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Abstract
An ion embedded in warm/hot dense plasmas will greatly alter its microscopic structure and dynamics, as well as the macroscopic radiation transport properties of the plasmas, due to complicated many-body interactions with surrounding particles. Accurate theoretically modeling of such kind of quantum many-body interactions is essential but very challenging. In this work, we propose an atomic-state-dependent screening model for treating the plasmas with a wide range of temperatures and densities, in which the contributions of three-body recombination processes are included. We show that the electron distributions around an ion are strongly correlated with the ionic state studied due to the contributions of three-body recombination processes. The feasibility and validation of the proposed model are demonstrated by reproducing the experimental result of the line-shift of hot-dense plasmas as well as the classical molecular dynamic simulations of moderately coupled ultra-cold neutral plasmas. Our work opens a promising way to treat the screening effect of hot and warm dense plasma, which is a bottleneck of those extensive studies in high-energy-density physics, such as atomic processes in plasma, plasma spectra and radiation transport properties, among others.
Highlights
An ion embedded in warm/hot dense plasmas will greatly alter its microscopic structure and dynamics, as well as the macroscopic radiation transport properties of the plasmas, due to complicated many-body interactions with surrounding particles
For atoms embedded in dense plasma, strong plasma screening effects are encountered due to complicated many-body interactions with the surrounding plasma, which significantly affects the atomic energy levels and wave functions, resulting in ionization potential depression (IPD), line shift, and remarkable changes in the photon, electron, and ion scattering cross sections[12,13]
Numbers of analytic models, such as the uniform electron gas model (UEGM)[19], Ecker–Kröll (EK)[20], Stewart–Pyatt (SP)[21], and the models based on the analytic fits to IS potentials[22,23,24], are proposed and widely used in the calculation of IPDs and line shifts in dense plasmas
Summary
An ion embedded in warm/hot dense plasmas will greatly alter its microscopic structure and dynamics, as well as the macroscopic radiation transport properties of the plasmas, due to complicated many-body interactions with surrounding particles. We propose an atomic-state-dependent screening model for treating the plasmas with a wide range of temperatures and densities, in which the contributions of three-body recombination processes are included. Numbers of analytic models, such as the uniform electron gas model (UEGM)[19], Ecker–Kröll (EK)[20], Stewart–Pyatt (SP)[21], and the models based on the analytic fits to IS potentials[22,23,24], are proposed and widely used in the calculation of IPDs and line shifts in dense plasmas Note that these models are developed based on the electron distribution from Boltzmann or Fermi–Dirac statistics, and their applications in treating hot dense plasmas are very limited due to the complicated many-body correlations involved in modeling dense plasma. IPD data have been made using different numerical and simulation methods, including Two-step Hartree–Fock (HF) calculations[29], quantum statistical approach[30,31], simulations based on the finite-temperature density functional theory[32], and classical molecular dynamics simulations[33]
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