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.
DOI: 10.5802/msia.8
@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},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {6},
number = {2},
year = {2013},
doi = {10.5802/msia.8},
mrnumber = {3126396},
zbl = {1331.82058},
language = {en},
url = {http://www.numdam.org/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://www.numdam.org/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://www.numdam.org/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, Volume 6 (2013) no. 2, pp. 1-14. doi : 10.5802/msia.8. http://www.numdam.org/articles/10.5802/msia.8/
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