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Spontaneous Current Sheets in Magnetic Fields : With Applications to Stellar X-rays.
This book expands upon ideas in the author's classic text Cosmical Magnetic Fields. This is the first book-length treatment of the magnetohydrodynamic theory of spontaneous magnetic discontinuities. Most continuous magnetic fields develop internal discontinuities as they relax to equilibrium. T...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Oxford University Press,
1994.
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| Colección: | International series on astronomy and astrophysics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1 INTRODUCTION; 1.1 The General Picture; 1.2 Activity of Stars and Galaxies; 1.3 The Nature of Active Magnetic Fields; 1.4 Rapid Dissipation; 1.5 The Magnetostatic Theorem; 1.6 Continuous Magnetostatic Fields; 1.7 Perturbations of a Continuous Field; 1.8 Tangential Discontinuities; 1.9 The Optical Analogy; 1.10 General Discussion; 1.11 Hydrodynamic Turbulence; 2 THE FIELD EQUATIONS; 2.1 Appropriate Field Concepts; 2.1.1 Momentum and Energy of the Particles; 2.1.2 Electromagnetic Momentum and Energy; 2.2 The MHD Limit; 2.2.1 Statistical Averages.
- 2.2.2 Electromagnetics of a Noninsulating Fluid2.2.3 Electromagnetics of a Weakly Insulating Fluid; 2.2.4 Alternative Formulations; 2.3 The MHD Equations in a Tenuous Plasma; 2.4 Deviations from MHD; 2.4.1 Parallel Electric Field; 2.4.2 Surfaces of Discontinuity; 2.4.3 Anomalous Resistivity; 2.4.4 Onset of Anomalous Resistivity and Electric Double Layers; 3 INVARIANCE, DEGENERACY, AND CONTINUOUS SOLUTIONS; 3.1 Magnetostatic Equilibrium Equations; 3.2 Field Configurations; 3.3 Basic Field Configuration; 3.4 Characteristics and Discontinuities; 3.5 Unlimited Winding; 3.6 Action at a Distance.
- 4 FORMAL STRUCTURE OF THE MAGNETOSTATIC EQUATIONS4.1 Introduction; 4.2 Continuous Solutions; 4.3 Invariant Fields; 4.4 Nearly Invariant Fields; 4.5 Infinitesimal Perturbation to a Force-Free Field; 4.6 Integral Constraints; 4.7 Further Integral Constraints; 4.8 Infinitesimal Perturbation Including Fluid Pressure; 4.9 Physical Basis for Tangential Discontinuities; 4.10 Discontinuities and Dynamical Nonequilibrium; 4.11 Hamiltonian Formulation of the Magnetostatic Field; 4.11.1 Reformulation of Hamiltonian Representation; 4.11.2 Destruction of Flux Surfaces.
- 5 DIRECT INTEGRATION OF EQUILIBRIUM EQUATIONS5.1 Description of the Field; 5.2 The Equilibrium Equations for a Force-Free Field; 5.3 Topology of Field Lines; 5.4 The Primitive Torsional Field; 5.4.1 Elementary Integration; 5.4.2 Asymptotic Solution; 5.5 Continuous Solutions; 5.5.1 Solution for Primitive Force-Free Field; 5.5.2 The Field Topology; Appendix: Field Lines in a Canted Field; 6 EXAMPLES OF FIELD DISCONTINUITIES; 6.1 Introduction; 6.2 Compression of a Primitive Force-Free Field; 6.3 Tangential Discontinuities in Two Dimensions; 6.4 Free Energy of a Discontinuity.
- 6.5 The Y-Type Neutral Point in a Potential Field6.6 Free Energy Above a Plane Boundary; 6.7 Free Energy of an Extended Neutral Point; 6.8 The Creation of X-Type Neutral Points; 6.9 Direct Numerical Simulation; 6.10 Discontinuity Through Instability; 6.11 Discontinuities Between Twisted Flux Bundles; 6.12 Physical Construction of Continuous Fields; 6.13 Time-Dependent Fields; 7 THE OPTICAL ANALOGY; 7.1 The Basic Construction; 7.2 Special Cases; 7.3 The Field Rotation Effect; 7.4 Refraction Around a Maximum; 7.4.1 General Parabolic Maximum; 7.4.2 Gaussian Maximum; 7.5 Non-Euclidean Surfaces.