About the link between the detailed description of transitions in an ion and the average-ion models
Guido Cavallaro, Laurent Desvillettes, and Valeria Ricci
Source: Commun. Math. Sci. Volume 7, Number 2 (2009), 471-488.
Abstract
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.
Primary Subjects: 35Q40, 82D10, 37M05
Secondary Subjects: 34C11
Keywords: Average-ion models; microscopic models; rigorous asymptotics; comparison of solutions
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Communications in Mathematical Sciences
