no. 2
A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells
Daniel Bouche1 ; Alain Decoster1 ; Laurent Desvillettes2 ; Valeria Ricci3
1 ENS Cachan, CMLA, CNRS 61 Av. du President Wilson 94235 Cachan Cedex and CEA/DIF Bruyères-Le-Châtel, 91297 Arpajon Cedex, FRANCE
2 ENS Cachan, CMLA, CNRS 61 Av. du President Wilson 94235 Cachan Cedex, FRANCE
3 Dipartimento di Matematica e Informatica, Università degli Studi di Palermo Via Archirafi 34, I90123 Palermo, ITALY
MathematicS In Action, Tome 6 (2013) no. 2, pp. 1-14.

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 configuration probabilities. Numerical simulations illustrating the improvements with respect to standard average ion models are presented at the end of the paper.

Publié le :
DOI : 10.5802/msia.8
Daniel Bouche 1 ; Alain Decoster 1 ; Laurent Desvillettes 2 ; Valeria Ricci 3

1 ENS Cachan, CMLA, CNRS 61 Av. du President Wilson 94235 Cachan Cedex and CEA/DIF Bruyères-Le-Châtel, 91297 Arpajon Cedex, FRANCE
2 ENS Cachan, CMLA, CNRS 61 Av. du President Wilson 94235 Cachan Cedex, FRANCE
3 Dipartimento di Matematica e Informatica, Università degli Studi di Palermo Via Archirafi 34, I90123 Palermo, ITALY 
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Daniel Bouche; Alain Decoster; Laurent Desvillettes; Valeria Ricci. A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells. MathematicS In Action, Tome 6 (2013) no. 2, pp. 1-14. doi : 10.5802/msia.8. https://msia.centre-mersenne.org/articles/10.5802/msia.8/

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