Magnetohydrodynamics, the study of the motion of electrically conducting fluids in magnetic fields, is an important area in plasma physics. The effects of instabilities in such electrical fluids are very difficult to calculate and this is the first book to deal with the subject as a whole in a detailed manner. MHD and Microinstabilities in Confined Plasma starts from first principles and builds up to a full understanding of MHD. It features a number of topics not covered in other books on plasma, including non-linear theory, anomalous transport and magnetic reconnection.
Sprache
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Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
ISBN-13
978-0-85274-282-2 (9780852742822)
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Schweitzer Klassifikation
Linear MHD: Experimental and observational evidence for MHD instabilities. Introduction to MHD. The energy principle. Free surface modes in a cylindrical plasma. Gravitational (g) modes in slab geometry. Resistive g modes. The tearing mode. Internal MHD instabilities in cylindrical plasmas. Instabilities in a toroidal plasma. Part 2: Nonlinear MHD: Quasi-linear theory of MHD instabilities. Quasi-linear theory and simplified nonlinear theory of tearing modes. Steady state quasi-linear theory of resistive g modes. Island overlap and the onset of stochasticity. The Taylor-Woltjer theory of spontaneous field reversal and current limitation. Kadomtsev's theory of internal disruptions and introduction to numerical simulations. Part 3: Microinstabilities (trapped particle) and anomalous transport: Effects of transport on tokamak discharges. Drift waves in an inhomogeneous plasma. Drift wave destabilized by a small population of trapped electrons. Shear stabilization of drift-wave instabilities. A collection of formulae concerning the magnetic field and particle orbits in a torus. Vlasov theory of the trapped-electron response. Variational calculation of eigenfunctions and eigenvalues. Anomalous transport from trapped-particle instabilities. The marginal stability approach. Stabilization by mode coupling. Scaling laws for transport coefficients. Particle simulations. Appendices. Index.
