Jean-Christophe Pain , Daniel Aberg , Brian G. Wilson
{"title":"On the number of atomic configurations in hot plasmas","authors":"Jean-Christophe Pain , Daniel Aberg , Brian G. Wilson","doi":"10.1016/j.hedp.2025.101174","DOIUrl":null,"url":null,"abstract":"<div><div>We propose approximate and accurate formulas for the number of electron configurations in hot plasmas. Such a quantity is an ingredient of algorithms devoted to the generation of configurations or superconfigurations, which is a pre-requisite of opacity calculations. One of the main formulas involves Bessel functions of fractional order and the procedure for improving the accuracy through a series expansion is explained.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"54 ","pages":"Article 101174"},"PeriodicalIF":1.6000,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"High Energy Density Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1574181825000023","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, FLUIDS & PLASMAS","Score":null,"Total":0}
引用次数: 0
Abstract
We propose approximate and accurate formulas for the number of electron configurations in hot plasmas. Such a quantity is an ingredient of algorithms devoted to the generation of configurations or superconfigurations, which is a pre-requisite of opacity calculations. One of the main formulas involves Bessel functions of fractional order and the procedure for improving the accuracy through a series expansion is explained.
期刊介绍:
High Energy Density Physics is an international journal covering original experimental and related theoretical work studying the physics of matter and radiation under extreme conditions. ''High energy density'' is understood to be an energy density exceeding about 1011 J/m3. The editors and the publisher are committed to provide this fast-growing community with a dedicated high quality channel to distribute their original findings.
Papers suitable for publication in this journal cover topics in both the warm and hot dense matter regimes, such as laboratory studies relevant to non-LTE kinetics at extreme conditions, planetary interiors, astrophysical phenomena, inertial fusion and includes studies of, for example, material properties and both stable and unstable hydrodynamics. Developments in associated theoretical areas, for example the modelling of strongly coupled, partially degenerate and relativistic plasmas, are also covered.