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Plasma Bound States in Grand Canonical and Mixed Representations

  • Werner EbelingEmail author
  • Vladimir E. Fortov
  • Vladimir Filinov
Chapter
Part of the Springer Series in Plasma Science and Technology book series (SSPST)

Abstract

Plasmas with deep bound states are not well described by density expansions. Here fugacity expansions are a very useful alternative to density expansions. The quantum-statistical theory is formulated in the grand canonical ensemble. This provides representations of the pressure and the densities in terms of the fugacities, which serve as implicit variables. This has already been demonstrated for real gases in Chap.  2, where we showed the equivalence with chemical descriptions. Fugacity expansions are, in principle, completely equivalent to density expansions. They are just a useful alternative, but with a quite different range of convergence, and different applications. For systems with deep bound states, fugacity expansions are more quickly convergent and very useful for EOS calculations. Furthermore, we develop mixed representations which combine the advantages of density and fugacity expansions.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Werner Ebeling
    • 1
    Email author
  • Vladimir E. Fortov
    • 2
  • Vladimir Filinov
    • 3
  1. 1.Institut für PhysikHumboldt Universität BerlinBerlinGermany
  2. 2.Russian Academy of SciencesMoscowRussia
  3. 3.Joint Institute for High TemperaturesRussian Academy of SciencesMoscowRussia

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