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Developed from the lectures of a leading expert in plasma wave research, Plasma Kinetic Theory provides the essential material for an introductory course on plasma physics as well as the basis for a more advanced course on kinetic theory. Exploring various wave phenomena in plasmas, it offers wide-ranging coverage of the field. After introducing basic kinetic equations and the Lenard-Balescu equation, the book covers the important Vlasov-Maxwell equations. The solutions of these equations in linear and quasilinear approximations comprise the majority of kinetic theory. Another main topic in kinetic theory is to assess the effects of collisions or correlations in waves. The author discusses the effects of collisions in magnetized plasma and calculates the different transport coefficients, such as pressure tensor, viscosity, and thermal diffusion, that depend on collisions. With worked examples and problem sets that enable sound comprehension, this text presents a detailed, mathematical approach to applying plasma kinetic theory to diffusion processes in plasmas.
INTRODUCTION Overview Plasma frequency Debye length Plasma parameter Distribution functions Cyclotron frequencies Collisions Particle drifts Waves Plasma radiation BASIC KINETIC EQUATIONS The Klimontovich equation The Liouville equation System ensembles THE LENARD-BALESCU EQUATION Bogolyubov's hypothesis Solution via Fourier and Laplace transforms The Fokker-Planck equation Dynamic friction and diffusion THE VLASOV-MAXWELL EQUATIONS Electrostatic waves in an unmagnetized plasma Effects of collisions on Landau damping The Debye potential WAVES IN A MAGNETIZED HOT PLASMA The hot plasma dielectric tensor Electrostatic waves Velocity space instabilities Conservation of energy and power flow Collisional effects Relativistic plasma effects MOMENT EQUATIONS AND FLUID PLASMAS Moments of the distribution function The fluid equations Low frequency waves High frequency waves TRANSPORT IN A NONUNIFORM GAS Boltzmann equation Collision symmetries Collision theorems The equilibrium state The mean free time theory The formal theory of kinetic processes Results of the variational procedure TRANSPORT IN A NONUNIFORM BINARY GAS The Boltzmann equations The equations of hydrodynamics The collision terms The equilibrium state The formal theory of kinetic processes The variation method Results TRANSPORT WITH A FINITE MAGNETIC FIELD Boltzmann equations The magnetohydrodynamic (MHD) equations The formal theory of kinetic processes Solutions for the electrical conductivity Thermal conductivity and diffusion The pressure tensor Summary of results APPENDIX A: MATHEMATICAL FUNCTIONS APPENDIX B: COLLISION INTEGRALS APPENDIX C: NOTATION AND LIST OF SYMBOLS Bibliography Index
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- ID: 9781420075809
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