This book results from recent studies aimed at answering questions raised by astrophycists who use values of transport coefficients that are old and often unsatisfactoty. The few books dealing with the rigorous kinetic theory of a ionized plasma are based on the so called Landau (Fokker-Planck) equation and they seldom relate the microscopic results with their macroscopic counterpart provided by classical non-equilibrium thermodynamics. In this book both issues are thoroughly coveref. Starting from the full Boltzmann equation for inert dilute plasmas and using the Hilbert-Chapman-Enskog method to solve the first twoapproximations in Knudsen´s parameter, we construct all the transport properties of the system within the framework of linear irreversible thermodynamics. This includes a systematic study of all possible cross effects (which, except for a few cases, were never treated in the literature) as well as the famous H-theorem. Unified formalism to deal with dilute non-equilibrium plasmas Deep analysis of the physical content of magneto-hydrodynamics Unravels the strong relationship between micro- and macroscopic features of plasmas Illustrates theinfluence of magnetic fields in plasma kinetic theory INDICE: 1 Non-equilibrium Thermodynamics.- 2 The Problem. 2.1 ConservationEquations. 2.2 The H Theorem and Local Equilibrium.- 3 Solution of the Boltzmann Equation.- 4 Calculation of the Currents. 4.1 Diffusion Effects. 4.2 Flow of Heat.- 5 Solution of the Integral Equations.- 6 The Transport Coefficients.- 7 Discussion of the Results.- 8 Viscomagnetism. 8.1 The Integral Equation. 8.2 The Stress Tensor. 8.3 The Integral Equation. 8.4 Comparison with Thermodynamics.- 9 Magnetohydrodynamics.- A Calculation of M. B Linearized Boltzmann Collision Kernels. C The case when = 0. D The collision integrals. E Calculationof the coefficients. F Appendix F. G Appendix G. H Appendix H. I List of Marshall s equations and notation. I.1 Equations. I.2 Notation.
- ISBN: 978-1-4020-9329-6
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 215
- Fecha Publicación: 01/12/2008
- Nº Volúmenes: 1
- Idioma: Inglés