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TVT, 2017, Volume 55, Issue 4, Pages 596–626 (Mi tvt10810)  

This article is cited in 24 scientific papers (total in 24 papers)

Review

Wide-range semiempirical equations of state of matter for numerical simulation on high-energy processes

I. V. Lomonosovabcde, S. V. Fortovaf

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c Tomsk State University
d Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow
e Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region
f Institute for Computer Aided Design of RAS, Moscow

Abstract: An equation of state is a fundamental characteristic of a substance. it is necessary in numerous studies and practically important problems of high energy density physics. in this review, we consider the modern requirements to equations of state, theoretical and experimental methods used to study the thermodynamic properties of a substance, different aspects of constructing wide-range equations of state, and examples of application of wide-range equations of state in simulation of high-energy processes.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 11
5
33
Russian Science Foundation 17-11-01293


DOI: https://doi.org/10.7868/S0040364417040111

Full text: PDF file (1848 kB)
References: PDF file   HTML file

English version:
High Temperature, 2017, 55:4, 585–610

Bibliographic databases:

UDC: 536.2
Received: 23.01.2017

Citation: I. V. Lomonosov, S. V. Fortova, “Wide-range semiempirical equations of state of matter for numerical simulation on high-energy processes”, TVT, 55:4 (2017), 596–626; High Temperature, 55:4 (2017), 585–610

Citation in format AMSBIB
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\paper Wide-range semiempirical equations of state of matter for numerical simulation on high-energy processes
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\pages 596--626
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\crossref{https://doi.org/10.7868/S0040364417040111}
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\transl
\jour High Temperature
\yr 2017
\vol 55
\issue 4
\pages 585--610
\crossref{https://doi.org/10.1134/S0018151X17040113}
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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. Khishchenko K.V., “Equation of State of Sodium For Modeling of Shock-Wave Processes At High Pressures”, Math. Montisnigri, 40 (2017), 140–147  isi
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    3. M. S. Krivokorytov, Q. Zeng, B. V. Lakatosh, A. Yu. Vinokhodov, Yu. V. Sidelnikov, V. O. Kompanets, V. M. Krivtsun, K. N. Koshelev, C. D. Ohl, V. V. Medvedev, “Shaping and controlled fragmentation of liquid metal droplets through cavitation”, Sci. Rep., 8 (2018), 597  crossref  isi  scopus
    4. V. K. Khishchenko, “Equation of state for magnesium hydride under conditions of shock loading”, Math. Montisnigri, 43 (2018), 70–77  isi
    5. K. V. Khishchenko, “Equation of state for potassium in shock waves at high pressures”, XXXII International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018, UNSP 012082  crossref  isi  scopus
    6. I. V. Kudryavtseva, V. A. Rykov, S. V. Rykov, E. E. Ustyuzhanin, “A new variant of a scaling hypothesis and a fundamental equation of state based on it”, XXXII International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018, UNSP 012118  crossref  isi  scopus
    7. V. F. Ochkov, V. A. Rykov, S. V. Rykov, E. E. Ustyuzhanin, B. E. Znamensky, “Extrapolation of IAPWS-IF97 data: The liquid and gas densities on the saturation line near the critical point of H$_2$O”, XXXII International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018, UNSP 012119  crossref  isi  scopus
    8. K. V. Khishchenko, “Equation of state for lithium in shock waves”, Math. Montisnigri, 41 (2018), 91–98  mathscinet  isi
    9. K. K. Maevskii, “Thermodynamic parameters of lithium deuteride in pressure range 5-1000 gigapascals”, Math. Montisnigri, 41 (2018), 123–130  isi
    10. K. K. Maevskii, S. A. Kinelovskii, “Thermodynamic parameters of mixtures with silicon nitride under shock-wave impact in terms of equilibrium model”, High Temperature, 56:6 (2018), 853–858  mathnet  crossref  crossref  isi  elib
    11. S. V. Fortova, P. S. Utkin, T. S. Kazakova, “Three-dimensional numerical simulation of the development of instability of a contact boundary of colliding metal plates within the gasdynamic approximation”, High Temperature, 57:2 (2019), 236–241  mathnet  crossref  crossref  isi  elib
    12. N. Yu. Orlov, M. A. Kadatskiy, O. B. Denisov, V K. Khishchenko, “Application of quantum-statistical methods to studies of thermodynamic and radiative processes in hot dense plasmas”, Matter Radiat. Extrem., 4:5 (2019), UNSP 054403  crossref  isi  scopus
    13. K. K. Maevskii, S. A. Kinelovskii, “Numerical simulation of thermodynamic parameters of high-porosity copper”, Tech. Phys., 64:8 (2019), 1090–1095  crossref  isi  scopus
    14. K. K. Maevskii, S. A. Kinelovskii, “Modeling of high-porosity copper-based mixtures under shock loading”, J. Appl. Mech. Tech. Phys., 60:4 (2019), 612–619  crossref  isi  scopus
    15. O. P. Shemyakin, P. R. Levashov, P. A. Krasnova, “Tfmix: a high-precision implementation of the finite-temperature thomas-fermi model for a mixture of atoms”, Comput. Phys. Commun., 235 (2019), 378–387  crossref  isi  scopus
    16. K. K. Maevskii, “Thermodynamic parameters of mixtures with silicon nitride under shock-wave loading”, Math. Montisnigri, 45 (2019), 52–59  crossref  isi
    17. K. Maevskii, “Modelling of polymorphic phase transitions under shock wave loading”, Proceedings of the X All-Russian Conference Fundamental and Applied Problems of Modern Mechanics (Fapmm 2018), AIP Conf. Proc., 2103, ed. A. Glazunov, E. Shrager, M. Orlov, Amer. Inst. Phys., 2019, 020009  crossref  isi  scopus
    18. V O. Sergeev , A. E. Mukhanov, S. A. Murzov, V A. Yanilkin, “Complete equations of state for petn and its products from atomistic simulations”, Phys. Chem. Chem. Phys., 22:47 (2020), 27572–27580  crossref  isi  scopus
    19. K. V. Khishchenko, “Equation of state for rhenium at high pressures”, Xxxiv International Conference on Interaction of Intense Energy Fluxes With Matter, Journal of Physics Conference Series, 1556, IOP Publishing Ltd, 2020, 012041  crossref  isi  scopus
    20. V. A. Khokhlov, N. A. Inogamov, V. V. Zhakhovsky, “Laser ablation in liquid: heating, diffusion, and condensation”, Xxxiv International Conference on Interaction of Intense Energy Fluxes With Matter, Journal of Physics Conference Series, 1556, IOP Publishing Ltd, 2020, 012003  crossref  isi  scopus
    21. M. A. Paramonov, D. V. Minakov, P. R. Levashov, “Interpretation of experiments on shock compression and isentropic expansion of uranium by quantum molecular dynamics simulations”, Xxxiv International Conference on Interaction of Intense Energy Fluxes With Matter, Journal of Physics Conference Series, 1556, IOP Publishing Ltd, 2020, 012043  crossref  isi  scopus
    22. Yu. V. Petrov, V. A. Khokhlov, V. V. Zhakhovsky, N. A. Inogamov, “Laser ablation in liquid”, Xxxiv International Conference on Interaction of Intense Energy Fluxes With Matter, Journal of Physics Conference Series, 1556, IOP Publishing Ltd, 2020, 012002  crossref  isi  scopus
    23. V K. Khishchenko, “Equation of state for niobium at high pressures”, Math. Montisnigri, 47 (2020), 119–123  crossref  isi
    24. V S. Rykov , V. A. Rykov, V I. Kudryavtseva , E. E. Ustyuzhanin, V A. Sverdlov, “Fundamental equation of state of argon, satisfying the scaling hypothesis and working in the region of high temperatures and pressures”, Math. Montisnigri, 47 (2020), 124–136  crossref  isi
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