Search results for "average-ion models"

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A Coherent derivation of an average ion model including the evolution of correlations between different shells

2013

We propose in this short note a method enabling to write in a systematic way a set of refined equations for average ion models in which correlations between populations are taken into account, starting from a microscopic model for the evolution of the electronic configura- tion probabilities. Numerical simulations illustrating the improvements with respect to standard average ion models are presented at the end of the paper.

Classical mechanicsChemistryStatistical physicsPlasmaaverage-ion models shell correlations microscopic modelIon
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About the link between the detailed description of transitions in an ion and the average-ion models

2009

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.

Physicseducation.field_of_studyApplied MathematicsGeneral MathematicsAverage-ion modelsrigorous asymptoticsPopulationcomparison of solutions34C11Ion37M0535Q40Statistical physicsElectron configurationmicroscopic models82D10Link (knot theory)education
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