Nonlinear physics of plasmas:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
|
| Series: | Springer series on atomic, optical, and plasma physics
62 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XVIII, 533 S. Ill., graph. Darst. 25 cm |
| ISBN: | 9783642146930 |
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MARC
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| 100 | 1 | |a Kōno, Mitsuo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear physics of plasmas |c Mitsuo Kono ; Miloš M. Škorić |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2010 | |
| 300 | |a XVIII, 533 S. |b Ill., graph. Darst. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Springer series on atomic, optical, and plasma physics |v 62 | |
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Record in the Search Index
| _version_ | 1805095604422967296 |
|---|---|
| adam_text |
CONTENTS PART I FUNDAMENTALS OF PLASMA PHYSICS 1 BASIC PROPERTIES OF
HIGH TEMPERATURE PLASMAS 3 1. 1 IONIZATION EQUILIBRIUM 4 1.2 PLASMA
TEMPERATURE 5 1.3 COLLISION FREQUENCY 6 1.4 CONDITIONS FOR HIGH
TEMPERATURE PLASMAS 7 1.5 DEBYE SCREENING 9 1.6 PLASMA DIAMAGNETISM 10
1.7 SINGLE PARTICLE MOTIONS 11 1.7.1 GUIDING CENTER DRIFTS 12 1.7.2
GRAVITATIONAL DRIFT 14 1.7.3 MAGNETIC MIRRORS 14 1.8 COLLECTIVE AND
INDIVIDUAL MOTIONS 16 1.9 WAVE-PARTICLE RESONANT INTERACTION 21 1.9.1
LANDAU DAMPING 21 1.9.2 KINETIC INSTABILITY 22 1.10 DISPERSION AND WAVE
SPREADING 22 1.11 NONLINEARITY AND WAVE STEEPENING 23 1.12 COMPLEXITY IN
PLASMAS 24 2 THE KINETIC THEORY OF PLASMAS 25 2.1 KLIMONTOVICH EQUATION
AND VLASOV EQUATION 26 2.2 LINEAR ELECTROSTATIC WAVE WITHOUT EXTERNAL
MAGNETIC FIELD 29 2.3 LANDAU DAMPING 31 2.4 LINEAR ELECTROSTATIC WAVE
WITH EXTERNAL MAGNETIC FIELD 33 2.5 PLASMA WAVE ECHO 35 2.6 VAN KAMPEN
MODE 36 2.7 KINETIC INSTABILITY AND QUASI-LINEAR THEORY 41 2.8 DRIFT
KINETIC THEORY 44 2.9 GYROKINETIC THEORY 48 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/1004070748 DIGITALISIERT DURCH XII
CONTENTS 3 THE FLUID THEORY OF PLASMAS 57 3.1 THE FLUID EQUATIONS FOR
PLASMAS 57 3.2 COLLISIONAL TRANSPORT IN PLASMAS 61 3.2.1 COLLISION
INTEGRAL 61 3.2.2 THE LANGEVIN EQUATION 62 3.2.3 THE
FLUCTUATION-DISSIPATION THEOREM 63 3.2.4 DIFFUSION AND MOBILITY 64 3.2.5
THE EINSTEIN RELATION 66 3.2.6 AMBIPOLAR DIFFUSION 68 3.3 FLUIDDRIFTS 68
3.3.1 CROSS MAGNETIC FIELD DRIFTS 68 3.3.2 COLLISIONAL CROSS MAGNETIC
FIELD DRIFTS 69 3.4 MAGNETOHYDRODYNAMICS 71 3.5 FROZEN-IN AND DIFFUSION
OF MAGNETIC FIELD LINE 72 3.5.1 FROZEN-IN FIELD LINE 72 3.5.2 DIFFUSION
OF MAGNETIC FIELD LINES 73 3.6 MHD EQUILIBRIUM 74 3.6.1 EQUILIBRIUM FOR
PLASMA COLUMN 74 3.6.2 SIMPLE TORUS 78 3.6.3 MAGNETIC SURFACE 79 3.6.4
GRAD-SHAFRANOV EQUATION 79 3.7 REDUCED MHD EQUATIONS 82 3.7.1 TOROIDAL
PLASMA 83 3.7.2 FLUTE INSTABILITY 84 3.7.3 TEARING MODE INSTABILITY 84
3.7.4 BALLOONING MODE INSTABILITY 86 4 WAVES IN PLASMAS 89 4.1
ELECTROSTATIC WAVES 89 4.1.1 WAVES WITHOUT AN EXTERNAL MAGNETIC FIELD 89
4.1.2 WAVES WITH AN EXTERNAL MAGNETIC FIELD B O 91 4.2 ELECTROMAGNETIC
WAVES 94 4.2.1 WAVES WITHOUT AN EXTERNAL MAGNETIC FIELD 94 4.2.2 WAVES
WITH AN EXTERNAL MAGNETIC FIELD B O 95 4.3 MHD WAVE 96 4.3. CONTENTS XUEI
PART II NONLINEAR THEORY OF PLASMAS 5 NONLINEAR INTERACTIONS IN PLASMAS
113 5.1 NONLINEAR WAVE EQUATION 114 5.2 RESONANT THREE WAVE INTERACTION
116 5.2.1 PARAMETRIC INSTABILITY 120 5.2.2 RESONANT DECAY INTERACTION
121 5.2.3 RESONANT EXPLOSIVE INTERACTION 123 5.2.4 CHAOS IN RESONANT
THREE-WAVE INTERACTION WITH DISSIPATION AND FREQUENCY MISMATCH 124 5.2.5
COUPLED SOLITONS IN RESONANT THREE-WAVE INTERACTION 127 5.2.6
SPATIO-TEMPORAL EVOLUTION IN THREE WAVE RESONANT INTERACTION 129 5.3
SELF-INTERACTION AND MODULATION INSTABILITY 130 5.4 NONLINEAR
WAVE-PARTICLE INTERACTION 133 5.4.1 NONLINEAR LANDAU DAMPING 133 5.4.2
PONDEROMOTIVE POTENTIAL FORCE AND MAGNETIZATION 135 5.5 WEAK TURBULENCE
THEORY 140 5.6 KINETIC THEORY FOR WAVES AS QUASI-PARTICLES 145 5.7
MODULATION INSTABILITY OF PLASMON GAS 146 6 SOLITONS IN PLASMAS 151 6.1
ION ACOUSTIC WAVES AND K-DV EQUATION 152 6.1.1 REDUCTIVE PERTURBATION
THEORY AND K-DV EQUATION 153 6.1.2 KINETIC THEORY DERIVATION OF K-DV
EQUATION 154 6.1.3 STATIONARY SOLUTIONS OF K-DV EQUATION 156 6.1.4
SAGDEEV POTENTIAL 156 6.1.5 FERMI-PASTA-ULAM PROBLEM 158 6.1.6 K-DV
EQUATION IN THE CONTINUUM LIMIT OF FPU PROBLEM AND SOLITONS 159 6.2
LANGMUIR WAVES AND ENVELOPE SOLITONS 161 6.2.1 LANGMUIR WAVES AND
NONLINEAR SCHROEDINGER EQUATION . 161 6.2.2 MODULATION INSTABILITY OF
FINITE AMPLITUDE LANGMUI XIV CONTENTS 6.5.3 NUMERICAL SOLUTIONS 179
6.5.4 K-DV APPROXIMATION FOR SMALL AMPLITUDE NONLINEAR MODES 181 6.5.5
NONLINEAR EXPLOSION MODES 182 6.5.6 BEAM REFLECTION AND SOLITON EMISSION
184 6.6 SOLITON-LIKE EXCITATIONS IN LINEARLY UNSTABLE PLASMAS 190 6.6.1
BASIC EQUATIONS FOR LONG WAVE BUNEMAN INSTABILITY 191 6.6.2 PULSATING
SOLITONS 193 6.6.3 ORDINARY SOLITONS 194 6.6.4 TEMPORALLY LOCALIZED AND
SPATIALLY PERIODIC SOLITONS 195 7 VORTICAL MOTIONS IN PLASMAS 197 7.1
TWO DIMENSIONAL VORTICES 199 7.2 POINT VORTEX 202 7.3 VORTICAL MOTIONS
IN PLASMAS 205 7.3.1 DRIFTS FOR DRIVING VORTICAL MOTIONS 205 7.3.2
VORTICES IN ELECTRON PLASMAS 207 7.3.3 CONVECTIVE CELLS 209 7.3.4 DRIFT
WAVE VORTICES 210 7.3.5 PARTICLE TRANSPORT DUE TO DRIFT WAVE VORTICES
214 7.3.6 ION HEAT TRANSPORT DUE TO DRIFT WAVE VORTICES 215 7.3.7 ZONAL
FLOW 216 7.3.8 SELF-ORGANIZATION OF MONOPOLE VORTICES IN TEMPERATURE
INHOMOGENEITY 218 7.4 COLLISIONAL DRIFT WAVE INSTABILITY AND FORMATION
OF DIPOLE VORTICES 221 7.4.1 POINT VORTEX DESCRIPTION FOR DRIFT WAVE
VORTICES 229 7.4.2 KINETIC THEORY OF VORTEX DIFFUSION 236 7.5 VORTEX
COLLAPSE REVISITED 240 7.5.1 VORTEX COLLAPSE 240 7.5.2 BOOMERANG
INTERACTION OF THREE VORTICES 243 7.6 SPIRAL STRUCTURES IN MAGNETIZED
ROTATING PLASMAS 246 8 CHAOS IN PLASMAS 25 CONTENTS XV 8.4 CHAOS IN
DISSIPATIVE SYSTEMS 267 8.4.1 ATTRACTORS AND STRANGE ATTRACTORS 267
8.4.2 BIFURCATION THEORY 268 8.4.3 PERIOD DOUBLING ROUTE TO CHAOS:
LOGISTIC MAP 272 8.5 FRACTAL STRUCTURE 276 8.6 LYAPUNOV EXPONENTS 277
8.7 DIMENSION OF ATTRACTOR 278 8.8 CORRELATION DIMENSION 279 8.9
CONSTRUCTION OF ATTRACTOR WITH OBSERVED SIGNAL 279 8.10 INTERMITTENT
CHAOS 281 8.10.1 TYPE I INTERMITTENCY 282 8.10.2 TYPE II INTERMITTENCY
282 8.10.3 TYPE III INTERMITTENCY 283 8.11 CHAOS IN PLASMAS 284 8.11.1
STOCHASTIC WEB 284 8.11.2 CHAOS OF PARTICLE MOTION IN A MAGNETIC MIRROR
FIELD 287 8.11.3 CHAOS IN A CURRENT-CARRYING ION SHEATH 292 8.11.4 CHAOS
OF MAGNETIC FIELD LINES 296 8.11.5 ANOMALOUS TRANSPORT IN TOKAMAK AND
TOKAMAP 298 8.11.6 PONDEROMOTIVE FORCE AT THE ONSET OF CHAOS 299 9
PONDEROMOTIVE POTENTIAL AND MAGNETIZATION 305 9.1 HAMILTONIAN
FORMULATION OF PONDEROMOTIVE INTERACTIONS IN A VLASOV PLASMA 305 9.2 THE
HYDRODYNAMICS OF PONDEROMOTIVE INTERACTIONS IN A COLLISIONLESS PLASMA
311 9.3 SPONTANEOUS GENERATION OF MAGNETOSTATIC FIELDS 316 9.3.1 COUPLED
MODE EQUATIONS 317 9.3.2 PARAMETRIC INSTABILITY ANALYSIS 317 PART III
STRUCTURES IN STRONG PLASMA TURBULENCE 10 STRONG LANGMUIR TURBULENCE 323
10.1 INTRODUCTION 323 10.2 DERIVATION OF THE GENERALIZED ZAKHAROV
EQUATIONS 324 10. CONTENTS 11.1.5 NONLINEAR STAGE OF SOLITON INSTABILITY
347 11.1.6 SELF-SIMILARITY AND COLLAPSE REGIMES 349 11.2 VIRIAL THEORY
OF WAVE COLLAPSE 354 11.3 HIERARCHY OF COLLAPSE REGIMES IN A MAGNETIZED
PLASMA 356 11.3.1 INTRODUCTION 357 11.3.2 MODEL EQUATION 357 [1.3.3
NONEXISTENCE OF THREE-DIMENSIONAL SOLITONS 359 11.3.4 NECESSARY
CONDITION FOR WAVE COLLAPSE 361 11.3.5 CLASSIFICATION OF WAVE COLLAPSE
REGIMES 363 11.4 WEAK AND STRONG LANGMUIR COLLAPSE 365 11.4.1
PRELIMINARIES 366 11.4.2 NONLINEAR MODEL EQUATIONS 366 [ 1.4.3
SIMULATION RESULTS AND DISCUSSIONS 368 12 SPATIOTEMPORAL COMPLEXITY IN
PLASMAS 37 1 12.1 SPATIOTEMPORAL EFFECTS IN THREE-WAVE INTERACTION 371
12.1.1 CONVECTIVE AND ABSOLUTE INSTABILITY 372 12.1.2 SPACE-ONLY PROBLEM
IN THREE WAVE INTERACTION 374 12.1.3 SPATIOTEMPORAL EVOLUTION IN
THREE-WAVE INTERACTION 376 12.2 COMPLEXITY IN LASER PLASMA INSTABILITIES
379 12.2.1 INTRODUCTION TO STIMULATED RAMAN SCATTERING 379 12.2.2
NONLINEAR SATURATION OF SRS 381 12.2.3 BREAK-UP OF MANLEY-ROWE
INVARIANTS AND NONSTATIONARY SRS 384 12.2.4 BIFURCATIONS AND ROUTE TO
LOW-DIMENSIONAL CHAOS 384 12.2.5 COMPLEXITY OF SPATIOTEMPORAL WAVE
PATTERNS 388 12.2.6 QUANTITIVE SIGNATURES OF SPATIOTEMPORAL REGIMES 391
12.2.7 TRANSITION FROM SPATIOTEMPORAL INTERMITTENCY TO SPATIOTEMPORAL
CHAOS 394 12.2.8 SUMMARY 397 12. CONTENTS XVII 13.2 COMPUTER SIMULATIONS
OF RELATIVISTIC PLASMAS 426 13.2.1 PARTICLE-IN-CELL SIMULATIONS 427 13.3
RELATIVISTIC ELECTROMAGNETIC SOLITONS 428 13.3.1 DYNAMICAL EQUATIONS 429
13.3.2 RELATIVISTIC SOLITON STABILITY 432 13.3.3 SOLITON DYNAMICS 434
13.3.4 STRONGLY-RELATIVISTIC SOLITONS 434 13.4 STIMULATED RAMAN CASCADE
INTO PHOTON CONDENSATION 438 13.4.1 INTRODUCTION 438 13.4.2 RELATIVISTIC
FLUID-MAXWELL SIMULATION 441 13.4.3 PARTICLE SIMULATIONS 445 13.5
RELATIVISTIC EM SOLITONS IN A LOW DENSITY PLASMA 454 13.5.1 INTRODUCTION
455 13.5.2 RELATIVISTIC EM SOLITONS 455 13.6 STIMULATED ELECTRON
ACOUSTIC SCATTERING 461 13.6.1 THE ELECTRON ACOUSTIC WAVES 462 13.6.2
STIMULATED RAMAN AND ACOUSTIC WAVE SCATTERING 462 13.6.3 SEAS MODEL 464
13.6.4 SIMULATIONS OF SEAS 466 13.7 TRAPPED SEAS, EM SOLITON AND
ION-VORTICES IN SUBCRITICAL PLASMAS 468 13.7.1 INTRODUCTION 469 13.7.2
STIMULATED TRAPPED ELECTRON ACOUSTIC WAVE SCATTERING . .470 13.7.3
ELECTROMAGNETIC SOLITON AND ION-VORTICES 473 PART IV MULTISCALE PLASMA
INTERACTIONS 14 MULTIFRACTAL CHARACTERIZATION OF PLASMA EDGE TURBULENCE
481 14. 1 INTRODUCTION 481 14.2 EDGE TURBULENCE DATASETS 482 14.3
QUANTIFICATION OF LONG-RANGE DEPENDENCE 482 14.3.1 WAVELET TRANSFORM OF
SCALING PROCESSES 485 14.3.2 LOG-SCALE DIAGRAMS OF TURBULENT DATASETS
486 14.3. XVIII CONTENTS 15 MULTI-SCALE MODELLING OF NONLINEAR PLASMAS
509 15.1 BASICS ON MULTI-SCALE MODELLING 509 15.2 MULTI-SCALE PLASMA
MODELS 510 15.3 EQUATION-FREE MACRO-PROJECTIVE INTEGRATION METHOD 512
15.4 THE NONLINEAR ION-SOUND WAVE 514 15.5 ELECTROSTATIC
PARTICLE-IN-CELL CODE 514 15.6 PRIMAL MACRO-PROJECTIVE SIMULATION METHOD
515 REFERENCES 519 INDEX 531 |
| any_adam_object | 1 |
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| author_facet | Kōno, Mitsuo Škorić, Miloš M. |
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| indexdate | 2024-07-20T11:01:55Z |
| institution | BVB |
| isbn | 9783642146930 |
| language | English |
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| physical | XVIII, 533 S. Ill., graph. Darst. 25 cm |
| publishDate | 2010 |
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| publisher | Springer |
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| series | Springer series on atomic, optical, and plasma physics |
| series2 | Springer series on atomic, optical, and plasma physics |
| spelling | Kōno, Mitsuo Verfasser aut Nonlinear physics of plasmas Mitsuo Kono ; Miloš M. Škorić Berlin [u.a.] Springer 2010 XVIII, 533 S. Ill., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Springer series on atomic, optical, and plasma physics 62 Literaturangaben Plasmaphysik (DE-588)4046259-6 gnd rswk-swf Plasmaphysik (DE-588)4046259-6 s DE-604 Škorić, Miloš M. Verfasser aut Springer series on atomic, optical, and plasma physics 62 (DE-604)BV013270105 62 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3499261&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=021199460&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kōno, Mitsuo Škorić, Miloš M. Nonlinear physics of plasmas Springer series on atomic, optical, and plasma physics Plasmaphysik (DE-588)4046259-6 gnd |
| subject_GND | (DE-588)4046259-6 |
| title | Nonlinear physics of plasmas |
| title_auth | Nonlinear physics of plasmas |
| title_exact_search | Nonlinear physics of plasmas |
| title_full | Nonlinear physics of plasmas Mitsuo Kono ; Miloš M. Škorić |
| title_fullStr | Nonlinear physics of plasmas Mitsuo Kono ; Miloš M. Škorić |
| title_full_unstemmed | Nonlinear physics of plasmas Mitsuo Kono ; Miloš M. Škorić |
| title_short | Nonlinear physics of plasmas |
| title_sort | nonlinear physics of plasmas |
| topic | Plasmaphysik (DE-588)4046259-6 gnd |
| topic_facet | Plasmaphysik |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3499261&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=021199460&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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