Effect of self-organized criticality on magnetic-flux creep in type-II superconductors: A time-delayed approach
W. Pan, S. Doniach
DOI 10.1103/PhysRevB.49.1192 · Physical Review B
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Abstract
Bean’s original model successfully explained the phenomenon of irreversible magnetization in type-II superconductors and revealed the threshold behavior of flux motion. The latter has similarities to the sliding of sand grains in a pile of sand, an example of self-organized criticality (SOC) initiated by P. Bak et al. However, the effect of thermal relaxation was not considered in the SOC context. We have generalized Kim and Anderson’s derivation of flux creep by incorporating the effects of avalanches on the relaxation of magnetization close to the self-organized critical state using a time-delayed diffusion equation approach. We predict qualitative changes in the nature of flux creep when measured close to the critical state.
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