Bouche, Daniel; Decoster, Alain; Desvillettes, Laurent; Ricci, Valeria A coherent derivation of an average ion model including the evolution of correlations between different shells. (English) Zbl 1331.82058 MathS In Action 6, No. 2, 1-14 (2013). Summary: 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. Cited in 1 Document MSC: 82D10 Statistical mechanics of plasmas 82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics Keywords:different shells; average ion model; plasma × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Cavallaro, G.; Desvillettes, L.; Ricci, V., About the link between the detailed description of transitions in an ion and the average-ion models, Commun. Math. Sci., 7, 2, 471-488 (2009) · Zbl 1181.35164 · doi:10.4310/CMS.2009.v7.n2.a10 [2] Dallot, P.; Faussurier, G.; Decoster, A.; Mirone, A., Average-ion level-population correlations in off-equilibrium plasmas, Phys. Rev. E, 57, 1017-1028 (1998) · doi:10.1103/PhysRevE.57.1017 [3] Djaoui, A.; Rose., S. J., Calculation of the time-dependent excitation and ionization in a laser-produced plasma, J. Phys. B: At. Mol. Opt. Phys., 25, 2745-2762 (1992) · doi:10.1088/0953-4075/25/11/026 [4] Lax, M., Fluctuations from the nonequilibrium steady state, Rev. Mod. Phys., 32, 25-64 (1960) · Zbl 0128.22607 · doi:10.1103/RevModPhys.32.25 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.