New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories: 1
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
[Garching]
Max-Planck-Inst. für Plasmaphysik
(2001)
|
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 45 S. |
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MARC
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| 100 | 1 | |a Pfirsch, Dieter |d 1927-2004 |e Verfasser |0 (DE-588)131898264 |4 aut | |
| 245 | 1 | 0 | |a New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories |n 1 |c D. Pfirsch ; D. Correa-Restrepo. [Max-Planck-Institut für Plasmaphysik] |
| 264 | 1 | |a [Garching] |b Max-Planck-Inst. für Plasmaphysik |c (2001) | |
| 300 | |a 45 S. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 700 | 1 | |a Correa-Restrepo, Darío |e Verfasser |4 aut | |
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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=009684135&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
I
INTRODUCTION
5
II
LAGRANGIANS
FOR
KINETIC
EQUATIONS
IN
GENERAL
COORDINATES
9
A
PHASE-SPACE
LAGRANGIAN
.
9
B
TRANSFORMATION
TO
NEW
VARIABLES
I,
.,
6
;
T
.
9
C
DIRAC
'
S
HAMILTONIAN
.
10
D
THE
LAGRANGIAN
FOR
A
KINETIC
EQUATION
.
11
E
COVARIANCE
PROPERTY
OF
THE
LAGRANGIAN
FOR
THE
KINETIC
EQUATIONS
.
14
III
REFORMULATION
OF
THE
EQUATIONS
OF
MOTION
SUITABLE
FOR
KRUSKAL
'
S
FORMALISM
16
A
THE
KRUSKAL
FORM
OF
THE
EQUATIONS
OF
MOTION
AND
RELATED
REQUIREMENTS
18
B
ESTIMATE
OF
THE
ALLOWED
FLUCTUATION
DENSITIES
FOR
ELECTROSTATIC
PERTUR
BATIONS
.
20
IV
THE
INVERSE
KRUSKAL
METHOD
21
A
GENERAL
OUTLINE
.
21
B
RECURSION
PROCEDURE
.
22
C
SOLUTION
BY
ITERATION
.
23
1
REMARKS
ON
THE
GYROKINETIC
THEORY
.
23
2
NOTATIONS
.
24
3
STRUCTURE
OF
THE
ITERATION
PROCEDURE
.
24
4
ORDERS
IN
E
NEEDED
.
24
5
ZEROTH
ORDER
.
24
6
FIRST
ORDER
.
25
V
REDUCED
PHASE-SPACE
LAGRANGIAN
26
A
CONVENIENT
CHOICE
OF
A
GAUGE
FUNCTION
IN
THE
PHASE-SPACE
LAGRANGIAN
26
B
REDUCED
PHASE-SPACE
LAGRANGIAN
.
28
C
VECTOR
REPRESENTATION
OF
THE
REDUCED
LAGRANGIAN
AND
THE
EULER-LAGRANGE
EQUATIONS
.
29
1
THE
LITTLEJOHN
LAGRANGIAN
.
31
VI
MAXWELL-KINETIC
THEORY
IN
THE
REDUCED
PHASE
SPACE
32
A
QUANTITIES
ENTERING
THE
LAGRANGIAN
FOR
THE
KINETIC
THEORY
.
32
1
THE
CANONICAL
MOMENTA
IN
THE
REDUCED
PHASE
SPACE
.
32
2
DIRAC
'
S
CONSTRAINED
HAMILTONIAN
.
32
B
MAXWELL-KINETIC
THEORY
.
33
1
THE
LAGRANGIAN
.
33
2
LIOUVILLE
'
S
THEOREM
.
33
3
THE
KINETIC
EQUATION
.
34
4
SKETCH
OF
A
PROCEDURE
FOR
OBTAINING
THE
INHOMOGENEOUS
MAXWELL
EQUATIONS
AND
CONSERVATION
LAWS
.
34
VII
SUMMARY
35
APPENDIX
A
DIRECT
PROOF
OF
^J(Z,/)
=
0
36
APPENDIX
B
PROPERTIES
OF
SOME
LAGRANGE
BRACKETS
37
APPENDIX
C
ALTERNATIVE
DERIVATION
OF
A
LIOUVILLIAN
VOLUME
ELEMENT
40
APPENDIX
D
LIOUVILLE
'
S
THEOREM
41 |
| any_adam_object | 1 |
| author | Pfirsch, Dieter 1927-2004 Correa-Restrepo, Darío |
| author_GND | (DE-588)131898264 |
| author_facet | Pfirsch, Dieter 1927-2004 Correa-Restrepo, Darío |
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| author_sort | Pfirsch, Dieter 1927-2004 |
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| building | Verbundindex |
| bvnumber | BV014130843 |
| ctrlnum | (OCoLC)76362750 (DE-599)BVBBV014130843 |
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| id | DE-604.BV014130843 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-19T00:09:57Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009684135 |
| oclc_num | 76362750 |
| open_access_boolean | |
| owner | DE-12 DE-19 DE-BY-UBM |
| owner_facet | DE-12 DE-19 DE-BY-UBM |
| physical | 45 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Max-Planck-Inst. für Plasmaphysik |
| record_format | marc |
| spelling | Pfirsch, Dieter 1927-2004 Verfasser (DE-588)131898264 aut New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories 1 D. Pfirsch ; D. Correa-Restrepo. [Max-Planck-Institut für Plasmaphysik] [Garching] Max-Planck-Inst. für Plasmaphysik (2001) 45 S. txt rdacontent n rdamedia nc rdacarrier Correa-Restrepo, Darío Verfasser aut (DE-604)BV014130842 1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009684135&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pfirsch, Dieter 1927-2004 Correa-Restrepo, Darío New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories |
| title | New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories |
| title_auth | New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories |
| title_exact_search | New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories |
| title_full | New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories 1 D. Pfirsch ; D. Correa-Restrepo. [Max-Planck-Institut für Plasmaphysik] |
| title_fullStr | New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories 1 D. Pfirsch ; D. Correa-Restrepo. [Max-Planck-Institut für Plasmaphysik] |
| title_full_unstemmed | New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories 1 D. Pfirsch ; D. Correa-Restrepo. [Max-Planck-Institut für Plasmaphysik] |
| title_short | New method of deriving local energy and momentum-conserving Maxwell-collisionless drift-kinetic and gyrokinetic theories |
| title_sort | new method of deriving local energy and momentum conserving maxwell collisionless drift kinetic and gyrokinetic theories |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009684135&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014130842 |
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