High temperature plasmas: theory and mathematical tools for laser and fusion plasmas
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XII, 629 S. graph. Darst. |
| ISBN: | 9783527410415 9783527638116 |
Internformat
MARC
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| 020 | |a 9783527638116 |c oBook |9 978-3-527-63811-6 | ||
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| 245 | 1 | 0 | |a High temperature plasmas |b theory and mathematical tools for laser and fusion plasmas |c Karl-Heinz Spatschek |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2012 | |
| 300 | |a XII, 629 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3718086&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
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Datensatz im Suchindex
| _version_ | 1805145105504403456 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
PREFACE XI
1 INTRODUCTION 1
1.1 QUASINEUTRALITY AND DEBYE SHIELDING 2 1.2 DEGREE OF IONIZATION 6
1.2.1 THE SAHA EQUATION 6 1.2.2 THOMSON CROSS SECTION AND RATE EQUATION
10 1.2.3 THE CORONA FORMULA 12 1.3 CHARACTERISTIC PARAMETERS 14 1.3.1
TYPICAL PARAMETERS OF (MAGNETIC) FUSION PLASMAS 17 1.3.2 PARAMETERS OF
THE SUN 19 1.4 INDIVIDUAL AND COLLECTIVE EFFECTS 20
1.4.1 THE PLASMA FREQUENCY 21 1.4.2 GENERAL REMARK ON INDIVIDUAL
COLLISIONS 22 1.4.3 COLLISION FREQUENCIES FOR MOMENTUM AND ENERGY
TRANSFER 24 1.4.4 FRICTION FORCE IN THERMAL PLASMAS 27 1.5 FUSION
PROCESSES 32
1.5.1 FUSION PROCESSES IN BURNING STARS 34
2 SINGLE PARTICLE MOTION 41
2.1 HEURISTIC APPROACHES TO GUIDING CENTER MOTION 41 2.2 SYSTEMATIC
AVERAGING 48 2.2.1 SYSTEMATIC AVERAGING OVER FAST GYRO-MOTION 48 2.2.2
PSEUDOCANONICAL TRANSFORMATIONS 52 2.2.3 MAGNETIC MOMENT AS THE FIRST
ADIABATIC INVARIANT 58
2.2.4 ON THE SECOND ADIABATIC INVARIANT 60 2.2.5 ON THE THIRD ADIABATIC
INVARIANT 63 2.2.6 SELECTED APPLICATIONS 64 2.3 MOTION OF A SINGLE
PARTICLE (ELECTRON) IN AN ELECTROMAGNETIC WAVE 67 2.4 LAGEVIN APPROACH
74
3 PLASMA IN THERMODYNAMIC EQUILIBRIUM 83 3.1 BASIC APPROACH 83
3.2 A HEURISTIC DERIVATION OF THE MODIFIED EQUATION OF STATE 88
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1011200481
DIGITALISIERT DURCH
IMAGE 2
VI I CONTENTS
3.3 THE HOLTSMARK DISTRIBUTION FOR ELECTRIC MICROFIELDS 90
4 KINETIC DESCRIPTION OF NONEQUILIBRIUM PLASMAS 95 4.1 HISTORICAL
REMARKS ON WELL-KNOWN KINETIC EQUATIONS 95 4.1.1 THE FOKKER-PLANCK
EQUATION 95 4.1.2 THE BOLTZMANN EQUATION 97 4.1.3 THE BOLTZMANN
H-THEOREM 102
4.1.4 THE BOLTZMANN ENTROPY 103 4.1.5 TRANSITION TO EQUILIBRIUM AND
MAXWELLIAN 104 4.2 BBGKY HIERARCHY 105 4.3 VLASOV EQUATION AND LANDAU
DAMPING 112
4.4 Z-FUNCTION AND DISPERSIVE PROPERTIES OF A COLLISIONLESS AND
UNMAGNETIZED PLASMA 124 4.5 LANDAU-FOKKER-PLANCK EQUATION 133 4.6
KINETIC DESCRIPTION OF STRONGLY MAGNETIZED PLASMAS 145
4.6.1 THE DRIFT-KINETIC EQUATION 145 4.6.2 THE GYROKINETIC APPROACH 147
5 FLUID DESCRIPTION 149
5.1 MOMENTSAND HIERARCHY OF MOMENT EQUATIONS 149 5.2 TRUNCATION OF THE
CORRESPONDING HIERARCHY IN THE CASE OF THE BOLTZMANN EQUATION 154 5.2.1
HIERARCHICAL FORM OF THE FIRST MOMENT EQUATIONS
FOR THE BOLTZMANN EQUATION 154 5.2.2 TRUNCATION OF THE HIERARCHY,
TRANSPORT COEFFICIENTS, AND THE EULER EQUATION 155 5.2.3 EQUATION OF
STATE 156 5.2.4 SOUND WAVE DISPERSION FROM THE EULER EQUATIONS 156 5.2.5
NEXT ORDER APPROXIMATION AND NAVIER-STOKES EQUATIONS 157 5.2.6
SIMPLIFIED SOLUTION WITH A KROOK COLLISION TERM 158 5.3 GENERAL OUTLINE
AND MODELS FOR PLASMAS 160
5.3.1 GENERAL STARTING POINT 160 5.3.2 SIMPLE TWO-FLUID MODEL IN
UNMAGNETIZED PLASMA 162 5.3.3 DRIFT MODEL 166 5.3.4 BRAGINSKII EQUATIONS
168
5.4 MHD MODEL 169
5.4.1 MHD ORDERING 171 5.5 SIMPLE MHD APPLICATIONS 177 5.5.1 FROZEN-IN
MAGNETIC FIELD LINES 177 5.5.2 MHD EQUILIBRIA 177 5.5.3 ALFVEN WAVES 182
5.5.4 ENERGY CONSERVATION IN IDEAL MHD 284
6 PRINCIPLES OF LINEAR AND STOCHASTIC TRANSPORT 185 6.1 MOMENTS IN
LINEAR TRANSPORT THEORY 186 6.2 THE HYDRODYNAMIC REGIME IN LINEAR
TRANSPORT THEORY 194
IMAGE 3
CONTENTS I VII
6.3 SUMMARY OF LINEAR TRANSPORT COEFFICIENTS 197
6.4 NONLINEAR TRANSPORT PHENOMENOLOGY 202 6.4.1 FLUCTUATION SPECTRA AND
TRANSPORT 203 6.5 SIMPLE MODELS IN STOCHASTIC TRANSPORT THEORY 206 6.5.1
DESCRIPTION OF STOCHASTIC (MAGNETIC) FIELDS 209 6.5.2 SYMPLECTIC
MAPPINGS 215 6.5.3 THE STANDARD MAP AS A SIMPLE EXAMPLE
FOR STOCHASTIC FIELD LINE DYNAMICS 217 6.5.4 TOKAMAP AS A TWIST MAP WITH
POLAR AXIS 226 6.6 BASIC STATISTICS FOR MAGNETIC FIELD LINES AND
PERPENDICULAR PARTICLE DIFFUSION 233 6.6.1 CORRELATION FUNCTIONS FOR
MAGNETIC FIELD FLUCTUATIONS 236 6.6.2 ELEMENTARY ESTIMATES OF THE
KOLMOGOROV LENGTH IK 244 6.7 PHENOMENOLOGY OF STOCHASTIC PARTICLE
DIFFUSION THEORY
IN PERPENDICULAR DIRECTION 246 6.7.1 PERPENDICULAR PARTICLE DIFFUSION
248 6.7.2 TEST OF THE DIFFUSION PREDICTIONS WITH THE STANDARD MAP 255
6.7.3 TRAPPING AND PERCOLATION (K 1) 258
6.8 STOCHASTIC THEORY OF THE PARALLEL TEST PARTICLE DIFFUSION
COEFFICIENT 265 6.8.1 FUNDAMENTAL RELATIONS FOR THE PARALLEL DIFFUSION
COEFFICIENT 265 6.8.2 PITCH ANGLE DIFFUSION 272
7 LINEAR WAVES AND INSTABILITIES 283 7.1 WAVES AND INSTABILITIES IN THE
HOMOGENEOUS VLASOV DESCRIPTION 283 7.1.1 THE PENROSE CRITERION AND ITS
COGNATE FORMULATIONS 283 7.1.2 DISPERSION IN HOMOGENEOUS, MAGNETIZED
VLASOV SYSTEMS 289 7.1.3 INSTABILITIES IN HOMOGENEOUS VLASOV SYSTEMS 298
7.2 WAVES AND INSTABILITIES IN INHOMOGENEOUS VLASOV SYSTEMS 305 7.2.1
STATIONARY SOLUTIONS AND A LIAPUNOV STABILITY CRITERION 305 7.2.2
INSTABILITIES IN INHOMOGENEOUS VLASOV SYSTEMS 320 7.3 WAVES AND
INSTABILITIES IN THE MAGNETOHYDRODYNAMIC DESCRIPTION 326 7.3.1
HYDROMAGNETIC VARIATIONAL PRINCIPLE 326 7.3.2 KINK AND SAUSAGE
INSTABILITY 322 7.3.3 INTERCHANGE INSTABILITY 331
8 GENERAL THEORY OF NONLINEAR WAVES AND SOLITONS 339 8.1 HISTORICAL
REMARKS 339
8.1.1 THE WATER-WAVE PARADIGM 342 8.2 THE GENERALIZED KDV EQUATION FOR
ION-ACOUSTIC SOLITONS 352 8.3 ENVELOPE SOLITONS 362
8.3.1 MODULATIONAL INSTABILITY 369 8.3.2 HISTORICAL REMARK ON ENVELOPE
WATER SOLITONS 371 8.3.3 NONLINEAR DISPERSION RELATION AND SCHROEDINGER
EQUATION 374 8.4 NONLINEAR LANGMUIR WAVES 375 8.5 LONGITUDINAL STABILITY
OF GENERALIZED LANGMUIR SOLITONS 386 8.6 TRANSVERSE INSTABILITIES 392
IMAGE 4
VIM I CONTENTS
8.6.1 TRANSVERSE INSTABILITIES OF KDV SOLITONS 391
8.6.2 TRANSVERSE INSTABILITY OF ENVELOPE SOLITONS (NLS) 399 8.7 THE
COLLAPSE PHENOMENON AND THE EXISTENCE OF STABLE 3D SOLITONS 407 8.7.1
THE COLLAPSE PHENOMENON 408 8.7.2 STABLE THREE-DIMENSIONAL ENVELOPE
SOLITONS 409
9 NONLINEAR WAVE ASPECTS IN LASER-MATTER INTERACTION 413 9.1 HISTORY AND
PERSPECTIVES OF LASER-PLASMA INTERACTION 423 9.1.1 AREAS OF RELATIVISTIC
OPTICS 425 9.2 TIME- AND SPACE-DEPENDENT MAXWELL FLUID MODELS 422 9.2.1
FULLY RELATIVISTIC MAXWELL ELECTRON FLUID MODEL 422 9.2.2 FULLY
RELATIVISTIC MAXWELL TWO-FLUID MODEL 423 9.2.3 ID PROPAGATION IN
SPACE-DIRECTION X 424 9.2.4 THE WEAKLY RELATIVISTIC LIMIT 426 9.2.5 THE
WEAKLY RELATIVISTIC ID MAXWELL TWO-FLUID MODEL 432 9.2.6 THE
NONRELATIVISTIC LIMIT 435
9.2.7 ONE-FIELD MODELS 435 9.3 STATIONARY WAVE SOLUTIONS AND THEIR
STABILITY 437 9.3.1 FULLY RELATIVISTIC MAXWELL FLUID SYSTEMS 437 9.3.2
HAMILTONIAN FORMULATION FOR LINEARLY POLARIZED WAVES 442 9.3.3 PLASMA
MOTION IN LINEARLY POLARIZED WAVES 444
9.3.4 INFLUENCE OF MOBILE IONS ON STATIONARY WAVE SOLUTIONS 447 9.3.5
ELECTRON-POSITRON PLASMAS 452 9.3.6 WAVE SOLUTIONS IN WEAKLY
RELATIVISTIC TWO-FIELD MODELS 454 9.3.7 INSTABILITY OF STATIONARY WAVE
SOLUTIONS 456 9.4 PARAMETRIC INSTABILITIES IN THE RELATIVISTIC REGIME
459 9.4.1 STIMULATED RAMAN AND BRILLOUIN SCATTERING IN THE CLASSICAL
REGIME 460 9.4.2 STIMULATED SCATTERING INSTABILITIES IN THE RELATIVISTIC
REGIME 464 9.5 SOLITARY ENVELOPE SOLUTIONS AND THEIR STABILITY 465
9.5.1 THE FARINA-BULANOV MODEL FOR CIRCULARLY POLARIZED SOLITONS 466
9.5.2 LINEARLY POLARIZED SOLITONS OF THE MAXWELL FLUID SYSTEM 472 9.5.3
LONGITUDINAL STABILITY OF SOLITARY ENVELOPE SOLUTIONS 474 9.5.4 SOLITARY
ENVELOPE SOLUTIONS IN HIGHER DIMENSIONS 484
9.6 WAKE FIELD EXCITATION 489 9.6.1 EXCITATION OF QUASISTATIONARY WAKE
FIELDS 489 9.6.2 STRONGLY RELATIVISTIC NONLINEAR ELECTROSTATIC WAKE
FIELDS 496 9.7 BREAKING OF WAKE FIELDS 498
9.7.1 CLASSICAL, NONRELATIVISTIC WAVE-BREAKING ANALYSIS 499 9.7.2
RELATIVISTIC WAVE-BREAKING ANALYSIS 502 9.7.3 NUMERICAL RESULTS FOR
WAVE-BREAKING 520
IMAGE 5
CONTENTS | IX
APPENDIX A UNITS 523
APPENDIX B FOURIER AND LAPLACE TRANSFORMS FOR PEDESTRIANS 527
APPENDIX C THE INVERSE SCATTERING TRANSFORM (1ST) FOR NONLINEAR WAVES
523
APPENDIX D LIE TRANSFORM TECHNIQUES FOR ELIMINATING FAST VARIATIONS 542
APPENDIX E CHOICES OF LOW-DIMENSIONAL BASIS SYSTEMS 553 E.I GALERKIN
APPROXIMATION 553 E.2 KARHUNEN-LOEVE EXPANSION 554
E.3 DETERMINATION OF THE BASIS FUNCTIONS IN PRACTICE 559
APPENDIX F CENTER MANIFOLD THEORY 562
APPENDIX C NEWELL-WHITEHEAD PROCEDURE 572
APPENDIX H LIAPUNOV STABILITY 579
APPENDIX I VARIATIONAL PRINCIPLES 589
APPENDIX J SELF-AD JOINT NESS OF THE OPERATOR /
APPEARING IN HYDROMAGNETIC VARIATIONAL PRINCIPLES 599
REFERENCES 607
INDEX 625 |
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| dewey-ones | 530 - Physics |
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| id | DE-604.BV039557498 |
| illustrated | Illustrated |
| indexdate | 2024-07-21T00:08:42Z |
| institution | BVB |
| isbn | 9783527410415 9783527638116 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024409247 |
| oclc_num | 725142208 |
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| owner_facet | DE-703 DE-11 DE-19 DE-BY-UBM DE-92 DE-20 DE-29T |
| physical | XII, 629 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Wiley-VCH |
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| spelling | Spatschek, Karl-Heinz 1943- Verfasser (DE-588)124964664 aut High temperature plasmas theory and mathematical tools for laser and fusion plasmas Karl-Heinz Spatschek Weinheim Wiley-VCH 2012 XII, 629 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Heißes Plasma (DE-588)4350270-2 gnd rswk-swf Heißes Plasma (DE-588)4350270-2 s DE-604 Erscheint auch als Online-Ausgabe, EPUB 978-3-527-63812-3 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-63814-7 Erscheint auch als Online-Ausgabe, PDF 978-3-527-63813-0 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3718086&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024409247&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Spatschek, Karl-Heinz 1943- High temperature plasmas theory and mathematical tools for laser and fusion plasmas Heißes Plasma (DE-588)4350270-2 gnd |
| subject_GND | (DE-588)4350270-2 |
| title | High temperature plasmas theory and mathematical tools for laser and fusion plasmas |
| title_auth | High temperature plasmas theory and mathematical tools for laser and fusion plasmas |
| title_exact_search | High temperature plasmas theory and mathematical tools for laser and fusion plasmas |
| title_full | High temperature plasmas theory and mathematical tools for laser and fusion plasmas Karl-Heinz Spatschek |
| title_fullStr | High temperature plasmas theory and mathematical tools for laser and fusion plasmas Karl-Heinz Spatschek |
| title_full_unstemmed | High temperature plasmas theory and mathematical tools for laser and fusion plasmas Karl-Heinz Spatschek |
| title_short | High temperature plasmas |
| title_sort | high temperature plasmas theory and mathematical tools for laser and fusion plasmas |
| title_sub | theory and mathematical tools for laser and fusion plasmas |
| topic | Heißes Plasma (DE-588)4350270-2 gnd |
| topic_facet | Heißes Plasma |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3718086&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024409247&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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