The Statistical Theory of Non-Equilibrium Processes in a Plasma

The Statistical Theory of Non-equilibrium Processes in a Plasma covers the modern statistical theory of non-equilibrium processes in a plasma by a unified method, proceeding from the microscopic equations. The book discusses Maxwell equations for slow and fast processes; magnetohydrodynamic equations; microscopic equations for a plasma; and equations with a self-consistent field (Vlasov equations). The text then describes correlation and spectral function; kinetic equations for a plasma; and Landau equations. It also examines the kinetic equations and expressions for spectral functions when the radiation by plasma waves is taken into account; and the hydrodynamic description of processes in a plasma. Physicists and students taking courses in mechanics and mathematics will find the book invaluable.

Contenu

Foreword
Introduction
Chapter I. Maxwell Equations for Slow and Fast Processes

1. Maxwell Equations for Slow Processes
2. Maxwell Equations for Fast Processes
3. Magnetohydrodynamic Equations
   Chapter II. Microscopic Equations for a Plasma. Averaging the Microscopic Equations
4. Microscopic Equations for a Plasma
5. Averaging the Microscopic Equations for a Plasma
   Chapter III. Equations with a Self-consistent Field - Vlasov Equations
6. Kinetic Equations for a Plasma in the Self-Consistent Field Approximation
7. Solution for Self-Consistent Equations for the Functions fa, E, B in the Linear Approximation when there are No External Fields
8. Propagation of Electromagnetic Waves in a Plasma when there are No External Fields
9. Propagation of Electromagnetic Waves in a Plasma Located in a Constant Magnetic Field
   Chapter IV. Correlation Functions and Spectral Functions. Kinetic Equations for a Plasma. Landau Equations
10. Simultaneous Correlation Functions for a Non-Relativistic Plasma
11. Set of Kinetic Equations for the Functions fa Neglecting Plasma Wave Radiation. Landau Equations
12. Conservation Laws Taking Higher Moments into Account
13. Kinetic Equations for a Relativistic Plasma
14. Stationary Space-Time Correlations in a Plasma
15. Correlation Functions and Collision Integral in the Presence of an External Magnetic Field
    Chapter V. The Kinetic Equations and Expressions for Spectral Functions when the Radiation by Plasma Waves Is Taken into Account
16. Non-Stationarity. Spectral Functions for the Radiation Region
17. Allowing for Radiation in the Kinetic Equations. Set of Equations for the First Distribution Functions and for the Spectral Field Function
18. "Quasilinear Approximation" for a Set of Equations with a Self-Consistent Field. Allowing for Higher Moments
19. Quasilinear Approximation Taking "Collisions" into Account
20. Approximation of "Free" and "Bound" Charges for a Plasma. Self-Consistent Equations for Second Distribution Functions
    Chapter VI. Hydrodynamic Description of Processes in a Plasma
21. Hydrodynamic Equations for a Heavily Ionized Plasma Neglecting Wave Radiation
22. Taking Plasma Wave Radiation into Account in the Hydrodynamic Equations
23. Magnetohydrodynamic Equations for a Non-Isothermic Plasma without "Collisions"
24. Hydrodynamic Description of Charged Particle Motion in a Weakly Ionized Plasma
    References
    Index