Modern plasma physics: 1 Physical kinetics of turbulent plasmas
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Umfang: | XV, 417 S. Ill., graph. Darst. |
| ISBN: | 9780521869201 |
Internformat
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV036053044 | ||
| 003 | DE-604 | ||
| 005 | 20140911 | ||
| 007 | t| | ||
| 008 | 100226s2010 xxuad|| |||| 00||| eng d | ||
| 020 | |a 9780521869201 |9 978-0-521-86920-1 | ||
| 035 | |a (OCoLC)633817299 | ||
| 035 | |a (DE-599)BVBBV036053044 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-20 |a DE-19 |a DE-703 |a DE-188 | ||
| 084 | |a UR 8000 |0 (DE-625)146642: |2 rvk | ||
| 100 | 1 | |a Diamond, Patrick H. |e Verfasser |0 (DE-588)141720778 |4 aut | |
| 245 | 1 | 0 | |a Modern plasma physics |n 1 |p Physical kinetics of turbulent plasmas |c Patrick H. Diamond ; Sanae-I. Itoh ; Kimitaka Itoh |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2010 | |
| 300 | |a XV, 417 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 700 | 1 | |a Itō, Sanae-I. |d 1952- |e Verfasser |0 (DE-588)111972485 |4 aut | |
| 700 | 1 | |a Itoh, Kimitaka |e Verfasser |4 aut | |
| 773 | 0 | 8 | |w (DE-604)BV036053018 |g 1 |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018944686 | |
Datensatz im Suchindex
| _version_ | 1819251122697666560 |
|---|---|
| adam_text | Contents
Preface
page
xi
Acknowledgements
xv
1
Introduction
1
1.1
Why?
1
1.2
The purpose of this book
4
1.3
Readership and background literature
6
1.4
Contents and structure of this book
7
1.5
On using this book
15
2
Conceptual foundations
18
2.1
Introduction
18
2.2
Dressed test particle model of fluctuations in a plasma near
equilibrium
20
2.2.1
Basic ideas
20
2.2.2
Fluctuation spectrum
24
2.2.3
Relaxation near equilibrium and the Balescu-Lenard
equation
35
2.2.4
Test particle model: looking back and looking ahead
48
2.3
Turbulence: dimensional analysis and beyond
-
revisiting the
theory of hydrodynamic turbulence
51
2.3.1
Key elements in Kolmogorov theory of cascade
51
2.3.2
Two-dimensional fluid turbulence
57
2.3.3
Turbulence in pipe and channel flows
65
2.3.4
Parallels between K41 and Prandtl s theory
71
3
Quasi-linear theory
72
3.1
The why and what of quasi-linear theory
72
3.2
Foundations, applicability and limitations of quasi-linear theory
77
vi
Contents
3.2.1
Irreversibility
77
3.2.2
Linear
response
79
3.2.3
Characteristic
time-scales in resonance processes
80
3.2.4
Two-point and two-time correlations
82
3.2.5
Note on entropy production
85
3.3
Energy and momentum balance in quasi-linear theory
86
3.3.1
Various energy densities
86
3.3.2
Conservation laws
88
3.3.3
Roles of quasi-particles and particles
90
3.4
Applications of quasi-linear theory to bump-on-tail
instability
92
3.4.1
Bump-on-tail instability
92
3.4.2
Zeldovich theorem
93
3.4.3
Stationary states
95
3.4.4
Selection of stationary state
95
3.5
Application of quasi-linear theory to drift waves
99
3.5.1
Geometry and drift waves
99
3.5.2
Quasi-linear equations for drift wave turbulence
102
3.5.3
Saturation via a quasi-linear mechanism
104
3.6
Application of quasi-linear theory to ion mixing mode
105
3.7
Nonlinear Landau damping
108
3.8
Kubo
number and trapping 111
4
Nonlinear wave-particle interaction
114
4.1
Prologue and overview
114
4.2
Resonance broadening theory
117
4.2.1
Approach via resonance broadening theory
117
4.2.2
Application to various decorrelation processes
124
4.2.3
Influence of resonance broadening on mean evolution
128
4.3
Renormalization in
Vlasov
turbulence I:
Vlasov
response
function
130
4.3.1
Issues in renormalization in
Vlasov
turbulence
130
4.3.2
One-dimensional electron plasmas
131
4.4
Renormalization in
Vlasov
turbulence II: drift wave turbulence
135
4.4.1
Kinetic description of drift wave fluctuations
135
4.4.2
Coherent nonlinear effect via resonance broadening
theory
136
4.4.3
Conservation revisited
137
4.4.4
Conservative formulations
139
4.4.5
Physics content and predictions
142
Contents
vii
5
Kinetics of nonlinear wave-wave interaction
150
5.1
Introduction and overview
150
5.1.1
Central issues and scope
150
5.1.2
Hierarchical progression in discussion
151
5.2
The
integrable
dynamics of three coupled modes
154
5.2.1
Free asymmetric top (FAT)
154
5.2.2
Geometrical construction of three coupled modes
155
5.2.3
Manley-Rowe relation
158
5.2.4
Decay instability
161
5.2.5
Example
-
drift-Rossby waves
162
5.2.6
Example
-
unstable modes in a family of drift waves
165
5.3
The physical kinetics of wave turbulence
166
5.3.1
Key concepts
166
5.3.2
Structure of a wave kinetic equation
169
5.3.3
Collision integral
173
5.3.4
Application to drift-Rossby wave
180
5.3.5
Issues to be considered
185
5.4
The scaling theory of local wave cascades
186
5.4.1
Basic ideas
186
5.4.2
Gravity waves
191
5.5
Non-local interaction in wave turbulence
195
5.5.1
Elements in disparate scale interaction
195
5.5.2
Effects of large/meso scale modes on micro fluctuations
198
5.5.3
Induced diffusion equation for internal waves
199
5.5.4
Parametric interactions revisited
203
6
Closure theory
208
6.1
Concepts in closure
208
6.1.1
Issues in closure theory
210
6.1.2
Illustration: the random oscillator
212
6.1.3
Illustration by use of the driven-Burgers/KPZ equation
(1) 216
6.1.4
Illustration by use of the driven-Burgers/KPZ equation
(2) 225
6.1.5
Short summary of elements in closure theory
230
6.1.6
On realizability
231
6.2
Mori-Zwanzig theory and adiabatic elimination
233
6.2.1
Sketch of projection and generalized
Langevin
equation
234
6.2.2
Memory function and most probable path
237
6.3
Langevin
equation formalism and Markovian approximation
244
6.3.1
Langevin
equation approximation
244
6.3.2
Markovian approximation
246
viii Contents
6.4
Closure model for drift waves
247
6.4.1
Hasegawa-Mima equation
247
6.4.2
Application of closure modelling
248
6.4.3
On triad interaction time
253
6.4.4
Spectrum
255
6.4.5
Example of dynamical evolution
-
access to statistical
equilibrium and H-theorem
256
6.5
Closure of kinetic equation
260
6.6
Short note on prospects for closure theory
263
7
Disparate scale interactions
266
7.1
Short overview
266
7.2
Langmuir waves and self-focusing
269
7.2.1
Zakharov equations
269
7.2.2
Subsonic and supersonic limits
273
7.2.3
Subsonic limit
274
7.2.4
Illustration of self-focusing
274
7.2.5
Linear theory of self-focusing
276
7.3
Langmuir wave turbulence
277
7.3.1
Action density
278
7.3.2
Disparate scale interaction between Langmuir turbulence
and acoustic turbulence
278
7.3.3
Evolution of the Langmuir wave action density
281
7.3.4
Response of distribution of quasi-particles
283
7.3.5
Growth rate of modulation of plasma waves
286
7.3.6
Trapping of quasi-particles
287
7.3.7
Saturation of modulational instability
289
7.4
Collapse of Langmuir turbulence
291
7.4.1
Problem definition
291
7.4.2
Adiabatic Zakharov equation
293
7.4.3
Collapse of plasma waves with spherical symmetry
293
7.4.4
Note on cascade versus collapse
297
8
Cascades, structures and transport in phase space turbulence
299
8.1
Motivation: basic concepts of phase space turbulence
299
8.1.1
Issues in phase space turbulence
299
8.1.2
Granulation
-
what and why
305
8.2
Statistical theory of phase space turbulence
314
8.2.1
Structure of the theory
314
8.2.2
Physics of production and relaxation
318
Contents ix
8.2.3
Physics of relative dispersion in
Vlasov
turbulence
329
8.3
Physics of relaxation and turbulent states with granulation
340
8.4
Phase space structures
-
a look ahead
347
9
MHD
turbulence
348
9.1
Introduction to
MHD
turbulence
348
9.2
Towards a scaling theory of incompressible
MHD
turbulence
350
9.2.1
Basic elements: waves and eddies in
MHD
turbulence
350
9.2.2
Cross-helicity and
Alfvén
wave interaction
351
9.2.3
Heuristic discussion of
Alfvén
waves and cross-helicity
353
9.2.4
MHD
turbulence spectrum (I)
355
9.2.5
MHD
turbulence spectrum (II)
357
9.2.6
An overview of the
MHD
turbulence spectrum
359
9.3
Nonlinear
Alfvén
waves: compressibility, steepening
and disparate-scale interaction
362
9.3.1
Effect of small but finite compressibility
362
9.3.2
A short note, for perspective
366
9.4
Turbulent diffusion of magnetic fields: a first step in mean
field electrodynamics
366
9.4.1
A short overview of issues
366
9.4.2
Flux diffusion in a two-dimensional system: model
and concepts
367
9.4.3
Mean field electrodynamics for (A) in a two-dimensional
system
370
9.4.4
Turbulent diffusion of flux and field in a three-dimensional
system
380
9.4.5
Discussion and conclusion for turbulent diffusion
of a magnetic field
384
Appendix
1
Charney-Hasegawa-Mima equation
385
Appendix
2
Nomenclature
398
References
407
Index
415
This three-volume series presents the ideas, models and approaches
essential to understanding plasma dynamics and self-organization
for researchers and graduate students in plasma physics, controlled
fusion and related fields such as plasma astrophysics.
volume
1
develops the physical kinetics of plasma turbulence
through a focus on quasi-particle models and dynamics, it discusses
the essential physics concepts and theoretical methods for describing
weak and strong fluid and phase space turbulence in plasma systems
far from equilibrium. The book connects the traditionally plasma
topic of weak or wave turbulence theory to more familiar fluid
turbulence theory, and extends both to the realm of coll ¡sionless
phase space turbulence. This gives readers a deeper understanding
of these related fields, and buildsafoundation for future applications
to multi-scale processes of self-organization in
tokamaks
and other
confined plasmas. This book emphasizes the conceptual foundations
and physical intuition underpinnings of plasma turbulence theory.
PATRICK H. diamond isaProfessor of Physics and Distinguished
Professor atthe
centerfor
Astrophysics and Space sciences and the
Department of Physics atthe university of California at San Diego, USA.
SANAE-I. ITOH is a Distinguished
Professorat
the Research institute
for Applied Mechanics at Kyushu University, japan.
KIMITAKA ITOH is a Fellow and
Professorat
the National institute
for Fusion Science, Japan.
All three authors have extensive experience in turbulence theory
and plasma physics.
|
| any_adam_object | 1 |
| author | Diamond, Patrick H. Itō, Sanae-I. 1952- Itoh, Kimitaka |
| author_GND | (DE-588)141720778 (DE-588)111972485 |
| author_facet | Diamond, Patrick H. Itō, Sanae-I. 1952- Itoh, Kimitaka |
| author_role | aut aut aut |
| author_sort | Diamond, Patrick H. |
| author_variant | p h d ph phd s i i sii k i ki |
| building | Verbundindex |
| bvnumber | BV036053044 |
| classification_rvk | UR 8000 |
| ctrlnum | (OCoLC)633817299 (DE-599)BVBBV036053044 |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01672nam a2200361 cc4500</leader><controlfield tag="001">BV036053044</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140911 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">100226s2010 xxuad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521869201</subfield><subfield code="9">978-0-521-86920-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)633817299</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV036053044</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UR 8000</subfield><subfield code="0">(DE-625)146642:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Diamond, Patrick H.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)141720778</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Modern plasma physics</subfield><subfield code="n">1</subfield><subfield code="p">Physical kinetics of turbulent plasmas</subfield><subfield code="c">Patrick H. Diamond ; Sanae-I. Itoh ; Kimitaka Itoh</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 417 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Itō, Sanae-I.</subfield><subfield code="d">1952-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111972485</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Itoh, Kimitaka</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV036053018</subfield><subfield code="g">1</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-018944686</subfield></datafield></record></collection> |
| id | DE-604.BV036053044 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T14:05:43Z |
| institution | BVB |
| isbn | 9780521869201 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018944686 |
| oclc_num | 633817299 |
| open_access_boolean | |
| owner | DE-20 DE-19 DE-BY-UBM DE-703 DE-188 |
| owner_facet | DE-20 DE-19 DE-BY-UBM DE-703 DE-188 |
| physical | XV, 417 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spellingShingle | Diamond, Patrick H. Itō, Sanae-I. 1952- Itoh, Kimitaka Modern plasma physics |
| title | Modern plasma physics |
| title_auth | Modern plasma physics |
| title_exact_search | Modern plasma physics |
| title_full | Modern plasma physics 1 Physical kinetics of turbulent plasmas Patrick H. Diamond ; Sanae-I. Itoh ; Kimitaka Itoh |
| title_fullStr | Modern plasma physics 1 Physical kinetics of turbulent plasmas Patrick H. Diamond ; Sanae-I. Itoh ; Kimitaka Itoh |
| title_full_unstemmed | Modern plasma physics 1 Physical kinetics of turbulent plasmas Patrick H. Diamond ; Sanae-I. Itoh ; Kimitaka Itoh |
| title_short | Modern plasma physics |
| title_sort | modern plasma physics physical kinetics of turbulent plasmas |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018944686&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV036053018 |
| work_keys_str_mv | AT diamondpatrickh modernplasmaphysics1 AT itosanaei modernplasmaphysics1 AT itohkimitaka modernplasmaphysics1 |