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Quantum, many-body, finite-temperature perturbation theory for an electron–ion system

Phys. Plasmas 7, 68 (2000); doi:10.1063/1.873819

Issue Date: January 2000

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George A. Baker, Jr. and J. D. Johnson
Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
The expansion in powers of the electron charge, e, for a neutral system of electrons (fermions) and ions (Maxwell–Boltzmann particles) is extended to order e4 for arbitrary values of temperature and density. The methods of calculation of the series terms will be illustrated, and some of the consequences of these results will be discussed. The ionization profile so derived, at least at high temperatures, will be contrasted with Saha theory. Some special features of hydrogen related to the possible plasma phase transition will be noted. ©2000 American Institute of Physics.
History: Received 14 May 1999; accepted 21 September 1999
Permalink: http://link.aip.org/link/?PHPAEN/7/68/1
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KEYWORDS and PACS

Keywords
PACS
  • 05.30.-d
    Statistical physics, thermodynamics, and nonlinear dynamical systems Quantum statistical mechanics
  • 51.30.+i
    Physics of gases Thermodynamic properties, equations of state
  • 05.70.-a
    Statistical physics, thermodynamics, and nonlinear dynamical systems Thermodynamics
  • 64.70.Fx
    Equations of state, phase equilibria, and phase transitions Specific phase transitions Liquid–vapor transitions
  • YEAR: 2000

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ISSN:
1070-664X (print)   1089-7674 (online)
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REFERENCES (10)

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  2. See, for example, E. M. Montroll, and J. C. Ward, Phys. Fluids 1, 55 (1958);
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  4. A. A. Bedenov, Sov. Phys. JETP 9, 446 (1959).
  5. Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, London, 1974), Vol. 3.
  6. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5, Statistical Physics as translated by E. Peierls and R. F. Peierls (Addison-Wesley, Reading, MA, 1958).
  7. M. Gell-Mann and K. Brueckner, Phys. Rev. 106, 369 (1957).
  8. G. A. Baker, Jr. and P. R. Graves-Morris, Encyclopedia of Mathematics and its Applications, 2nd ed. edited by G.-C. Rota, Vol. 59, Padé Approximants (Cambridge University Press, New York, 1996).
  9. G. A. Baker, Jr., Phys. Rev. E 56, 5216 (1997).
  10. R. Redmer, Z. Phys. Chem. 204, 135 (1998).
  11. N. H. Saha, Philos. Mag. 40, 472 (1920);
  12. D. Mihalas, Stellar Atmospheres (W. Freeman, San Francisco, 1970).

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