Analysis of the presence of small admixtures of heavy elements in the solar plasma by using the SAHA-S equation of state

  • S. V. Ayukov
  • A. Baturin
  • V. K. Gryaznov
  • I. L. Iosilevskii
  • A. N. Starostin
  • V. E. Fortov
Gravity, Astrophysics


The thermodynamic functions of a weakly nonideal plasma are extensively calculated for conditions typical of the depths of stars by using the SAHA-S equation of state. These calculations ensure precise analysis of the effect of the heavy-element content on adiabatic compressibility in the depths of the Sun. Comparison of model calculations with recent helioseismic data ensures more precise determination of solar-plasma composition. This comparison shows that the inclusion of additional components to the composition of heavy-element admixtures is a necessary condition for the theoretical equation of state and the results of analysis of solar oscillations to be consistent.

PACS numbers

95.30.Qd 96.60.Fs 


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  1. 1.
    S. V. Vorontsov, in Proceedings of 2002 SOHO 12/GONG + 2002, Local and Global Helioseismology: The Present and Future, Ed. by H. Lacoste (Noordwijk, The Netherlands, 2002), ESA SP-517 SOHO/GONG; in Proceedings of Workshop on Equation-of-State and Phase-Transition Issues in Models of Ordinary Astrophysical Matter (Leiden, The Netherlands, 2004).Google Scholar
  2. 2.
    J. Christensen-Dalsgaard, W. Dappen, S. V. Ajukov, et al., Science 272, 1286 (1986).ADSGoogle Scholar
  3. 3.
    A. A. Likal’ter, Zh. Éksp. Teor. Fiz. 56, 240 (1969) [Sov. Phys. JETP 29, 133 (1969)].Google Scholar
  4. 4.
    F. Rogers, F. Swenson, and G. Iglesias, Astrophys. J. 456, 902 (1996); F. J. Rogers and A. Nayfonov, Astrophys. J. 576, 1064 (2002).CrossRefADSGoogle Scholar
  5. 5.
    A. A. Vedenov and A. I. Larkin, Zh. Éksp. Teor. Fiz. 36, 1133 (1959) [Sov. Phys. JETP 9, 806 (1959)].MathSciNetGoogle Scholar
  6. 6.
    A. I. Larkin, Zh. Éksp. Teor. Fiz. 38, 1896 (1960) [Sov. Phys. JETP 11, 1363 (1960)].MathSciNetGoogle Scholar
  7. 7.
    W. Ebeling, W.-D. Kraeft, and D. Kremp, Theory of Bound States and Ionisation Equilibrium in Plasmas and Solids (Akademie, Berlin, 1976; Mir, Moscow, 1979).Google Scholar
  8. 8.
    W.-D. Kraeft, D. Kremp, W. Ebeling, and G. Röpke, Quantum Statistics of Charged Particle Systems (Plenum, New York, 1986; Mir, Moscow, 1988).Google Scholar
  9. 9.
    V. P. Kopyshev, Zh. Éksp. Teor. Fiz. 55, 1304 (1968) [Sov. Phys. JETP 28, 684 (1969)].Google Scholar
  10. 10.
    G. É. Norman and A. N. Starostin, Teplofiz. Vys. Temp. 8, 413 (1970).Google Scholar
  11. 11.
    A. N. Starostin, V. C. Roerich, and R. N. More, Contrib. Plasma Phys. 43, 369 (2003).CrossRefGoogle Scholar
  12. 12.
    V. K. Gryaznov, I. L. Iosilevskii, and V. E. Fortov, in Shock Waves and Extremal States of Substance, Ed. by V. E. Fortov, L. V. Al’tshuler, R. F. Trunin, and A. I. Funtikov (Nauka, Moscow, 2000), p. 299 [in Russian].Google Scholar
  13. 13.
    W. Dappen, D. Hummer, and D. Mihalas, Astrophys. J. 331, 794 (1988); 331, 815 (1988); 332, 261 (1988).ADSGoogle Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2004

Authors and Affiliations

  • S. V. Ayukov
    • 1
  • A. Baturin
    • 1
  • V. K. Gryaznov
    • 2
  • I. L. Iosilevskii
    • 3
  • A. N. Starostin
    • 4
  • V. E. Fortov
    • 2
  1. 1.Sternberg Astronomical InstituteUniversitetskii pr. 13MoscowRussia
  2. 2.Institute of Problems of Chemical PhysicsRussian Academy of SciencesChernogolovka, Moscow regionRussia
  3. 3.Moscow Institute of Physics and Technology (State University)Institutskii per. 9Dolgoprudnyi, Moscow regionRussia
  4. 4.Troitsk Institute for Innovation and Thermonuclear ResearchTroitsk, Moscow regionRussia

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