Reflection of diffusing metastable gas molecules at the boundary
Reflection of diffusing metastable gas molecules at the boundary
复制标题
边界处扩散亚稳态气体分子的反射
DOI：
10.1088/0022-3727/25/11/002
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
H. Sekizawa
中科院分区：
文献类型：
--
作者：
Susumu Suzuki;H. Itoh;N. Ikuta;H. Sekizawa
一般来说，在汤森放电中，亚稳态分子的行为是通过求解扩散方程来处理的。先前假设扩散方程的边界条件是边界处的密度为零。发现这样的假设在根据实验数据确定有效寿命时不能令人满意。作者使用第三类边界条件求解扩散方程。通过采用两流近似，亚稳态的反射系数自然地引入到理论中。推导出亚稳态有效寿命与压力函数的关系的表达式，该表达式隐含地依赖于反射系数。通过将计算曲线与实验数据进行拟合，作者成功确定了各种物理参数，包括新引入的反射系数。
Generally, in Townsend discharges, the behaviours of metastable molecules are treated by solving the diffusion equation. The boundary condition for the diffusion equation has previously been assumed to be that the density at the boundary is zero. Such an assumption is found to be unsatisfactory in determining effective lifetimes from the experimental data. The authors solve the diffusion equation using boundary conditions of the third kind. By adopting the two-stream approximation, the reflection coefficient of the metastables is introduced naturally into the theory. An expression which depends implicitly on the reflection coefficient is derived for the effective lifetime of the metastables as a function of pressure. By fitting the calculated curves to the experimental data, the authors succeed in determining the various physical parameters, including the newly introduced reflection coefficient.