# A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells

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

MathematicS In Action (2013)

- Volume: 6, Issue: 2, page 1-14
- ISSN: 2102-5754

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topBouche, Daniel, et al. "A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells." MathematicS In Action 6.2 (2013): 1-14. <http://eudml.org/doc/275772>.

@article{Bouche2013,

abstract = {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.},

affiliation = {ENS Cachan, CMLA, CNRS 61 Av. du President Wilson 94235 Cachan Cedex and CEA/DIF Bruyères-Le-Châtel, 91297 Arpajon Cedex, FRANCE; ENS Cachan, CMLA, CNRS 61 Av. du President Wilson 94235 Cachan Cedex and CEA/DIF Bruyères-Le-Châtel, 91297 Arpajon Cedex, FRANCE; ENS Cachan, CMLA, CNRS 61 Av. du President Wilson 94235 Cachan Cedex, FRANCE; Dipartimento di Matematica e Informatica, Università degli Studi di Palermo Via Archirafi 34, I90123 Palermo, ITALY},

author = {Bouche, Daniel, Decoster, Alain, Desvillettes, Laurent, Ricci, Valeria},

journal = {MathematicS In Action},

keywords = {different shells; average ion model; plasma},

language = {eng},

number = {2},

pages = {1-14},

publisher = {Société de Mathématiques Appliquées et Industrielles},

title = {A Coherent Derivation of an Average Ion Model Including the Evolution of Correlations Between Different Shells},

url = {http://eudml.org/doc/275772},

volume = {6},

year = {2013},

}

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

PB - Société de Mathématiques Appliquées et Industrielles

VL - 6

IS - 2

SP - 1

EP - 14

AB - 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.

LA - eng

KW - different shells; average ion model; plasma

UR - http://eudml.org/doc/275772

ER -

## References

top- G. Cavallaro, L. Desvillettes, V. Ricci, About the link between the detailed description of transitions in an ion and the average-ion models, Commun. Math. Sci. 7 (2009), 471-488 Zbl1181.35164MR2536448
- P. Dallot, G. Faussurier, A. Decoster, A. Mirone, Average-ion level-population correlations in off-equilibrium plasmas, Phys. Rev. E 57 (1998), 1017-1028
- A. Djaoui, S. J. Rose., Calculation of the time-dependent excitation and ionization in a laser-produced plasma, J. Phys. B: At. Mol. Opt. Phys. 25 (1992), 2745-2762
- M. Lax, Fluctuations from the nonequilibrium steady state, Rev. Mod. Phys. 32 (1960), 25-64 Zbl0128.22607

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