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Temperature diagnostics for Z-pinches plasma in dependence on compression degree

Published online by Cambridge University Press:  05 November 2019

N. Yu. Orlov Open the ORCID record for N. Yu. Orlov [Opens in a new window]
N. Yu. Orlov*
Affiliation:
Joint Institute for High Temperatures of the Russian Academy of Sciences, Izhorskaya 13 Bldg 2, Moscow125412, Russia
*
Author for correspondence: N. Yu. Orlov, Joint Institute for High Temperatures of the Russian Academy of Sciences, Izhorskaya 13 Bldg 2, Moscow125412, Russia, E-mail: [email protected]
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Abstract

Calculations of the spectral coefficients for X-ray absorption and spectral brightness's for X-ray radiation were performed for niobium Z-pinch plasma at the temperature of 1 keV and at different plasma densities to determine the compression degree where the spectral lines become indistinguishable. As known, traditional methods of temperature diagnostics of hot dense radiating plasmas are based on analysis of the spectral line shape in dependence on plasma temperature and density. In this case, the interval of photon radiation energies is used, where the spectral lines are well distinguishable in an experiment. On the other hand, Z-pinch plasma has high compression, and an increase of plasma density leads to the deformation of the spectral line shape because of Doppler broadening, Stark broadening, and so-called “additional” broadening of spectral lines that take place in a quantum statistical ensemble of plasma ions and atoms. The traditional method of temperature diagnostics becomes impossible and different methods, which do not use spectral line characteristics, should be applied. The aim of this paper is to determine the density border where the spectral lines become indistinguishable. Important features of the quantum mechanical model, which is known as ion model of plasma, and which is used for calculations in the presented paper, are considered and discussed. A brief review of the theoretical models that have been earlier developed to calculate the radiative opacity characteristics of hot dense plasma is presented as well.

Keywords

Dense plasmaself-consistent field theoryspectral brightnesstemperature diagnosticsZ-pinch
Type
Research Article
Information
Laser and Particle Beams , Volume 37 , Issue 4 , December 2019 , pp. 364 - 369
Copyright
Copyright © Cambridge University Press 2019

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References

Barishpoltsev, DV, Gus'kov, S Yu, Ivanov, EM, Kotegov, PS and Rozanov, VB (2006) Radiation yield from spherical homogeneous plasma. Analytical models for calculations of spectral brightness's for X-ray radiation of plasma objects with different configurations. Preprint 33. Moscow: Lebedev Physical Institute.Google Scholar
Batani, D, Dezulian, R, Redaelli, R, Benocci, R, Stabile, H, Canova, F, Desai, T, Lucchini, G, Krousky, E, Masek, K, Pfeifer, M, Skala, J, Dudzak, R, Rus, B, Ullschmied, J, Malka, V, Faure, J, Koenig, M, Limpouch, J, Nazarov, W, Pepler, D, Nagai, K, Norimatsu, T and Nishimura, H (2007) Recent experiments on the hydrodynamics of laser-produced plasmas conducted at the PALS laboratory. Laser and Particle Beams 25, 127–141.CrossRefGoogle Scholar
Denisov, OB and Orlov, N Yu (1993) Model of ensemble of relativistic ions. Mathematical Modeling 5, 3–15.Google Scholar
Denisov, OB, Orlov, N Yu, Gus'kov, S Yu, Rozanov, VB, Zmitrenko, NV and Mikhailov, AP (2005) Modeling of the composition of materials for soft X-ray sources used in research on inertial confinement fusion. Plasma Physics Reports 31, 684–689.CrossRefGoogle Scholar
Feynman, RP, Metropolis, N and Teller, E (1949) Equations of state of elements based on the generalized Fermi–Thomas theory. The Physical Review 75, 1561–1573.CrossRefGoogle Scholar
Fortov, VE (2009) Extreme states of matter on earth and in space. Physics-Uspekhi 52, 615–647.CrossRefGoogle Scholar
Hoffmann, DHH, Blazevic, A, Ni, P, Rosmej, O, Roth, M, Tahir, NA, Tauschwitz, A, Udrea, S, Varentsov, D, Weyrich, K and Maron, Y (2005) Present and future perspectives for high energy density physics with intense heavy ion and laser beams. Laser and Particle Beams 23, 47–53.CrossRefGoogle Scholar
Kadatskiy, MA and Khishchenko, KV (2016) Shock compressibility of iron calculated in the framework of quantum-statistical models with different ionic parts. Journal of Physics: Conference Series 744, 012005.Google Scholar
Kadatskiy, MA and Khishchenko, KV (2018) Theoretical investigation of the shock compressibility of copper in the average-atom approximation. Physics of Plasmas 25, 112701.CrossRefGoogle Scholar
March, NH, Young, WH and Sampanthar, S (1967) The Many-Body Problem in Quantum Mechanics. Cambridge: Cambridge Univ. Press.Google Scholar
Nikiforov, AF and Uvarov, VB (1973) Description of the state of matter in the high-temperature region based on the equations of the self-consistent field. Chislennye Metody Mekhaniki Sploshnoi Sredy 4, 114–117.Google Scholar
Orlov, N Yu (1987) Quantum-statistical calculation of the properties of a mixture of chemical elements allowing for fluctuations in the occupation numbers of electron states. USSR Computational Mathematics and Mathematical Physics 27, 64–70.CrossRefGoogle Scholar
Orlov, N Yu (1997) Ion model of a hot dense plasma. Laser and Particle Beams 15, 627–634.CrossRefGoogle Scholar
Orlov, N Yu and Fortov, VE (2000) On additional broadening of spectral lines in plasma. Doklady Physics 45(Springer), 1–4.CrossRefGoogle Scholar
Orlov, N Yu and Fortov, VE (2001) Comparative analysis of the theoretical models of a hot dense plasma and the density functional theory. Plasma Physics Reports 27, 44–55.CrossRefGoogle Scholar
Orlov, N Yu, Gus'kov, S Yu, Pikuz, SA, Rozanov, VB, Shelkovenko, TA, Zmitrenko, NV and Hammer, DA (2007) Theoretical and experimental studies of the radiative properties of hot dense matter for optimizing soft X-ray sources. Laser and Particle Beams 25, 415–423.CrossRefGoogle Scholar
Orlov, N Yu, Denisov, OB, Rosmej, ON, Schäfer, D, Nisius, Th, Wilhein, Th, Zhidkov, N, Kunin, A, Suslov, N, Pinegin, A, Vatulin, V and Zhao, Y (2011) Theoretical and experimental studies of material radiative properties and their applications to laser and heavy ion inertial fusion. Laser and Particle Beams 29, 69–80.CrossRefGoogle Scholar
Orlov, N Yu, Denisov, OB, Vergunova, GA and Rozmej, ON (2014) Mathematical modeling of the au-doping effect on the radiative properties of porous polymers in experiments with laser and heavy-ion beams. Journal of Russian Laser Research 35, 119–123.CrossRefGoogle Scholar
Orlov, N Yu, Denisov, OB and Vergunova, GA (2016) Temperature diagnostics of a Z-pinch plasma using calculations of the spectral brightness of X-ray radiation in a large interval of radiation energies. Journal of Russian Laser Research 37, 91–96.CrossRefGoogle Scholar
Rozsnyai, BF (1972) Relativistic Hartree–Fock–Slater calculations for arbitrary temperature and matter density. Physical Review A 5, 1137–1149.CrossRefGoogle Scholar
Rozsnyai, BF (1982) An overview of the problems connected with theoretical calculations for hot plasmas. Journal of Quantitative Spectroscopy & Radiative Transfer 27, 211–217.CrossRefGoogle Scholar
Tilikin, IN, Shelkovenko, TA, Pikuz, SA and Hammer, DA (2013) Determination of the size of a radiation source by the method of calculation of diffraction patterns. Optics and Spectroscopy 115, 128–136.CrossRefGoogle Scholar
Zel'dovich, Ya B and Raizer, Yu P (1967) Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena. New York: Academic Press.Google Scholar