Kinetic Theory of Nonideal Gases and Nonideal Plasmas

Kinetic Theory of Nonideal Gases and Nonideal Plasmas

International Series in Natural Philosophy

1st Edition - January 1, 1982

Write a review

  • Author: Yu L Klimontovich
  • eBook ISBN: 9781483145440

Purchase options

Purchase options
DRM-free (PDF)
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order

Description

Kinetic Theory of Nonideal Gases and Nonideal Plasmas presents the fundamental aspects of the kinetic theory of gases and plasmas. The book consists of three parts, which attempts to present some of the ideas, methods and applications in the study of the kinetic processes in nonideal gases and plasmas. The first part focuses on the classical kinetic theory of nonideal gases. The second part discusses the classical kinetic theory of fully ionized plasmas. The last part is devoted to the quantum kinetic theory of nonideal gases and plasmas. A concluding chapter is included, which presents a short account of the kinetic theory of chemically reacting systems and of partially ionized plasmas, in order to espouse further studies in the field. Physicists, scientific researchers, professors, and graduate students in various fields will find the text of good use.

Table of Contents


  • Preface

    Part I Kinetic Theory of Non-ideal Gases

    Introduction

    Chapter 1 The Method of Distribution Functions and the Method of Moments

    Section 1 Equations for the Position and Momentum Distribution Functions in a Gas of Monatomic Particles

    Section 2 The Approximation of Binary Collisions

    Section 3 The Weak Coupling Approximation. The Polarization Approximation

    Section 4 The Equation for the Phase Space Density in the Six-dimensional Position and Momentum Space

    Section 5 The Method of Moments

    Section 6 The Approximations of the First and Second Moments. The polarization approximation

    Section 7 Transport Equations for the Mass Density, Momentum Density and Kinetic Energy Density

    Chapter 2 The Boltzmann Kinetic Equation for Non-ideal Gases

    Section 8 Some Results of the Equilibrium Statistical Theory of Non-ideal Gases

    Section 9 Nonlinear Integral Equations for the Two-particle Correlation Function

    Section 10 The Boltzmann Kinetic Equation for the Spatially Homogeneous Ideal Gas

    Section 11 Properties of the Boltzmann Collision Integral for the Ideal Gas

    Section 12 The Boltzmann Kinetic Equation for a Spatially Homogeneous Non-ideal Gas

    Section 13 The Collision Integral in the Weak Coupling Approximation. The Landau Kinetic Equation

    Section 14 Boltzmann's H-theory for the Non-ideal Gas

    Section 15 The Boltzmann Equation for a Spatially Inhomogeneous Non-ideal Gas

    Chapter 3 Kinetic Equations for Dense Gases

    Section 16 Problems of the Kinetic Theory of Dense Gases

    Section 17 Kinetic Equations for Non-ideal Gases Taking into Account Triple Collisions

    Section 18 Kinetic Equations for the Smoothed Density of a Gas

    Section 19 On the Statistical Description of Non-equilibrium Processes in Dense Gases

    Section 20 Generalized Kinetic Equation

    Chapter 4 Kinetic Theory of Fluctuations in Gases

    Section 21 Equation for the Smoothed Distribution Functions in the Polarization Approximation

    Section 22 Equation for the Smoothed Phase Density. The Method of Moments

    Section 23 Random Sources in the Boltzmann Kinetic Equation and in the Hydrodynamical Equations

    Part II Kinetic Theory of Non-ideal Fully Ionized Plasmas

    Introduction

    Chapter 5 The Microscopic Equations for a Fully Ionized Plasma and their Average

    Section 24 Microscopic Equations for a Fully Ionized Plasma

    Section 25 Microscopic Equations for a Coulomb Plasma

    Section 26 Averaging of the Microscopic Equations

    Section 27 Approximation of Binary Collisions and Polarization Approximation for Plasmas

    Section 28 Transport Equations for the Density, the Momentum Density and the Energy Density of the Particles. Transport Equations for the Energy Density and the Momentum Density of the Electromagnetic Field

    Chapter 6 Kinetic Equations for the Plasma in the First Moment Approximation. The Vlasov Equation

    Section 29 Kinetic Description of the Processes in a Collision-less Plasma

    Section 30 The Linear Approximation

    Section 31 Electrical Conductivity and Dielectric Constant of a Collision-less Plasma

    Section 32 Wave Properties of a Collision-less Plasma

    Chapter 7 Kinetic Equations for the Ideal Fully Ionized Plasma

    Section 33 Limitations Necessary for the Derivation of Kinetic Equations

    Section 34 Spectral Densities of the Source Fluctuations in the Ideal Plasma

    Section 35 Spectral Densities of Fluctuations in the Ideal Plasma

    Section 36 Spectral Densities of the Fluctuations in the Equilibrium Plasma

    Section 37 The Balescu-Lenard Kinetic Equation

    Section 38 The Landau Kinetic Equation

    Section 39 Spectral Densities of Fluctuations in a Relativistic Plasma

    Section 40 Kinetic Equation for a Relativistic Plasma

    Chapter 8 Effect of an External Field on the Kinetic Properties of Plasmas

    Section 41 Equations for the Functions fa, δNa in the Presence of an External Field

    Section 42 Spectral Density of the Source Fluctuations in the Presence of a High-frequency Electric Field

    Section 43 Spectral Density of the Electric Field Fluctuations

    Section 44 Kinetic Equation of a Plasma in a High-frequency Electric Field

    Section 45 Conductivity of a Plasma in a High-frequency Electric Field

    Section 46 Low Frequencies

    Section 47 The Effective Potential Originating from the Average Dynamical Polarization

    Section 48 Electrical Conductivity and Effective Potential

    Section 49 Fluctuations in the Presence of a Magnetic Field

    Section 50 Kinetic Equation for a Plasma in the Presence of an External Magnetic Field

    Chapter 9 The Spatially Homogeneous Non-ideal Plasma

    Section 51 Spectral Densities of Non-stationary Processes

    Section 52 Spectral Densities of the Source Fluctuations in a Non-ideal Plasma

    Section 53 The Landau Kinetic Equation for a Non-ideal Plasma

    Section 54 The Balescu-Lenard Equation for a Non-ideal Plasma

    Section 55 The Collision Integral of the Non-ideal Plasma, Taking into Account the Averaged Dynamical Polarization

    Section 56 Boltzmann Kinetic Equation for a Non-ideal Plasma

    Section 57 Interaction of Charged Particles with Plasmons

    Chapter 10 The Spatially Inhomogeneous Non-ideal Plasma

    Section 58 Relation Between Collision Integral and Spectral Density of Fluctuations

    Section 59 The Collision Integral

    Section 60 Properties of the Collision Integral

    Chapter 11 Kinetic Theory of Fluctuations in a Plasma

    Section 61 Equations for the Smoothed Phase-space Density and Field

    Section 62 The Method of Moments. The Polarization Approximation

    Section 63 The Spectral Densities of the Long-range Fluctuations

    Section 64 Kinetic Equations for Plasmas with Account of the Long-range Fluctuations

    Section 65 Hydrodynamical Equations with Account of the Long-range Fluctuations

    Part III Quantum Kinetic Equations for Non-ideal Gases and Non-ideal Plasmas

    Introduction

    Chapter 12 Quantum Kinetic Equations for Non-ideal Gases

    Section 66 Hierarchy of Equations for the Quantum Distribution Functions. The Binary Collision Approximation

    Section 67 Macroscopic Equations and Thermodynamic Functions for Non-ideal Gases

    Section 68 Two Forms of the Quantum Collision Integral

    Section 69 The Weak Coupling Approximation

    Section 70 Quantum Boltzmann Collision Integral for Non-ideal Gases, with Account of the Exchange Effects

    Chapter 13 Quantum Kinetic Equations for Plasmas

    Section 71 The Phase-space Density Operator

    Section 72 The Equations for the Moments

    Section 73 The Polarization Approximation

    Section 74 The Quantum Collision Integral in the Polarization Approximation

    Section 75 The Effective Potential. The Pseudopotential

    Section 76 The Quantum Boltzmann Equation for a Non-ideal Plasma

    Section 77 Thermodynamic Functions of the Non-ideal Plasma

    Section 78 Exchange Effects

    Chapter 14 Kinetic Equations for Partially Ionized Plasmas and for Chemically Reacting Gases

    Section 79 Partially Ionized Plasmas. Initial Model

    Section 80 Kinetic Equations for the Distribution Functions of Electrons, Ions and Atoms

    Section 81 Chemically Reacting Gases. Initial Model

    Section 82 Kinetic Equations for Chemically Reacting Gases

    Section 83 Equations for the Concentrations of Free and Bound Charged Particles. Ionization and Recombination Coefficients

    Section 84 Effect of the Electromagnetic Field Fluctuations on the Kinetic Processes in a Partially Ionized Plasma

    Section 85 Kinetic Theory of Fluctuations in Chemically Reacting Gases and in Partially Ionized Plasmas

    References

    Index

    Other Titles in the Series

Product details

  • No. of pages: 328
  • Language: English
  • Copyright: © Pergamon 1982
  • Published: January 1, 1982
  • Imprint: Pergamon
  • eBook ISBN: 9781483145440

About the Author

Yu L Klimontovich

About the Editor

D. ter Haar

Ratings and Reviews

Write a review

There are currently no reviews for "Kinetic Theory of Nonideal Gases and Nonideal Plasmas"