Methods using average-atom models in order to calculate dense-plasma opacities and conductivities are reviewed. Dense plasmas at moderate temperatures, of interest in white-dwarf modelling, are considered. Due to their relative simplicity of implementation, compared to more detailed models (detailed-level accounting, detailed configuration accounting, etc.), average-atom models are a privileged framework for the application of the most involved dense-plasma statistical modelling. Moreover, the average-atom models are well suited to the calculation of some thermodynamic properties, such as the equation of state. They can also be used in order to estimate broadband radiative properties of dense plasmas. After an introduction to the opacity issue in the modelling of white dwarfs, we make a short review of average-atom models. We then address the methods of calculating the opacity starting from the average-atom model, see some of their limitations, and briefly discuss some problems that remain open, such as the modelling of fluctuations, or the accounting for channel mixing and collective phenomena in the photoabsorption.
KEYWORDSaverage atom, conductivity, dense plasmas, photoabsorption, radiative properties, white dwarf
INTRODUCTION: OPACITIES IN THE CONTEXT OF WHITE-DWARF MODELLINGOpacities play an essential role in the physics of white-dwarf (WD) stars. Knowledge of the opacity is, for example, required for the modelling of the WD cooling process [1] or of the accretion phenomena in cataclysmic variables.[2]Figure 1 presents the thermodynamic conditions in a 0.6 M ⊙ , DA-type WD going through its cooling process, according to Ref. 3. In this figure are also plotted the boundaries of the regions of electron degeneracy, ion and electron coupling, and partial ionization. The average-atom (AA) models we are dealing with, in this article, are mostly aimed at describing partially to fully ionized, moderately coupled plasmas, at any degeneracy. As shown in Figure 1, a large part of the WD-relevant plasmas falls into this category.However, in the core of WDs (see Figure 1a), the plasma is highly ionized and its electrons are highly degenerate. Thus, elementary models of plasma physics, such as the one-component classical plasma model (see, for instance, Ref. 4) for the nuclei, and the cold fermion gas model (see, for instance, Ref. 5) for the electrons should be valid. Within the core, due to the extreme electron degeneracy, the heat transfer is dominated by electron thermal conduction, which is very efficient in these conditions, and the temperature gradients are small.The whole cooling process of the WD may therefore be regulated by its outer, thin, isolating envelope, in which heat transfer occurs mostly by radiative transfer and convection, except for the coolest WDs (surface temperature ≲ 3000 K). The nucleosynthesis and stellar evolution result in stars entering the WD stage with a somewhat layered structure. Then, due to the strong gravity, the element-diffusion equilibrium of the WD results in an even-more strat...