负电离锋中的幂律和自相似行为
Power laws and self-similar behavior in negative ionization fronts
摘要：
我们研究了弯曲几何中的阳极定向电离前沿。当磁效应可以忽略时，电屏蔽因子决定了电场和带电粒子密度的行为。从一个最小的流光模型，一个Burgers型方程，它支配的电屏蔽因子的动态。然后推导出一个拉格朗日公式来分析电离锋。利用屏蔽因子公式，数值模拟和解析计算了流注前沿的速度和振幅的幂律。对几何扩散现象进行了解释和澄清，并导出了一个普遍的自相似渐近行为。
英文摘要：
We study anode-directed ionization fronts in curved geometries. When the magnetic effects can be neglected, an electric shielding factor determines the behavior of the electric field and the charged particle densities. From a minimal streamer model, a Burgers type equation which governs the dynamics of the electric shielding factor is obtained. A Lagrangian formulation is then derived to analyze the ionization fronts. Power laws for the velocity and the amplitude of streamer fronts are observed numerically and calculated analytically by using the shielding factor formulation. The phenomenon of geometrical diffusion is explained and clarified, and a universal self-similar asymptotic behavior is derived.
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