Simple expression of occupation probability in the "chemical picture"

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We propose a simple analytical expression for the occupation probability of highly excited states in low-density hydrogenic plasmas. This expression is based on the "chemical picture" and is derived by using the Holtsmark field and the saddle-point estimates. We believe that this expression would be a basic model in the chemical picture since ion-ion correlation is neglected and the simple saddle-point estimates are used. If the density of the plasma is low enough and the temperature is high enough, this expression would be a good approximation. If not, this model gives roughly the critical principal quantum number at which bound states disappear and the basic reference numerical values of the occupation probability for quantitative comparison study with numerical results by detailed modeling.

Original languageEnglish
Pages (from-to)670-672
Number of pages3
JournalAstrophysical Journal
Volume532
Issue number1 PART 1
Publication statusPublished - Mar 20 2000

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occupation
plasma
ion
saddle points
estimates
plasma density
quantum numbers
modeling
ions
chemical
approximation
excitation
comparison

Keywords

  • Atomic processes
  • Plasmas

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Space and Planetary Science

Cite this

Simple expression of occupation probability in the "chemical picture". / Nishikawa, Takeshi.

In: Astrophysical Journal, Vol. 532, No. 1 PART 1, 20.03.2000, p. 670-672.

Research output: Contribution to journalArticle

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AB - We propose a simple analytical expression for the occupation probability of highly excited states in low-density hydrogenic plasmas. This expression is based on the "chemical picture" and is derived by using the Holtsmark field and the saddle-point estimates. We believe that this expression would be a basic model in the chemical picture since ion-ion correlation is neglected and the simple saddle-point estimates are used. If the density of the plasma is low enough and the temperature is high enough, this expression would be a good approximation. If not, this model gives roughly the critical principal quantum number at which bound states disappear and the basic reference numerical values of the occupation probability for quantitative comparison study with numerical results by detailed modeling.

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