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Matem. Mod., 2015, Volume 27, Number 4, Pages 31–49 (Mi mm3589)  

This article is cited in 5 scientific papers (total in 5 papers)

The widerange equation of state for gasios and liquid plasma

N. N. Kalitkina, K. I. Lutskiyb

a Keldysh Institute of Applied Mathematics of Rus. Acad. Sci.
b National Research University of Electronic Technology (MIET)

Abstract: New correction for charged particles interaction in gasios plasma was proposed and validated. Using this correction in Saha equations allowed to formally apply them to zero temperature. This gives reasonable values for ionizatoin degree and thermodynamics. This essentially expands Saha equations to extra-high densities and moderate temperatures, where plasma becomes liquid. Addional classic Debay model was improved and the Simple harmonic oscillators model was disproven.
Liquid plasme is well described with the Thomas–Fermi model with quantum and excange corrections. A superfast algorithm was proposed to solve equations of this model. By means of special interpolation Thomas–Fermi model is joined with the Saha model. This gives wide-range queation of state for gasion and liquid plasma.
Accrording to this model hugoniots were calculated with radiation terms. Shell effects were analyzed.

Keywords: plasma, Saha equations, Thomas–Fermi model, charged particles interaction, widerange equation of state, hugoniots, shell efffects.

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English version:
Mathematical Models and Computer Simulations, 2015, 7:6, 518–530

UDC: 533.9
Received: 08.05.2014

Citation: N. N. Kalitkin, K. I. Lutskiy, “The widerange equation of state for gasios and liquid plasma”, Matem. Mod., 27:4 (2015), 31–49; Math. Models Comput. Simul., 7:6 (2015), 518–530

Citation in format AMSBIB
\Bibitem{KalLut15}
\by N.~N.~Kalitkin, K.~I.~Lutskiy
\paper The widerange equation of state for gasios and liquid plasma
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 4
\pages 31--49
\mathnet{http://mi.mathnet.ru/mm3589}
\elib{http://elibrary.ru/item.asp?id=24850011}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 6
\pages 518--530
\crossref{https://doi.org/10.1134/S2070048215060046}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84947430346}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Kalitkin N.N., Kozlitin I.A., “Saha Model Including Volumes of Ions”, Dokl. Phys., 61:12 (2016), 579–582  crossref  isi  scopus
    2. Dyachkov S.A., Levashov P.R., Minakov D.V., “Region of Validity of the Thomas Fermi Model With Quantum, Exchange and Shell Corrections”, Xxxi International Conference on Equations of State For Matter (Elbrus 2016), Journal of Physics Conference Series, 774, IOP Publishing Ltd, 2016, UNSP 012006  crossref  isi  scopus
    3. N. N. Kalitkin, I. A. Kozlitin, “Plasma equation of state accounting for ion core volume”, Ann. Phys., 396 (2018), 468–478  crossref  isi  scopus
    4. N. N. Kalitkin, I. A. Kozlitin, L. V. Kuzmina, P. V. Koryakin, R. V. Golovanov, A. A. Belov, “Baza dannykh TEFIS. Termodinamicheskie svoistva veschestv”, Preprinty IPM im. M. V. Keldysha, 2018, 219, 20 pp.  mathnet  crossref
    5. N. N. Kalitkin, I. A. Kozlitin, A. A. Belov, “Thermodynamically consistent equations of state”, Mosc. Univ. Phys. Bull., 73:5 (2018), 507–512  crossref  isi  scopus
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