Abstract
In this paper, an improved calculation method of the individual electron accounting model (IEM) is proposed, and based on it, the ionization state of materials in the high energy density system is calculated. The Newton–Raphson method is introduced to the IEM to establish a method for calculating the ionization state that can ensure high accuracy with a small number of iterations. The method for determining the Zimmerman–More parameters used in this method is established. The reliability of the proposed method is verified through comparison with the calculation results of the Thomas–Fermi model and the BADGER code.
Highlights
The increasing significance of high energy and density physics (HEDP) results from its widespread use in the interactions of materials with astrophysics, inertial confinement fusion, ion beam, electron beam, or high-power laser.1–3 HEDP experiments are usually designed and analyzed utilizing numerical hydrodynamic simulations to obtain space- and time-dependent density–temperature profiles
The reliability of the hydrodynamic simulation is guaranteed entirely by the accuracy of the equation of state (EOS) of matter, that is, the relationship between pressure and energy expressed as a function of density and temperature
The ionization state of a material depends on its temperature and density, and the accurate evaluation greatly affects the accuracy of the electron EOS
Summary
The increasing significance of high energy and density physics (HEDP) results from its widespread use in the interactions of materials with astrophysics, inertial confinement fusion, ion beam, electron beam, or high-power laser. HEDP experiments are usually designed and analyzed utilizing numerical hydrodynamic simulations to obtain space- and time-dependent density–temperature profiles. The increasing significance of high energy and density physics (HEDP) results from its widespread use in the interactions of materials with astrophysics, inertial confinement fusion, ion beam, electron beam, or high-power laser.. HEDP experiments are usually designed and analyzed utilizing numerical hydrodynamic simulations to obtain space- and time-dependent density–temperature profiles. The reliability of the hydrodynamic simulation is guaranteed entirely by the accuracy of the equation of state (EOS) of matter, that is, the relationship between pressure and energy expressed as a function of density and temperature.. The important thing in obtaining the electron EOS is the evaluation of the ionization state of materials. The ionization state of a material depends on its temperature and density, and the accurate evaluation greatly affects the accuracy of the electron EOS
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