Force-free magnetic fields: solutions, topology and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1996
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 157 S. graph. Darst. |
| ISBN: | 9810224974 |
Internformat
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Datensatz im Suchindex
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| adam_text | FORCE-FREE MRGHETIC FIELDS GERALD E MARSH WORLD SCIENTIFIC SINGAPORE *
NEWJERSEY * LONDON * HONG KONG CONTENTS PREFACE V CHAPTER 1.
INTRODUCTION 1 1.1. FORCE-FREE MAGNETIC FIELDS AND HYDRODYNAMICS 4 1.2.
RELEVANCE OF FORCE-FREE MAGNETIC FIELDS TO ASTROPHYSICS AND SOLAR
PHYSICS 6 CHAPTER 2. THE VIRIAL THEOREM 9 2.1 THE VIRIAL THEOREM APPLIED
TO MAGNETIC FIELDS. 10 2.1.1. VIRIAL CONDITION IN TERMS OF THE MAGNETIC
FIELD VECTORS 11 2.1.2. VIRIAL CONDITION IN TERMS OF THE MAXWELL STRESS
TENSOR 13 2.2 PRACTICAL APPLICATIONS OF THE VIRIAL THEOREM 14 CHAPTER 3.
SOLUTIONS TO THE FORCE-FREE FIELD EQUATIONS 17 3.1 GENERATION OF
SOLUTIONS TO THE FORCE-FREE FIELD EQUATIONS FROM SOLUTIONS TO THE WAVE
EQUATION 21 3.1.1 THE VECTOR WAVE EQUATION 21 3.1.2 THE SCALAR
WAVE EQUATION 22 3.1.3 WAVE EQUATION SOLUTIONS FOR BALLABH S
GENERALIZATION OF THE FORCE-FREE FIELD EQUATIONS 24 3.2 NON-CONSTANT O
SOLUTIONS TO THE FORCE-FREE FIELD EQUATIONS IN SPHERICAL AND CYLINDRICAL
COORDINATES 25 3.2.1 FLUX FUNCTIONS, TOROIDAL AND POLOIDAL FIELDS 26
3.2.2 SPHERICALLY SYMMETRIC SOLUTIONS 27 3.2.2.1 SEPARATION OF THE
GRAD-SHAFRANOV EQUATION IN TERMS OF AN ARBITRARY FUNCTION 28 3.2.2.2
SOLUTION OF THE SEPARATED GRAD-SHAFRANOV EQUATION 29 VLL FORCE-FREE
MAGNETIC FIELDS: SOLUTIONS, TOPOLOGY AND APPLICATIONS 3.2.3 AXIALLY
SYMMETRIC SOLUTIONS 33 3.2.3.1 THE GRAD-SHAFRANOV EQUATION FOR AXIAL
SYMMETRY 34 3.2.3.2 A HIERARCHICAL SET OF SOLUTIONS FOR A SPECIAL CLASS
OF FIELDS 35 3.2.3.2.1 SOLUTION FOR THE CASE WHERE H = [0, H^R), H T
(R)} 36 3.2.3.2.2 AN HIERARCHICAL SET OF SOLUTIONS 38 3.3 SOLUTIONS IN
TOROIDAL COORDINATES 41 3.3.1 TOROIDAL COORDINATES 43 3.3.2 NON-CONSTANT
A FIELD EQUATIONS 45 3.3.3 SOLUTION IN TOROIDAL COORDINATES FOR CONSTANT
A 46 CHAPTER 4. FIELD TOPOLOGY 57 4.1 MAGNETIC SURFACES 59 4.1.1.
TOPOLOGY OF NON-CONSTANT A SOLUTIONS 60 4.1.2. TOPOLOGY OF CONSTANT A
SOLUTIONS 62 4.2 MAGNETIC FIELD HELICITY 64 4.2.1. TWIST, KINK AND LINK
HELICITY 65 4.2.2. HELICITY AND LOCALITY .. 68 4.2.3. THE CLASSICAL AND
ASYMPTOTIC HOPF INVARIANT 70 4.2.3.1 THE CLASSICAL HOPF INVARIANT 72
4.2.3.2. THE ASYMPTOTIC HOPF INVARIANT 75 CHAPTER 5. MAGNETIC ENERGY IN
MULTIPLY CONNECTED DOMAINS 83 5.1 GAUGE INVARIANCE 88 5.2 DE RHAM S
THEOREMS AND HOMOLOGY 89. 5.3 PHYSICAL INTERPRETATION OF THE MAGNETIC
ENERGY BOUNDARY TERM 93 5.3.1. PHYSICAL EXAMPLES 96 5.3.1.1. RING
CURRENT IN A TOROIDAL DOMAIN 96 5.3.1.2. APPLICATION TO FORCE-FREE
FIELDS 98 CHAPTER 6. APPLICATIONS 103 6.1 SOLAR PROMINENCE MODELS 104
6.2 TYPE II SUPERCONDUCTORS 108 CONTENTS IX APPENDIX 1. FORCE-FREE
FIELDS AND ELECTROMAGNETIC WAVES 119 AL.L ELECTROMAGNETIC FIELDS WITH E
PARALLEL TO B 119 A1.2 THE PROPAGATION OF ELECTROMAGNETIC WAVES IN
OPTICALLY ACTIVE MEDIA 124 APPENDIX 2. PROOF OF THE JACOBI POLYNOMIAL
IDENTITIES 129 APPENDIX 3. SEPARATION OF THE WAVE EQUATION, CYCLIDES,
AND BOUNDARY CONDITIONS 133 A3.1 SEPARATION OF THE WAVE EQUATION 133
A3.2CYCLIDES 143 A3.3 BOUNDARY CONDITIONS FOR THE HELMHOLTZ AND VECTOR
WAVE EQUATION 151 INDEX 155
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:00:44Z |
| institution | BVB |
| isbn | 9810224974 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007287008 |
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| physical | IX, 157 S. graph. Darst. |
| publishDate | 1996 |
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| publisher | World Scientific |
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| spelling | Marsh, Gerald E. Verfasser aut Force-free magnetic fields solutions, topology and applications Gerald E. Marsh Singapore [u.a.] World Scientific 1996 IX, 157 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cosmic magnetic fields Field theory (Physics) Force-free magnetic fields Hydrodynamics Topology Topologie (DE-588)4060425-1 gnd rswk-swf Magnetfeld (DE-588)4074450-4 gnd rswk-swf Magnetfeld (DE-588)4074450-4 s Topologie (DE-588)4060425-1 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007287008&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marsh, Gerald E. Force-free magnetic fields solutions, topology and applications Cosmic magnetic fields Field theory (Physics) Force-free magnetic fields Hydrodynamics Topology Topologie (DE-588)4060425-1 gnd Magnetfeld (DE-588)4074450-4 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4074450-4 |
| title | Force-free magnetic fields solutions, topology and applications |
| title_auth | Force-free magnetic fields solutions, topology and applications |
| title_exact_search | Force-free magnetic fields solutions, topology and applications |
| title_full | Force-free magnetic fields solutions, topology and applications Gerald E. Marsh |
| title_fullStr | Force-free magnetic fields solutions, topology and applications Gerald E. Marsh |
| title_full_unstemmed | Force-free magnetic fields solutions, topology and applications Gerald E. Marsh |
| title_short | Force-free magnetic fields |
| title_sort | force free magnetic fields solutions topology and applications |
| title_sub | solutions, topology and applications |
| topic | Cosmic magnetic fields Field theory (Physics) Force-free magnetic fields Hydrodynamics Topology Topologie (DE-588)4060425-1 gnd Magnetfeld (DE-588)4074450-4 gnd |
| topic_facet | Cosmic magnetic fields Field theory (Physics) Force-free magnetic fields Hydrodynamics Topology Topologie Magnetfeld |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007287008&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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