强磁场下介质击穿的磁分形特性
Magnetic Fractal Dimensionality of the Dielectric Breakdown Under Strong Magnetic Fields
摘要：
从理论上研究了在横向磁场作用下绝缘表面击穿图形的形成。我们推广了介质击穿模型（DBM）的情况下，外部磁场。介绍了磁分形维数的概念，论证了磁分形维数的普遍性。它表明，MFD饱和与磁场。得到了流光曲率与磁场的关系。实验观察到的“蜘蛛腿”状流光图案是由非线性电流相互作用引起的。
英文摘要：
The formation of breakdown pattern on an insulating surface under the influence of a transverse magnetic field is theoretically investigated. We have generalized the Dielectric Breakdown Model (DBM) for the case of external magnetic field. Concept of the Magnetic Fractal Dimensionality (MFD) is introduced and its universality is demonstrated. It is shown that MFD saturates with magnetic fields. The magnetic field dependence of the streamer curvature is obtained. It is conjectured that nonlinear current interaction is responsible for the experimentally observed 'spider-legs' like streamer patterns.
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