A Model of Calculating Radiative Opacities of Hot Dense Plasmas Based on the Density-Functional Theory

Shuji Kiyokawa

doi:10.1155/2014/431592

Abstract

We determine the radiative opacity of plasmas in a local thermal equilibrium (LTE) by time-dependent density-functional theory (TDDFT) including autoionization resonances, where the photoabsorption cross section is calculated for an ion embedded in the plasma using the detailed configuration accounting (DCA) method. The abundance of ion with integer occupation numbers is determined by means of the finite temperature density-functional theory (FTDFT). For an Al plasma of temperature T=20 eV and density 0.01 g/cm3, we show the opacity and the photoabsorption cross section of b-f and b-b transitions with Doppler and Stark width, and also show a result that the Planck and Rosseland mean opacities are 28,348 cm2/g and 4,279 cm2/g, respectively.

Highlights

For investigation of hot dense plasmas, the density-functional theory has been used to calculate their atomic properties and has provided reliable data such as electronic structure, equation of state (EOS), and opacity [1,2,3,4,5,6,7]
To calculate the opacity of plasmas, we have considered the time-dependent density-functional theory (TDDFT) to treat the photoabsorption cross section of plasmas, where the autoionization process is included without using any other code [15]
We propose a new model of calculating radiative opacity of hot dense plasmas in local thermal equilibrium (LTE) using the detailed configuration accounting (DCA) including bb and bf contributions and autoionization contributions

Summary

Introduction

For investigation of hot dense plasmas, the density-functional theory has been used to calculate their atomic properties and has provided reliable data such as electronic structure, equation of state (EOS), and opacity [1,2,3,4,5,6,7]. One of methods of calculating the autoionization in the dense plasmas is the time-dependent density-functional theory which is treated the autoionization resonance as the dynamical linear response of electronic system. To calculate the opacity of plasmas, we have considered the time-dependent density-functional theory (TDDFT) to treat the photoabsorption cross section of plasmas, where the autoionization process is included without using any other code [15]. In this method, LTE plasmas are treated by finite temperature density-functional theory (FTDFT) [16, 17] and all the calculations are carried out within the framework of densityfunctional theory (DFT).

A Self-Consistent Model of Plasmas

A Modeling of Absorption Cross Section

Results and Discussion

Conclusion