Geodesic
A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells
Bouche, Daniel1 ; Decoster, Alain1 ; Desvillettes, Laurent2 ; Ricci, Valeria3
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 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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

Bouche, Daniel 1 ; Decoster, Alain 1 ; Desvillettes, Laurent 2 ; Ricci, Valeria 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 
@article{MSIA_2013__6_2_1_0,
     author = {Bouche, Daniel and Decoster, Alain and Desvillettes, Laurent and Ricci, Valeria},
     title = {A {Coherent} {Derivation} of an {Average} {Ion} {Model} {Including} the {Evolution} of {Correlations} {Between} {Different} {Shells}},
     journal = {MathematicS In Action},
     pages = {1--14},
     year = {2013},
     publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
     volume = {6},
     number = {2},
     doi = {10.5802/msia.8},
     mrnumber = {3126396},
     zbl = {1331.82058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/msia.8/}
}
TY  - JOUR
AU  - Bouche, Daniel
AU  - Decoster, Alain
AU  - Desvillettes, Laurent
AU  - Ricci, Valeria
TI  - A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells
JO  - MathematicS In Action
PY  - 2013
SP  - 1
EP  - 14
VL  - 6
IS  - 2
PB  - Société de Mathématiques Appliquées et Industrielles
UR  - http://geodesic.mathdoc.fr/articles/10.5802/msia.8/
DO  - 10.5802/msia.8
LA  - en
ID  - MSIA_2013__6_2_1_0
ER  - 
%0 Journal Article
%A Bouche, Daniel
%A Decoster, Alain
%A Desvillettes, Laurent
%A Ricci, Valeria
%T A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells
%J MathematicS In Action
%D 2013
%P 1-14
%V 6
%N 2
%I Société de Mathématiques Appliquées et Industrielles
%U http://geodesic.mathdoc.fr/articles/10.5802/msia.8/
%R 10.5802/msia.8
%G en
%F MSIA_2013__6_2_1_0
Bouche, Daniel; Decoster, Alain; Desvillettes, Laurent; Ricci, Valeria. 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

Cité par Sources :