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Plasma Bound States in Grand Canonical and Mixed Representations

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Quantum Statistics of Dense Gases and Nonideal Plasmas

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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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Authors and Affiliations

  1. Institut für Physik, Humboldt Universität Berlin, Berlin, Germany

    Werner Ebeling

  2. Russian Academy of Sciences, Moscow, Russia

    Vladimir E. Fortov

  3. Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, Russia

    Vladimir Filinov

Authors
  1. Werner Ebeling
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  2. Vladimir E. Fortov
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  3. Vladimir Filinov
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Correspondence to Werner Ebeling .

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Ebeling, W., Fortov, V.E., Filinov, V. (2017). Plasma Bound States in Grand Canonical and Mixed Representations . In: Quantum Statistics of Dense Gases and Nonideal Plasmas. Springer Series in Plasma Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-66637-2_5

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