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

Abstract

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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.

How to cite

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Bouche, 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

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  1. 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
  2. P. Dallot, G. Faussurier, A. Decoster, A. Mirone, Average-ion level-population correlations in off-equilibrium plasmas, Phys. Rev. E 57 (1998), 1017-1028 
  3. 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 
  4. M. Lax, Fluctuations from the nonequilibrium steady state, Rev. Mod. Phys. 32 (1960), 25-64 Zbl0128.22607

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