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Coulomb Correlations and EOS of Nondegenerate Nonideal Plasmas

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Quantum Statistics of Dense Gases and Nonideal Plasmas

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Abstract

As pointed out in Chaps. 1 and 3, the correlations in classical Coulomb systems such as electrolytes and quasi-classical plasmas were first studied by Milner, Debye, Hückel, Wigner, and others. Strictly speaking, there is no classical statistical theory of point charges, due to several divergencies which show when Debye’s limiting laws are not applicable. The quantum-statistical theory of correlations in Coulomb systems is due to the work of Macke, Gell-Man, Brueckner, Bohm, Pines, Nozieres, Montroll, Ward, Klimontovich, Silin, Vedenov, Larkin, DeWitt, Kelbg, and others (Vedenov 1959; Vedenov and Larkin 1959; DeWitt 1962; Kelbg 1963, 1964; Ebeling et al. 1968; Ebeling et al. 1976, Klimontovich 1984, 1986). The most important results were obtained in different research centers, one of them founded in the 1960s by Kelbg in Rostock (Kelbg 1963, 1964; Ebeling et al. 1968; Ebeling et al. 1976; Kraeft et al. 1986). Field-theoretical approaches were developed to solve the problem of quantum screening by Montroll and Ward (1958) and by Vedenov and Larkin (1959). The Montroll–Ward method was further developed by DeWitt et al. (for the main results see DeWitt 1962; DeWitt et al. 1995; Riemann et al. 1995). An approach based on Feynman–Kac methods was developed by Alastuey and Perez et al. (see, e.g., Alastuey et al. 1992, 1996, 2008, 2015). For exact results see Lieb and Seiringer (2010), here we mainly follow the approach of the Kelbg school, but compare in detail with the results of other approaches.

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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

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  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). Coulomb Correlations and EOS of Nondegenerate Nonideal Plasmas. 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_4

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