Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
2003
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | München, Techn. Univ., Diss., 2003 |
| Physical Description: | 109 S. Ill., graph. Darst. |
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MARC
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| 100 | 1 | |a Lauber, Philipp |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks |c Philipp Lauber |
| 264 | 1 | |c 2003 | |
| 300 | |a 109 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a München, Techn. Univ., Diss., 2003 | ||
| 650 | 0 | 7 | |a Magnetohydrodynamische Gleichung |0 (DE-588)4168592-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Tokamak |0 (DE-588)4139323-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Energiereiches Teilchen |0 (DE-588)4235813-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Plasmainstabilität |0 (DE-588)4174828-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Tokamak |0 (DE-588)4139323-5 |D s |
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| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010702734&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1816445213569187840 |
|---|---|
| adam_text |
CONTENTS
1
ABSTRACT
3
2
INTRODUCTION
4
2.1
CHALLENGE
FOR
THEORETICAL
MODELS
.
10
2.2
DISSERTATION
OUTLINE
.
14
3
THEORETICAL
MODEL:
GYROKINETIC
THEORY
16
3.1
GYROKINETIC
FIELD
THEORY
.
16
3.1.1
THE
CLASSICAL
FIELD
THEORY
FOR
CHARGED
PARTICLES
IN
AN
ELECTROMAG
NETIC
FIELD
.
16
3.1.2
TRANSFORMATION
TO
GUIDING-CENTRE-COORDINATES
.
18
3.1.3
PERTURBATION
OF
THE
LAGRANGIAN
.
20
3.1.4
GYROCENTRE-TRANSFORMATION
.
21
3.1.5
LOW
FREQUENCIES
.
22
3.1.6
MAXWELL-VLASOV-SYSTEM
.
23
3.2
LINEARISED
EQUATIONS
.
24
3.3
RESTRICTION
TO
SHEAR
ALFVEN
PHYSICS
IN
TOKAMAKS
.
26
3.3.1
POISSON
'
S
EQUATION
.
26
3.3.2
AMPERE
'
S
LAW
.
28
3.3.3
THE
GYROKINETIC
MOMENT
EQUATION
.
28
4
SOLUTION
IN
GENERAL
TOKAMAK
GEOMETRY
29
4.1
SPLITTING
OFF
ADIABATIC
TERMS
.
29
4.2
IDEAL
MHD
LIMIT
.
31
4.3
O-PARTICLES
.
32
4.4
KINETIC
INTEGRALS
.
34
4.4.1
CIRCULATING
PARTICLES
.
38
4.4.2
TRAPPED
PARTICLES
.
41
4.4.3
DRIFTS
IN
THE
GKM
EQUATION
.
43
5
NUMERICAL
IMPLEMENTATION
44
5.1
EQUILIBRIUM
.
45
5.2
EXPANSION
OF
DIFFERENTIAL
OPERATORS
WITH
MATHEMATICA
.
46
5.3
FINITE
ELEMENT
METHOD
.
46
5.4
CALCULATING
KINETIC
DATA
.
49
5.4.1
TRAPPED-PASSING-BOUNDARY
FINDER
(TPB-FINDER)
.
51
5.4.2
PARTICLE
ORBIT
INTEGRALS
.
53
5.5
VELOCITY
SPACE
INTEGRALS
.
53
5.6
EIGENVALUE
SOLVER
.
56
6
RESULTS
58
6.1
MHD
TEST
CASES
.
58
6.1.1
CYLINDER
GEOMETRY
.
58
6.1.2
STRAIGHT
TOKAMAK
GEOMETRY
.
59
6.1.3
TOROIDAL
GEOMETRY
.
60
6.2
ORBIT
INTEGRAL
RESULTS
.
62
6.2.1
BOUNCE
AND
DRIFT
FREQUENCY
.
62
6.2.2
PROPAGATOR
COEFFICIENTS
.
66
6.3
INTERNAL
KINK
MODE
.
69
6.4
TOROIDAL
ALFVEN
EIGENMODES
.
72
7
CONCLUSIONS
AND
OUTLOOK
80
8
APPENDIX
84
8.1
KLIMONTOVICH-EQUATIONS
.
84
8.2
LIOUVILLE
EQUATION
AND
BBGKY-HIERARCHY
.
85
8.3
VLASOV
EQUATION
.
87
8.4
GUIDING
CENTRE
TRANSFORMATION
.
88
8.5
LIE
TRANSFORMS
.
91
8.6
GYROCENTRE
TRANSFORMATION
.
93
8.7
USEFUL
FORMULAE
.
96
8.8
EQUILIBRIUM
.
98
8.8.1
GENERAL
2D
FLUX
COORDINATE
REPRESENTATION
.
98
8.8.2
STRAIGHT
CIRCULAR
TOKAMAK
GEOMETRY
.
100
8.8.3
CONCENTRIC
CIRCULAR
TOKAMAK
GEOMETRY
.
101
8.8.4
NUMERICAL
EQUILIBRIA
INFORMATION
.
103
REFERENCES
106
ACKNOWLEDGEMENTS
110
2 |
| any_adam_object | 1 |
| author | Lauber, Philipp |
| author_facet | Lauber, Philipp |
| author_role | aut |
| author_sort | Lauber, Philipp |
| author_variant | p l pl |
| building | Verbundindex |
| bvnumber | BV017830132 |
| classification_tum | PHY 580d PHY 592d |
| ctrlnum | (OCoLC)645678237 (DE-599)BVBBV017830132 |
| discipline | Physik |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV017830132 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:39:05Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010702734 |
| oclc_num | 645678237 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-12 |
| owner_facet | DE-91 DE-BY-TUM DE-12 |
| physical | 109 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| record_format | marc |
| spelling | Lauber, Philipp Verfasser aut Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks Philipp Lauber 2003 109 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2003 Magnetohydrodynamische Gleichung (DE-588)4168592-1 gnd rswk-swf Tokamak (DE-588)4139323-5 gnd rswk-swf Energiereiches Teilchen (DE-588)4235813-9 gnd rswk-swf Plasmainstabilität (DE-588)4174828-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Plasmainstabilität (DE-588)4174828-1 s Energiereiches Teilchen (DE-588)4235813-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Tokamak (DE-588)4139323-5 s Magnetohydrodynamische Gleichung (DE-588)4168592-1 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010702734&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lauber, Philipp Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks Magnetohydrodynamische Gleichung (DE-588)4168592-1 gnd Tokamak (DE-588)4139323-5 gnd Energiereiches Teilchen (DE-588)4235813-9 gnd Plasmainstabilität (DE-588)4174828-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4168592-1 (DE-588)4139323-5 (DE-588)4235813-9 (DE-588)4174828-1 (DE-588)4128130-5 (DE-588)4113937-9 |
| title | Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks |
| title_auth | Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks |
| title_exact_search | Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks |
| title_full | Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks Philipp Lauber |
| title_fullStr | Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks Philipp Lauber |
| title_full_unstemmed | Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks Philipp Lauber |
| title_short | Linear gyrokinetic description of fast particle effects on the MHD stability in tokamaks |
| title_sort | linear gyrokinetic description of fast particle effects on the mhd stability in tokamaks |
| topic | Magnetohydrodynamische Gleichung (DE-588)4168592-1 gnd Tokamak (DE-588)4139323-5 gnd Energiereiches Teilchen (DE-588)4235813-9 gnd Plasmainstabilität (DE-588)4174828-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Magnetohydrodynamische Gleichung Tokamak Energiereiches Teilchen Plasmainstabilität Numerisches Verfahren Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010702734&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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