Abstract
The equation of state for a hydrogen plasma at high temperatures is considered in a physical and a chemical model. A simple expression is obtained that relates the pressure correction in chemical models to the high-temperature limit of the atom partition function. This expression ensures a correct asymptotic behavior of the equation of state in the high-temperature limit. It is explained why the familiar astrophysical model of Hummer, Mihalas, and Däppen, as applied to helioseismology, yields worse results than a physical model. A modification of the astrophysical model is proposed that makes it possible to use the nearest neighbor approximation to calculate the atom partition function in chemical models in solving astrophysical problems and problems concerning low-temperature plasmas.
Similar content being viewed by others
References
Equation-of-State and Phase-Transition Issues in Models of Ordinary Astrophysical Matter, Ed. by V. Celebonovich, W. Däppen, and D. Gough (AIP, Melville, NY, 2004), AIP Conf. Proc. 731 (2004).
A. N. Starostin and V. C. Roerich, Zh. Éksp. Teor. Fiz. 127, 186 (2005) [JETP 100, 165 (2005)].
A. A. Vedenov and A. I. Larkin, Zh. Éksp. Teor. Fiz. 36, 1133 (1959) [Sov. Phys. JETP 9, 806 (1959)].
W.-D. Kraeft, D. Kremp, W. Ebeling, and G. Röpke, Quantum Statistics of Charged Particle Systems (Plenum, New York, 1986; Mir, Moscow, 1988).
Yu. G. Krasnikov, Zh. Éksp. Teor. Fiz. 73, 516 (1977) [Sov. Phys. JETP 46, 270 (1977)].
G. Ecker, Theory of Fully Ionized Plasma (McGraw-Hill, New York, 1972; Mir, Moscow, 1974).
D. G. Hummer and D. Mihalas, Astrophys. J. 331, 794 (1988).
D. Mihalas, W. Däppen, and D. G. Hummer, Astrophys. J. 331, 815 (1988).
A. Nayfonov and W. Däppen, Astrophys. J. 499, 489 (1998).
A. Y. Potekhin, Phys. Plasmas 3, 4156 (1996).
A. L. Khomkin, I. A. Mulenko, and A. S. Shumikhin, Teplofiz. Vys. Temp. 42, 835 (2004).
N. N. Kalitkin, Mat. Model. 4(12), 171 (1992).
M. J. Seaton, Yu Yan, D. Mihalas, and A. K. Pradhan, Mon. Not. R. Astron. Soc. 266, 805 (1994).
L. P. Kudrin, Statistical Plasma Physics (Atomizdat, Moscow, 1974) [in Russian].
L. D. Landau and E. M. Lifshitz, Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).
V. E. Fortov, B. N. Lomakin, and Yu. G. Krasnikov, Teplofiz. Vys. Temp. 9, 869 (1971).
A. L. Khomkin, V. S. Vorob’ev, I. A. Mulenko, and E. N. Oleĭnikova, Fiz. Plazmy 27, 369 (2001) [Plasma Phys. Rep. 27, 347 (2001)].
A. L. Khomkin and I. A. Mulenko, Teplofiz. Vys. Temp. 41, 327 (2003).
W. Däppen, D. Mihalas, and D. G. Hummer, Astrophys. J. 332, 261 (1988).
V. K. Gryaznov, I. L. Iosilevskiĭ, Yu. G. Krasnikov, et al., in Thermophysical Properties of the Working Media of Gas-Phase Nuclear Reactors, Ed. by V. M. Ievlev (Atomizdat, Moscow, 1980) [in Russian].
V. K. Gryaznov, in Encyclopedia of Low-Temperature Plasma, Ed. by V. E. Fortov (Nauka, Moscow, 2000), Vol. 1 [in Russian].
A. A. Likal’ter, Zh. Éksp. Teor. Fiz. 56, 240 (1969) [Sov. Phys. JETP 29, 133 (1969)].
L. G. D’yachkov, A. L. Khomkin, and A. S. Shumikhin, in Proceedings of the V International Conference on Plasma Physics and Plasma Technology, Minsk, 2006, Vol. 1, p. 177.
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.L. Khomkin, A.S. Shumikhin, 2008, published in Fizika Plazmy, 2008, Vol. 34, No. 3, pp. 281–286.
Rights and permissions
About this article
Cite this article
Khomkin, A.L., Shumikhin, A.S. Features of the chemical models of a nonideal atomic plasma at high temperatures. Plasma Phys. Rep. 34, 251–256 (2008). https://doi.org/10.1134/S1063780X08030136
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X08030136