Stretch, twist, fold: the fast dynamo:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1995
|
| Series: | [Lecture notes in physics / M]
37 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 406 S. Ill., graph. Darst. |
| ISBN: | 3540602585 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804124784077832192 |
|---|---|
| adam_text | STEPHEN CHILDRESS ANDREW D. GILBERT
STRETCH, TWIST, FOLD:
THE FAST DYNAMO
SPRINGER
CONTENTS
PAR
T I
. INTRODUCTION
: IDEA
S AN
D EXAMPLE
S
1
. TH
E FAS
T DYNAM
O PROBLE
M 1
1.1 MAGNETIC FIELD
S IN ASTROPHYSIC
S 2
1.2 KINEMATIC
S OF TH
E MAGNETIC FIEL
D 5
1.3 SLOW AN
D FAS
T DYNAMO
S 19
1.4 STRETCH-TWIST-FOLD
: TH
E ST
F PICTUR
E 24
1.5 TH
E NATUR
E OF TH
E PERFECTLY CONDUCTIN
G LIMIT 27
1.6 MEASURE
S OF STRETCHIN
G 30
2
. FAS
T DYNAM
O ACTIO
N I
N FLOW
S
31
2.1 COMPUTIN
G A FAS
T DYNAM
O 31
2.2 NUMERICA
L EVIDENC
E FOR A FAS
T DYNAM
O
IN OTANI
S MW
+ FLOW 33
2.3 EIGENFUNCTIONS AN
D TH
E STRETCH-FOLD-SHEA
R MECHANISM ...
. 35
2.4 MAGNETIC FIELD EVOLUTION WIT
H E = 0 42
2.5 DISCUSSION OF TH
E FLU
X CONJECTUR
E 47
2.6 STEAD
Y THREE-DIMENSIONA
L FLOWS 51
,
3
. FAS
T DYNAMO
S I
N MAP
S
. 61
3.1 PULSE
D BELTRAM
I WAVES 62
3.2 TH
E SFS MA
P 69
3.3 GENERALIZE
D BAKER
S MAP
S 76
3.4 TH
E SLIDE OR SFS1 MA
P 81
3.5 CA
T MAP
S , 84
-X CONTENTS
PART II
. METHOD
S AND THEIR APPLICATION
4. DYNAMO
S AND NON-DYNAMO
S
89
4.1 MEASURES OF DYNAMO ACTION 89
4.2 ANTI-DYNAMO THEOREMS 99
4.3 NON-EXISTENCE OF SMOOTH EIGENFUNCTIONS 106
5. MAGNETIC STRUCTURE IN STEAD
Y INTEGRABLE FLOWS
113
5.1 THE ROBERTS CELL 116
5.2 BASIC MECHANISMS 118
5.3 KINEMATIC PRANDTL-BATCHELOR THEORY 124
5.4 HELICAL DYNAMOS 129
5.5 ANALYSIS OF THE ROBERTS CELL AND EXTENSIONS 133
5.6 AXISYMMETRIC BOUNDARY LAYERS 146
6. UPPER BOUND
S
149
6.1 FIELD GROWTH AND TOPOLOGICAL ENTROPY 149
6.2 OSELEDETS CONJECTURE 153
6.3 FREDHOLM DETERMINANTS, PERIODIC ORBITS
AND ZETA FUNCTIONS 155
6.4 DYNAMO ACTION IN THE CAT FLOW 165
6.5 ANOSOV FLOWS 168
6.6 AN APPROXIMATE GREEN S FUNCTION 172
6.7 NOISY TRAJECTORIES AND DIFFUSION 177
6.8 SHADOWING AND THE FLUX CONJECTURE 181
7. MAGNETIC STRUCTURE IN CHAOTIC FLOWS
185
7.1 INTERMITTENCY 185
7.2 THE CANCELLATION EXPONENT 190
7.3 STEADY FLOWS 197
8. NEARL
Y INTEGRABLE FLOW
S
213
8.1 THE ONSET OF CHAOS 214
8.2 DYNAMO ACTION IN THE CHAOTIC WEB 221
8.3 A MODEL FOR PERFECT DYNAMO ACTION 231
8.4 ANALYSIS 237
CONTENTS XI
9. SPECTR
A AND EIGENFUNCTIONS
245
9.1 PRELIMINARIES 246
9.2 THE SPECTRUM OF L
E
250
9.3 ADJOINTS AND NORMALITY 256
9.4 A MODEL PROBLEM 260
9.5 BAKER S MAPS REVISITED 262
9.6 THE SFS1 AND SFS MAPS 273
9.7 PULSED WAVES 284
10. STRONGL
Y CHAOTIC SYSTEM
S
289
10.1 DIFFEOMORPHISMS OF T
2
290
10.2 PULSED BELTRAMI WAVES 295
10.3 SFS IN THE LIMIT OF STRONG CHAOS 303
10.4 CAT MAPS AND PSEUDO-ANOSOV MAPS WITH SHEAR 306
11
. RANDO
M FAST DYNAMO
S
319
L.
L RANDOM RENEWING FLOWS 320
11.2 DIFFUSIONLESS EVOLUTION OF FIELD 322
11.3 STRETCHING IN RANDOM FLOWS 326
11.4 DIFFUSION AND DYNAMO ACTION 330
11.5 NUMERICAL SIMULATIONS : 337
12. DYNAMIC
S
343
12.1 FORMULATION 345
12.2 THE POST-KINEMATIC APPROACH 350;
12.3 NUMERICAL STUDIES . 360
12.4 MHD TURBULENCE AND DYNAMO SATURATION 371
12.5 ASTROPHYSICAL IMPLICATIONS . . . 374
12.6 THE PROSPECTS FOR MODELLING 379
REFERENCE
S
381
INDEX
397
|
| any_adam_object | 1 |
| author | Childress, Stephen Gilbert, Andrew D. |
| author_facet | Childress, Stephen Gilbert, Andrew D. |
| author_role | aut aut |
| author_sort | Childress, Stephen |
| author_variant | s c sc a d g ad adg |
| building | Verbundindex |
| bvnumber | BV010359483 |
| callnumber-first | Q - Science |
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| callnumber-subject | QC - Physics |
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| dewey-full | 523.01/886 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 523 - Specific celestial bodies and phenomena |
| dewey-raw | 523.01/886 |
| dewey-search | 523.01/886 |
| dewey-sort | 3523.01 3886 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Geowissenschaften Physik Mathematik |
| format | Book |
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| id | DE-604.BV010359483 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:51:10Z |
| institution | BVB |
| isbn | 3540602585 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006897320 |
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| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-20 DE-11 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-20 DE-11 |
| physical | XI, 406 S. Ill., graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series2 | [Lecture notes in physics / M] |
| spelling | Childress, Stephen Verfasser aut Stretch, twist, fold: the fast dynamo Stephen Childress ; Andrew D. Gilbert Berlin [u.a.] Springer 1995 XI, 406 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Lecture notes in physics / M] 37 Champs magnétique (Physique spatiale) ram Dynamotheorie gtt Théorie dynamo (physique spatiale) ram Cosmic magnetic fields Dynamo theory (Cosmic physics) Dynamotheorie (DE-588)4135270-1 gnd rswk-swf Magnetfeld (DE-588)4074450-4 gnd rswk-swf Astrophysik (DE-588)4003326-0 gnd rswk-swf Generator (DE-588)4020119-3 gnd rswk-swf Dynamotheorie (DE-588)4135270-1 s DE-604 Generator (DE-588)4020119-3 s 1\p DE-604 Magnetfeld (DE-588)4074450-4 s 2\p DE-604 Astrophysik (DE-588)4003326-0 s 3\p DE-604 Gilbert, Andrew D. Verfasser aut M] [Lecture notes in physics 37 (DE-604)BV021852221 37 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006897320&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Childress, Stephen Gilbert, Andrew D. Stretch, twist, fold: the fast dynamo Champs magnétique (Physique spatiale) ram Dynamotheorie gtt Théorie dynamo (physique spatiale) ram Cosmic magnetic fields Dynamo theory (Cosmic physics) Dynamotheorie (DE-588)4135270-1 gnd Magnetfeld (DE-588)4074450-4 gnd Astrophysik (DE-588)4003326-0 gnd Generator (DE-588)4020119-3 gnd |
| subject_GND | (DE-588)4135270-1 (DE-588)4074450-4 (DE-588)4003326-0 (DE-588)4020119-3 |
| title | Stretch, twist, fold: the fast dynamo |
| title_auth | Stretch, twist, fold: the fast dynamo |
| title_exact_search | Stretch, twist, fold: the fast dynamo |
| title_full | Stretch, twist, fold: the fast dynamo Stephen Childress ; Andrew D. Gilbert |
| title_fullStr | Stretch, twist, fold: the fast dynamo Stephen Childress ; Andrew D. Gilbert |
| title_full_unstemmed | Stretch, twist, fold: the fast dynamo Stephen Childress ; Andrew D. Gilbert |
| title_short | Stretch, twist, fold: the fast dynamo |
| title_sort | stretch twist fold the fast dynamo |
| topic | Champs magnétique (Physique spatiale) ram Dynamotheorie gtt Théorie dynamo (physique spatiale) ram Cosmic magnetic fields Dynamo theory (Cosmic physics) Dynamotheorie (DE-588)4135270-1 gnd Magnetfeld (DE-588)4074450-4 gnd Astrophysik (DE-588)4003326-0 gnd Generator (DE-588)4020119-3 gnd |
| topic_facet | Champs magnétique (Physique spatiale) Dynamotheorie Théorie dynamo (physique spatiale) Cosmic magnetic fields Dynamo theory (Cosmic physics) Magnetfeld Astrophysik Generator |
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