Communications in Mathematical Sciences

Volume 7 (2009)

Number 2

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

Pages: 471 – 488

DOI: http://dx.doi.org/10.4310/CMS.2009.v7.n2.a10

Authors

Guido Cavallaro

Laurent Desvillettes

Valeria Ricci

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.

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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