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Ideal magnetohydrodynamics

Book ·
OSTI ID:5612158
Over the past 2 decades, ideal magnetohydrodynamics (MHD), has developed into a relatively mature theory within the field of plasma physics. MHD represents the simplest, self-consistent model describing the macroscopic equilibrium and stability properties of plasma. Thus, the role of ideal MHD in magnetic fusion is the discovery of magnetic geometries that possess attractive equilibrium and stability properties for fusion reactors. This book is based on the author's two-semester sequence in MHD theory offered at MIT. The first semester is devoted to ideal magnetohydrodynamics and is largely involved in studying equilibrium and fast, often catastrophic, instabilities. The second semester treats slower, nonideal effects (such as resistivity, pressure anisotropy, and finite Larmor radius effects) and their influence on plasmas that are stable or at most, weakly unstable against the ideal modes. This textbook is concerned with the first semester's material. The author's goal is to provide an in-depth introduction to the subject of ideal magnetohydrodynamics. The style has a theoretical emphasis with considerable discussion of the application of theory to experiments and generous examples of the experiments themselves. The book has been written to satisfy the needs of the pedagogical requirements of the student. Accordingly, there are many descriptive explanations and virtually every equation is derived - either in detail, in outline form, or in the Appendices. Chapters are basically divided between equilibrium: general considerations, one-dimensional configurations, two-dimensional configurations, three-dimensional configurations; and stability; general considerations, one-dimensional configurations, and multidimensional configurations.
OSTI ID:
5612158
Country of Publication:
United States
Language:
English