| Description |
1 online resource (435 pages) |
| Series |
International Series on Astronomy and Astrophysics ; v. 1 |
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International series on astronomy and astrophysics.
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| Contents |
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 |
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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 |
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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 |
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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 |
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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 |
| Summary |
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. The formation of the tangential discontinuities is driven by Maxwell stresses and provides sites for rapid reconnection and dissipation of the magnetic free energy, which is the primary cause of the sun's x-ray emitting corona |
| Notes |
7.6 Refraction in a Slab and Field Line Topology |
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Print version record |
| Subject |
Solar x-rays.
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Cosmic magnetic fields.
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Magnetostatics.
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SCIENCE -- Astronomy.
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Stars -- Corona
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Cosmic magnetic fields
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Magnetostatics
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Solar x-rays
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| SUBJECT |
Sun -- Corona.
http://id.loc.gov/authorities/subjects/sh85130465
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| Subject |
Sun
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Sol.
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| Form |
Electronic book
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| ISBN |
9780195360851 |
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0195360850 |
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