Diffusion theory of the low‐pressure positive column with two‐step ionization from a metastable state. I
Diffusion theory of the low‐pressure positive column with two‐step ionization from a metastable state. I
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亚稳态两步电离的低压正柱扩散理论 I。
DOI：
10.1063/1.335668
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发表时间：
1985
影响因子：
3.2
通讯作者：
C. Ferreira
中科院分区：
文献类型：
--
作者：
F. Romeiras;C. Ferreira
我们提出了一个从亚稳态两步电离的低压正柱的自洽理论，其中适当地考虑了电子和可电离物的连续性方程之间的耦合。相应的边界值问题的数值求解圆柱形和平面的几何形状和消失的电子和亚稳密度在边界上，为广泛的两个参数上的问题所示的依赖。曲线的电子和亚稳态密度分布，本征值，方便定义的广义扩散长度为两种类型的粒子。我们还表明，本征值与电子速率系数和输运参数的玻尔兹曼计算一起提供了半径为R的稳态正柱的相似律：电场与气体密度之比，E/N vs NR，I/R=const，亚稳态密度与气体密度之比，nM（0）/N vs.
We present a self‐consistent theory of a low‐pressure positive column with two‐step ionization from a metastable state in which the coupling between the continuity equations for the electrons and the metastables is appropriately taken into account. The corresponding boundary value problem is solved numerically for both cylindrical and planar geometries and vanishing electron and metastable densities at the boundary, for a wide range of the two parameters on which the problem is shown to depend. Curves of the electron and metastable density profiles, of the eigenvalues, and of conveniently defined generalized diffusion lengths for both types of particles are presented. We also show that the eigenvalues together with Boltzmann calculations of the electron rate coefficients and transport parameters provide similarity laws for a steady‐state positive column with radius R: ratio of the electric field to the gas density, E/N vs NR for I/R=const and ratio of the metastable density to the gas density, nM(0)/N vs ...