10.1103/PhysRevLett.67.915 · Physical Review Letters
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Abstract
An exact solution describing flux creep in high-Tc superconductors is found, assuming the creep activation barrier U grows logarithmically with decreasing current j: U=U0 ln(j0/j). For incomplete flux penetration, the flux density B is a function of the single variable ξ=x/t1/(σ+2), σ=U0/T, and the system considered exhibits self-organized criticality. In a fully penetrated sample, B depends separately upon x and 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.
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