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Equations of state for ions in non-LTE plasmas

Published online by Cambridge University Press:  09 March 2009

S. Eliezer  and
E. Mínguez
S. Eliezer
Affiliation:
Institute of Nuclear Fusion, E.T.S. Ingenieros Industrials, c/José Gutiérrez Abascal 2, 28006 Madrid, Spain
E. Mínguez
Affiliation:
Institute of Nuclear Fusion, E.T.S. Ingenieros Industrials, c/José Gutiérrez Abascal 2, 28006 Madrid, Spain
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Abstract

For nonlocal thermodynamic equilibrium (LTE), the equations of state are not well defined and therefore the hydrodynamic equations are not applicable. In this case, the general transport equations (e.g., Boltzmann or Fokker–Planck) should be used. However, the coupling between atomic physics (rate equations) and the transport equations is extremely complicated. This article shows how the information given by the rate equations is translated into an effective potential. This “potential” theory is explicitly shown for two cases: lithium-like iron plasmas and aluminum plasmas. Moreover, it is suggested that the “collision terms,” and all other interactions that are not taken into account by the explicit rate equations, are described by a stochastic force given by a Langevin equation or equivalently by a Fokker-Planck equation in the ion density space.

Type
Research Article
Information
Laser and Particle Beams , Volume 10 , Issue 3 , September 1992 , pp. 495 - 504
Copyright
Copyright © Cambridge University Press 1992

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References

REFERENCES

Bushman, A.V. & Fortov, V.E. 1983 Sov. Phys. Usp. 26, 465.CrossRefGoogle Scholar
Eliezer, S. et al. 1986 An Introduction to Equations of State: Theory and Applications (Cambridge University Press, Cambridge, UK).Google Scholar
Eliezer, S. & Ricci, R.A., eds. 1991 High Pressure Equations of State: Theory and Applications (North Holland, Amsterdam).Google Scholar
Gámez, M.L. & Mínguez, E. 1991 In Radiative Properties of Hot Dense Matter, Goldstein, W.Hooper, C.Gauther, J.Seely, J., and Lee, R. eds. (World Scientific, Singapore), p. 279.Google Scholar
Haken, H. 1975 Rev. Modern Phys. 47, 67.CrossRefGoogle Scholar
Kubo, R. et al. 1973 J. Stat. Phys. 9, 51.CrossRefGoogle Scholar
Landshoff, R.K. & Perez, J.D. 1976 Phys. Rev. A 13, 1619.CrossRefGoogle Scholar
Lee, Y.T. et al. 1990 J. QSRT 43, 335.Google Scholar
Lotz, W. 1968 Z. Phys. 261, 241.CrossRefGoogle Scholar
Mihalas, D. 1978 Stellar Atmosphere (University of Chicago Press, Chicago, IL).Google Scholar
Mínguez, E. & Gámez, M.L. 1989 In Plasma Physics and Controlled Nuclear Fusion Research (International Atomic Energy Agency, Vienna), p. 541.Google Scholar
More, R.M. et al. 1988 Phys. Fluids 31, 3059.CrossRefGoogle Scholar
Pacoult, A. & C, Vidal eds. 1979 Synergetics: Far From Equilibrium– Instabilities and Fluctuations (Springer-Verlag, Berlin).CrossRefGoogle Scholar
Seaton, M.J. 1959 Mont. Not. Roy. Astr. Soc. 119, 81.CrossRefGoogle Scholar
Seaton, M.J. 1962 In Atomic and Molecular Processes, Bates, D.R., ed. (Academic Press, New York), p. 375.Google Scholar
Van Kampen, N.G. 1976 Adv. Chem. Phys. 34, 245.Google Scholar