惰性物质等离子体物态方程研究

State equation of inert plasma

对高温高压下惰性等离子体的电离度和物态方程,给出了一种基于Thomas-Feimi(TF)统计模型的简化计算新方法,即首先对TF模型电离势的数值结果进行函数逼近,得出近似计算电离势的简单解析函数;在局部热动平衡情况下,假定离子数密度n(Z*)为Z*的连续函数,再由Debye-H櫣ckel修正的Saha方程,得出了一个便于数值求解的电离度的近似计算公式,从而建立了一种惰性等离子体物态方程的简化模型,并对氦、氖、氩三种惰性物质等离子体进行了计算.计算结果与其他文献计算结果和实验值均符合很好.所提出的简单模型也适用于计算混合物物态方程,在高温高密度强电离等离子体领域将有更为广阔的应用前景.

The paper present a simplified new model for computing state equation and ionization degree of inert plasma, which is based on the Thomas-Feimi（TF）statistical model. We fitted the numerical results of the ionization potential calculated by TF statistical model and obtained the analytic function for computing the ionization potential. Then in the local thermal equilibrium （LTE） case we assume the density of plasma n （ Z^＊ ） is a continuous function of Z^＊, and based on Saha equation with Debye-Htickel correction we established a simplified model of state equation of inert plasma. Using this simplified model we calculated the average degree of ionization and the state equation for Helium, Neon and Argon Plasma. The results from this simplified model are basically in agreement with both theory and experimental data. This simplified model can be used to calculate the state equation of plasma mixtures and is expected to have a wider applieation in the field of strongly ionized plasma.