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

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 are approximately 2 times lower than the experiment. In view that the accuracy of the experiment results is within a factor of 2, our results are not bad. For application, some results for Au plasma are given.