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Matematicheskoe modelirovanie, 2015, Volume 27, Number 4, Pages 31–49 (Mi mm3589)  
This article is cited in 9 scientific papers (total in 9 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)
Full-text PDF (571 kB) Citations (9)
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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.
Received: 08.05.2014
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 6, Pages 518–530
DOI: https://doi.org/10.1134/S2070048215060046
Bibliographic databases:
Document Type: Article
UDC: 533.9
Language: Russian
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{https://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{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84947430346}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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