论文标题
次级发射的气体电离的稳态
Steady States of Gas Ionization with Secondary Emission
论文作者
论文摘要
我们考虑两个平行板之间的气体的稳态，这些平行板通过强电场电离，以创建等离子。由于电子与气体分子碰撞和与阴极碰撞的离子（二次发射）相撞，因此可以有一系列电子。我们使用全球分叉理论来证明具有以下属性的此类稳态状态的单参数$ \ MATHSCR {K} $。曲线$ \ mathscr {k} $从火花电压开始，粒子密度变为无界或$ \ mathscr {k} $以反屏蔽电压结束。这些关键电压的特征是明确的。
We consider the steady states of a gas between two parallel plates that is ionized by a strong electric field so as to create a plasma. There can be a cascade of electrons due both to the electrons colliding with the gas molecules and to the ions colliding with the cathode (secondary emission). We use global bifurcation theory to prove that there is a one-parameter family $\mathscr{K}$ of such steady states with the following property. The curve $\mathscr{K}$ begins at the sparking voltage and either the particle density becomes unbounded or $\mathscr{K}$ ends at an anti-sparking voltage. These critical voltages are characterized explicitly.
