Transport Processes in Plasmas With Strong Coulomb Interactions

by Pavlov; G.A.

• ISBN13: 9789056992101
• ISBN10: 9056992104
• Format: Hardcover
• Copyright: 2000-07-06
• Publisher: CRC Press

Summary

The first part of this monograph presents theoretical analysis of the thermophysical properties of strongly coupled coulomb systems. A new model is then developed, making it possible to calculate the full set of low temperature, multicomponent, nonideal plasma transport coefficients, based on the kinetic coefficients of strongly coupled coulomb systems and experimental data for the transport coefficients of Dense, Low temperature plasmas. This model can easily be implemented in the form of a set of computer algorithms, and the third part of the book shows how it can be used to solve important problems of high temperature gas dynamics, for example, heat and mass transfer in the shock layer of a space probe, stability of temperature and concentration fields in gas phase nuclear reactors, and critical phenomena in low temperature plasma dynamics.

Table of Contents

Introduction	1	(4)
Section I. Transport and optical characteristics theory of Coulomb systems	5	(58)
The theory of linear response of a Coulomb system to mechanical and thermal disturbances	7	(18)
Theory of linear response of a two-component Coulomb system to a longitudinal electric field	8	(6)
Theory of linear response of a Coulomb system to an electromagnetic field. Kubo coefficient	14	(3)
Kinetic transport coefficients of multielement charged condensed media. Generalized Langevin equation	17	(8)
Kinetic coefficients of Coulomb systems. Sum rules for response function of Coulomb systems	25	(20)
Kinetic coefficients of multielement charged condensed medium. Indirect theory of linear response and non-equilibrium statistical operator method	26	(5)
The comparison of local longitudinal electrical conductivity and Kubo coefficient of a Coulomb system	31	(10)
Sum rules for response functions and time correlation functions for systems with strong interparticle interactions	41	(4)
Optical properties of Coulomb systems	45	(18)
The characteristics of the linear interaction of a laser beam with a Coulomb system	46	(1)
Frequency moments of See (k, ω), Spp (k ω) and connected response functions of Coulomb systems	46	(6)
The frequency moments of the true longitudinal electrical conductivity of a Coulomb system	52	(1)
The frequency moments of transverse dielectric constant and electrical conductivity	53	(2)
Kubo coefficient frequency moments. Correlation of frequency moments for different definitions of the electrical conductivity of a Coulomb system	55	(3)
Optical characteristics of Coulomb systems. Comparison with experiment	58	(5)
Section II. Transport coefficients of a multielement chemically reacting plasma with developed ionization and strong interparticle (Coulomb) interaction (model)	63	(54)
Electron kinetic coefficients of a plasma with strong Coulomb coupling	65	(20)
The model formulation for the determination of nonideal plasma electron kinetic coefficients	66	(1)
On the contribution of electron elastic scattering by excited atoms to the electrical conductivity of partly ionized plasma of alkaline metals	67	(11)
The contribution of ion core and other non-Coulomb factors to the electrical conductivity of a plasma with strong Coulomb interactions	78	(3)
The ion core contribution to braking absorption of electrons in a dense low-temperature plasma	81	(4)
Transport coefficients determining momentum, mass and energy currents in a multielement chemically reacting plasma	85	(14)
The formulation of a model for calculating η ζ Dik DTi λ for a chemically reacting plasma with strong Coulomb interaction	86	(2)
Effective transport coefficients of a multielement chemically reacting plasma	88	(8)
The effective transport coefficients in a plasma with strong Coulomb (particles) interaction	96	(3)
The general restriction on kinetic coefficients and effective transport coefficients of a multielement chemically reacting plasma	99	(18)
Expression for the entropy production in component form. Conditions on the transport coefficients	100	(5)
Onsager reciprocity relations for phenomenological kinetic coefficients	105	(4)
Expression for entropy production in element form. Some conditions for the effective transport coefficients	109	(4)
On the properties of the matrix of coefficients at high derivatives in a system with diffusion and energy equations for multielement media with strong interparticle interaction	113	(4)
Section III. Transport coefficients of a multielement low-temperature plasma in high-temperature gas-dynamics problems	117	(40)
Hypersonic flow around a spherical probe in the upper layers of Jupiter	119	(22)
The system of equations for the investigation of flow in the vicinity of a spherical probe stagnation point in high-temperature gas dynamics. Boundary conditions	120	(7)
The determination of a radiation field in a shock layer	127	(3)
Thermophysical properties of shock compressed He+H+C plasma	130	(3)
The characteristics of heat and mass transfer in the vicinity of a stagnation point at a spherical probe shock layer	133	(8)
Critical phenomena in the motion of a low-temperature plasma	141	(16)
Dissipative structures in a plasma with volume heat generation	142	(5)
Dissipative structures in a plasma with volume heat generation (c0 F L=0)	147	(3)
On regimes of plasma flat flow under the action of constant pressure gradient in the event of exponential dependence of η λ on temperature	150	(3)
On plasma plane flow modes under the action of a constant pressure gradient in the case of power dependence of viscosity and thermal conductivity on temperature	153	(4)
Appendix I. Linear response theory	157	(6)
Appendix II. Generalized Langevin equation	163	(6)
Appendix III. Long-wave asymptotics of charge-charge time correlation function	169	(8)
Appendix IV. Modified Glauber approximation	177	(8)
References	185	(12)
Subject index	197