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Quantum Statistics of Dense Gases and Nonideal Plasmas pp 337–366Cite as

Kinetic Equations and Fluctuations in Nonideal Gases and Plasmas

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Part of the book series: Springer Series in Plasma Science and Technology ((SSPST))

Abstract

This brief survey of kinetic and transport theory starts with the stochastic approach, which is mathematically simpler than kinetic equations of Boltzmann and Lenard–Balescu type. We continue with Lorentz approximations and then discuss the derivation of quantum Boltzmann equations using the Bogoliubov method. The next topic is fluctuation–dissipation theorems, including a discussion of recent controversies in this field, and several applications to plasmas. For more detailed introductions to stochastic and transport problems, the reader is referred to other books (Balescu, Equilibrium and Nonequilibrium Statistical Mechanics, 1975; Klimontovich, 1982, Kinetic theory of nonideal gases and nonideal plasmas, 1986; Ebeling et al., 1984, 2002, 2005; Dittrich et al., Quantum Transport and Dissipation, 1998; Bonitz, Progress in nonequilibrium Green’s Functions, 2000, Quantum Kinetic Theory, B.G. Teubner, Stuttgart 1998, 2016; Kremp et al., Quantum Statistics of Nonideal Plasmas, 2005).

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Author information

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). Kinetic Equations and Fluctuations in Nonideal Gases and 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_7

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