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 language | English |
|---|---|
| Pages (from-to) | 670-672 |
| Number of pages | 3 |
| Journal | Astrophysical Journal |
| Volume | 532 |
| Issue number | 1 PART 1 |
| Publication status | Published - Mar 20 2000 |
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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 journal › Article
}
TY - JOUR
T1 - Simple expression of occupation probability in the "chemical picture"
AU - Nishikawa, Takeshi
PY - 2000/3/20
Y1 - 2000/3/20
N2 - 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.
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.
KW - Atomic processes
KW - Plasmas
UR - http://www.scopus.com/inward/record.url?scp=0034688744&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034688744&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0034688744
VL - 532
SP - 670
EP - 672
JO - Astrophysical Journal
JF - Astrophysical Journal
SN - 0004-637X
IS - 1 PART 1
ER -