Charge State Distributions in Dense Plasmas

Charge state distributions in hot, dense plasmas are a key ingredient in the calculation of spectral quantities like the opacity. However, they are challenging to calculate, as models like Saha-Boltzmann become unreliable for dense, quantum plasmas. Here we present a new variational model for the ch...

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Bibliographic Details
Published in:arXiv.org 2020-09
Main Authors: White, J, Johns, W, Fontes, C J, Gill, N M, Shaffer, N R, Starrett, C E
Format: Article
Language:English
Subjects:
Charge density
Charge distribution
Dense plasmas
Local thermodynamic equilibrium
Mathematical analysis
Online Access:Get full text
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Summary:Charge state distributions in hot, dense plasmas are a key ingredient in the calculation of spectral quantities like the opacity. However, they are challenging to calculate, as models like Saha-Boltzmann become unreliable for dense, quantum plasmas. Here we present a new variational model for the charge state distribution, along with a simple model for the energy of the configurations that includes the orbital relaxation effect. Comparison with other methods reveals generally good agreement with average atom based calculations, the breakdown of the Saha-Boltzmann method, and mixed agreement with a chemical model. We conclude that the new model gives a relatively inexpensive, but reasonably high fidelity method of calculating the charge state distribution in hot dense plasmas, in local thermodynamic equilibrium.
ISSN:2331-8422
DOI:10.48550/arxiv.2009.11821