一种计算稠密等离子体电导率的半经验模型

A semi-empirical conductivity model for dense plasma

为了准确计算稠密等离子体电离平衡,在理想Saha方程的基础上,加入了压致电离理论和德拜理论相结合的修正。此电离模型可以描述稠密等离子体内电离机制随着密度的增加由热电离转变为压致电离的现象。压致电离理论结合德拜理论修正的Saha方程的计算结果与其它电离模型结果作了对比和分析。电离气体区域采用完全电离等离子体模型计算电子弛豫时间,而在凝聚态区域采用电子平均自由程计算电子弛豫时间。提出了将两个区域平滑连接起来的公式,从而建立了一种可以计算从理想等离子体态到凝聚态物质的半经验电导率模型,半经验模型计算结果与实验数据作了对比。

The transition of ionization mechanism from thermal ionization to pressure ionization can be described with Saha equation which is modified by the combination of pressure ionization theory and Debye theory. The results of Saha equation with combination of pressure ionization and Debye theory corrections are compared with that for different ionization models. The fully ionized plasma model is adopted to calculate the electron relaxation time in the region of ionized gases. The electron relaxation time is calculated according to the mean free path of the electrons in the region of condensed matter. A formula is constructed to make a smooth blending of the conductivity between the different regions. Therefore, a wide range semi-empirical conductivity model which is valid from ideal plasma to condensed matter is established. The conductivity data derived from the semi-empirical model is compared with experimental data.