Continuous free-electron state-density modeling based on plasma microfield

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Following the atomic model based on the microfield in a plasma for bound states [Astrophysical Journal 532, 670 (2000)], I have considered an atomic modeling for computing the free-electron state-density based on the plasma microfield. In the atomic model based on the plasma microfield, it is considered that an ion in plasma is immersed in a uniform electric field that is the contribution of field values averaged over the other ions in the plasma. It has been expected a modeling for the free-state density consistent with its bound state, because the resulting free-state densities by the simple atomic model based on the plasma microfield has been found to be invalid. In this study, I have obtained a physically appropriate free-state density under the assumption that the large electric field component can be considered to exist due to the electric field originating from the nearest neighboring ion and the resulting potential around the ion shows mirror symmetry about the saddle point. The resulting state density is consistent with the experimental results. The inclusion of the free-state density has caused a slight deviation in the values of the average ionization degree of hydrogenic plasmas

Original languageEnglish
Article number1401142
JournalPlasma and Fusion Research
Volume7
Issue number2012
DOIs
Publication statusPublished - 2012

Fingerprint

electron states
free electrons
electric fields
ions
saddle points
astrophysics
inclusions
mirrors
deviation
ionization
symmetry

Keywords

  • Average ionization degree
  • Free state
  • Microfield
  • Saha-Boltzmann
  • State density
  • Statistical weight

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Continuous free-electron state-density modeling based on plasma microfield. / Nishikawa, Takeshi.

In: Plasma and Fusion Research, Vol. 7, No. 2012, 1401142, 2012.

Research output: Contribution to journalArticle

@article{04c559fc7e694918b139d5e2dd5a5fe8,
title = "Continuous free-electron state-density modeling based on plasma microfield",
abstract = "Following the atomic model based on the microfield in a plasma for bound states [Astrophysical Journal 532, 670 (2000)], I have considered an atomic modeling for computing the free-electron state-density based on the plasma microfield. In the atomic model based on the plasma microfield, it is considered that an ion in plasma is immersed in a uniform electric field that is the contribution of field values averaged over the other ions in the plasma. It has been expected a modeling for the free-state density consistent with its bound state, because the resulting free-state densities by the simple atomic model based on the plasma microfield has been found to be invalid. In this study, I have obtained a physically appropriate free-state density under the assumption that the large electric field component can be considered to exist due to the electric field originating from the nearest neighboring ion and the resulting potential around the ion shows mirror symmetry about the saddle point. The resulting state density is consistent with the experimental results. The inclusion of the free-state density has caused a slight deviation in the values of the average ionization degree of hydrogenic plasmas",
keywords = "Average ionization degree, Free state, Microfield, Saha-Boltzmann, State density, Statistical weight",
author = "Takeshi Nishikawa",
year = "2012",
doi = "10.1585/pfr.7.1401142",
language = "English",
volume = "7",
journal = "Plasma and Fusion Research",
issn = "1880-6821",
publisher = "The Japan Society of Plasma Science and Nuclear Fusion Research (JSPF)",
number = "2012",

}

TY - JOUR

T1 - Continuous free-electron state-density modeling based on plasma microfield

AU - Nishikawa, Takeshi

PY - 2012

Y1 - 2012

N2 - Following the atomic model based on the microfield in a plasma for bound states [Astrophysical Journal 532, 670 (2000)], I have considered an atomic modeling for computing the free-electron state-density based on the plasma microfield. In the atomic model based on the plasma microfield, it is considered that an ion in plasma is immersed in a uniform electric field that is the contribution of field values averaged over the other ions in the plasma. It has been expected a modeling for the free-state density consistent with its bound state, because the resulting free-state densities by the simple atomic model based on the plasma microfield has been found to be invalid. In this study, I have obtained a physically appropriate free-state density under the assumption that the large electric field component can be considered to exist due to the electric field originating from the nearest neighboring ion and the resulting potential around the ion shows mirror symmetry about the saddle point. The resulting state density is consistent with the experimental results. The inclusion of the free-state density has caused a slight deviation in the values of the average ionization degree of hydrogenic plasmas

AB - Following the atomic model based on the microfield in a plasma for bound states [Astrophysical Journal 532, 670 (2000)], I have considered an atomic modeling for computing the free-electron state-density based on the plasma microfield. In the atomic model based on the plasma microfield, it is considered that an ion in plasma is immersed in a uniform electric field that is the contribution of field values averaged over the other ions in the plasma. It has been expected a modeling for the free-state density consistent with its bound state, because the resulting free-state densities by the simple atomic model based on the plasma microfield has been found to be invalid. In this study, I have obtained a physically appropriate free-state density under the assumption that the large electric field component can be considered to exist due to the electric field originating from the nearest neighboring ion and the resulting potential around the ion shows mirror symmetry about the saddle point. The resulting state density is consistent with the experimental results. The inclusion of the free-state density has caused a slight deviation in the values of the average ionization degree of hydrogenic plasmas

KW - Average ionization degree

KW - Free state

KW - Microfield

KW - Saha-Boltzmann

KW - State density

KW - Statistical weight

UR - http://www.scopus.com/inward/record.url?scp=84879076426&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879076426&partnerID=8YFLogxK

U2 - 10.1585/pfr.7.1401142

DO - 10.1585/pfr.7.1401142

M3 - Article

AN - SCOPUS:84879076426

VL - 7

JO - Plasma and Fusion Research

JF - Plasma and Fusion Research

SN - 1880-6821

IS - 2012

M1 - 1401142

ER -