稠密热等离子体的电子传导不透明度研究  

ELECTRON CONDUCTIVE OPACITY OF HOT DENSE PLASMA

作　　者：袁建奎[1,2] 孙永盛[1,2] 郑绍唐[1,2] 

机构地区：[1]中国工程物理研究院北京研究生部 计算物理实验室 [2]北京应用物理与计算数学研究所

出　　处：《强激光与粒子束》1996年第2期227-232,共6页High Power Laser and Particle Beams

基　　金：国家自然科学基金

摘　　要：采用相对论自治场平均离子势模型，电子简并效应采用Ｆｅｒｍｉ－Ｄｉｒａｃ分布描述，参数结构因子用来考虑离子结构的影响，电子对离子的散射载面采用分波分析，利用推广的Ｚｉｍａｎ公式对稠密热等离子体的电子传导不透明度作了大量计算。A number of authors has investigated the conductivity of hot dense plasmas in strongly coupled region. Rinker performed calculations of transport coefficients by using and extended Ziman formula. The electron scattering potential employed a model potential represented as a combination of Thomas- Fermi potential of high temperature and density and Hartree -Fock-Slater potential for isolated ions. In recent paper, we use the relativistic self consistent average atom (AA) model in which the quantities Z *, μ, U(r), ρ(r) etc are fully self consistent by solving the Dirac equation. The extended Ziman formula for the resistivity is given by equation (1) . The required parameters in the extended Ziman formula can be obtained by using the AA model , which assumes that the electronic levels in the plasma are populated according to the Fermi Dirac statistics. The electronic potential is assumed to be spherically Dirac equation and the condition of charge neutrality in the ion sphere construct a complete self consistent set of equations from the numerical iteration, Z *, μ, ε j,U(r),ρ(r) can be obtained. The effective scattering potential can be calculated from the electron density distribution, which is given as the muffin tin (MT) potential form. The phase shift δ k is obtained by requiring that the two components of the Dirac equation be continuous at r=R 0 The results for Fe plasma show that our results agree with Rinker′s very well at high temperature 1keV, but there are noticeable differences at relative lower temperatures 123eV and 15eV . This is not surprising, since the AA model potential tends to the TFD potential at high temperature, but at the middle region, the self consistent AA potential is surely different from the combination of TFD and HFS potential. The results for Al Plasma show that the quantitative picture of the electrical resistivity is correct. The results for T <20eV agree well with the experiment values. However, for T >20eV the results

关 键 词：平均离子 电子传导 不透明度 分波法 等离子体 

分 类 号：O53[理学—等离子体物理]