Lectures in Magnetohydrodynamics With an Appendix on Extended MHD /

• Κύριος συγγραφέας: Schnack, Dalton D. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Physics, 780
• Θέματα: Physics.; Nuclear energy.; Space sciences.; Atoms.; Matter.; Plasma (Ionized gases).; Magnetism.; Magnetic materials.; Applied and Technical Physics.; Magnetism, Magnetic Materials.; Plasma Physics.; Atoms and Molecules in Strong Fields, Laser Matter Interaction.; Extraterrestrial Physics, Space Sciences.; Nuclear Energy.

This concise and self-contained primer is based on class-tested notes for an advanced graduate course in MHD. The broad areas chosen for presentation are the derivation and properties of the fundamental equations, equilibrium, waves and instabilities, self-organization, turbulence, and dynamos. The...

Πίνακας περιεχομένων:

• Review of Scalars, Vectors, Tensors, and Dyads
• Mass Conservation and the Equation of Continuity
• The Equation of Motion
• Energy Flow
• The Electromagnetic Field
• Closures
• Conservation Laws
• Ideal MHD and the Frozen Flux Theorem
• Resistivity and Viscosity
• Similarity Scaling
• The W#x00F6;ltjer Invariants of Ideal MHD, Topological Invariance, Magnetic and Cross-Helicity
• Reduced MHD
• Equilibrium: General Considerations#x2014; The Virial Theorem
• Simple MHD Equilibria
• Poloidal Beta, Paramagnetism, and Diamagnetism
• #x201C;Force-Free#x201D; Fields
• Toroidal Equilibrium; The Grad#x2013;Shafranov Equation
• Behavior of Small Displacements in Ideal MHD
• Linearized Equations and the Ideal MHD Force Operator
• Boundary Conditions for Linearized Ideal MHD
• Proof that the Ideal MHD Force Operator is Self-Adjoint
• Waves in a Uniform Medium: Special Cases
• Waves in a Uniform Medium: Arbitrary Angle of Propagation
• The Calculus of Variations and the Ideal MHD Energy Principle
• Examples of the Application of the Energy Principle
• The Rayleigh#x2013;Ritz Technique for Estimating Eigenvalues
• The Gravitational Interchange Mode or -Mode
• Comments on the Energy Principle and the Minimizing Eigenfunction
• Examples of the Application of the Energy Principle to Cylindrical Equilibria
• A Very Brief and General Tour of Suydam Analysis for Localized Interchange Instabilities
• Magnetic Reconnection
• Steady Reconnection: The Sweet#x2013;Parker Problem
• Resistive Instabilities: The Tearing Mode
• Resistive Instabilities: Closing Remarks
• Turbulence
• MHD Relaxation: Magnetic Self-Organization
• Dynamos: Magnetic Field Generation and Maintenance.