负电离锋分支机制的研究
On the mechanism of branching in negative ionization fronts
摘要：
我们解释了一个平面负前分支的机制。分支的发生是由于碰撞电离的不稳定效应和电离前沿上电子扩散的稳定效应之间的平衡。横向微扰的色散关系是通过解析得到的，其内容为：$s = |k|/[2 (1 + |k|)] - D |k|^2$，其中假定小的$D$是电子扩散系数与外部施加的电场强度之间的比率。我们估计了平面放电中流光间距$λ$，并推导出一个标度律$λ\sim D^{1/3}$。
英文摘要：
We explain a mechanism for branching of a planar negative front. Branching occurs as the result of a balance between the destabilizing effect of impact ionization and the stabilizing effect of electron diffusion on ionization fronts. The dispersion relation for transversal perturbation is obtained analytically and reads: $s = |k|/[2 (1 + |k|)] - D |k|^2$, where $D$, which is assumed to be small, is the ratio between the electron diffusion coefficient and the intensity of the externally imposed electric field. We estimate the spacing $λ$ between streamers in a planar discharge and deduce a scaling law $λ\sim D^{1/3}$.
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