About the link between the detailed description of transitions in an ion and the average-ion models

We study the link which exists between microscopic (detailed) models for the evolution of the electronic configurations in a population of ions and the macroscopic (average ion) models. Rigorous asymptotics are presented in situations where they exist (large temperature; almost empty or almost full shells), and numerical simulations are presented.

Keywords

Average-ion models, microscopic models, rigorous asymptotics, comparison of solutions

2010 Mathematics Subject Classification

Primary 35Q40, 37M05, 82D10. Secondary 34C11.

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Published 1 January 2009