2005
DOI: 10.1103/physrevlett.94.037002
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Dendritic Flux Avalanches and Nonlocal Electrodynamics in Thin Superconducting Films

Abstract: We report a mechanism of nonisothermal dendritic flux penetration in superconducting films. Our numerical and analytical analysis of coupled nonlinear Maxwell and thermal diffusion equations shows that dendritic flux pattern formation results from spontaneous branching of propagating flux filaments due to nonlocal magnetic flux diffusion and positive feedback between flux motion and Joule heating. The branching is triggered by a thermomagnetic edge instability, which causes stratification of the critical state… Show more

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Cited by 129 publications
(135 citation statements)
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“…Constant temperature zero fieldcooled (ZFC) dc magnetization curves, M(H), are plotted in figure 2(a). Low field magnetic instabilities arising from thermomagnetic effects [28] lead to flux avalanches which have also been reported in Pb [29] and in Nb films [30]. The matching features appear as "shoulders" in M(H) at regular magnetic field intervals which are enhanced as T is reduced.…”
Section: Resultsmentioning
confidence: 82%
“…Constant temperature zero fieldcooled (ZFC) dc magnetization curves, M(H), are plotted in figure 2(a). Low field magnetic instabilities arising from thermomagnetic effects [28] lead to flux avalanches which have also been reported in Pb [29] and in Nb films [30]. The matching features appear as "shoulders" in M(H) at regular magnetic field intervals which are enhanced as T is reduced.…”
Section: Resultsmentioning
confidence: 82%
“…Although the physics behind the propagation of cracks, dielectric breakdowns, and flux avalanches, have been extensively studied in uniform media [2][3][4][5][6][7], little is known about the pattern formation in the case of periodic variations in the properties of the host material. In particular, one can then pose the question as to whether the morphology of flux avalanches is reflecting microscopic properties of the matrix or, inversely, if by introducing modulations on the material properties one would be able to impose a particular shape to the ubiquitous multi-branching splitting of avalanches.…”
Section: Introductionmentioning
confidence: 99%
“…However, the mechanism has recently also been shown to give localised, fingering instabilities. 14,15 Indeed, the instability threshold field predicted from this model was recently 16 shown to agree quantitatively with measurements in both Nb and MgB 2 films.…”
Section: Introductionmentioning
confidence: 58%