Communications in Mathematical Sciences
Volume 7 (2009)
About the link between the detailed description of transitions in an ion and the average-ion models
Pages: 471 – 488
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.
Average-ion models; microscopic models; rigorous asymptotics; comparison of solutions
2010 Mathematics Subject Classification
Primary 35Q40, 37M05, 82D10. Secondary 34C11.