Collective modes in inhomogeneous plasma: kinetic and advanced fluid theory
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bristol [u.a.]
Inst. of Physics Publ.
2000
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| Series: | Plasma physics series
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 189 S. graph. Darst. |
| ISBN: | 0750305894 |
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| adam_text | PLASMA PHYSICS SERIES COLLECTIVE MODES IN INHOMOGENEOUS PLASMA KINETIC
AND ADVANCED FLUID THEORY JAN WEILAND CHALMERS UNIVERSITY OF TECHNOLOGY,
GOETEBORG, SWEDEN EURATOM-NFR ASSOCIATION INSTITUTE OF PHYSICS PUBLISHING
BRISTOL AND PHILADELPHIA CONTENTS PREFACE IX 1 INTRODUCTION 1 1.1
COLLECTIVE PERTURBATIONS IN BOUNDED PLASMAS 1 1.2 CONFINEMENT IN FUSION
DEVICES 3 1.3 DISCUSSION 6 2 FLUID EQUATIONS FOR LOW FREQUENCY PHENOMENA
8 2.1 FLUID MOTION PERPENDICULAR TO THE MAGNETIC FIELD 8 2.2
ELECTROMAGNETIC DRIFTS 10 2.3 INTERPRETATION OF DRIFTS 11 2.4
CONSERVATION OF CHARGE DENSITY AND QUASI-NEUTRALITY 13 2.5 SIMPLE
EXAMPLES 15 2.6 THE ENERGY EQUATION 17 2.7 FINITE LARMOR RADIUS EFFECTS
IN A FLUID DESCRIPTION 19 2.7.1 EFFECTS OF TEMPERATURE GRADIENTS 22 2.8
DISCUSSION 23 2.9 EXERCISES 23 3 FLUID ANALYSIS OF LOW FREQUENCY MODES
DRIVEN BY INHOMOGENEITIES 25 3.1 DRIFT WAVES 27 3.1.1 ELEMENTARY PICTURE
OF DRIFT WAVES 27 3.1.2 EFFECTS OF FINITE ION INERTIA 30 3.1.3 DRIFT
INSTABILITY 31 3.1.4 EXCITATION BY ELECTRON-ION COLLISIONS 32 3.2
MHD-TYPE MODES 34 3.2.1 INTERCHANGE MODES 34 3.2.2 THE CONVECTIVE CELL
MODE 36 3.2.3 ELECTROMAGNETIC INTERCHANGE MODES 37 3.2.4 KINK MODES 40
3.2.5 STABILIZATION OF ELECTROSTATIC INTERCHANGE MODES BY PARALLEL
ELECTRON MOTION 41 3.2.6 FLR STABILIZATION OF INTERCHANGE MODES 42 V
CONTENTS 3.2.7 KINETIC ALFVEN WAVES 44 3.2.8 QUASI-LINEAR DIFFUSION 45
3.2.9 CONFINEMENT TIME 48 3.3 DISCUSSION 49 3.4 EXERCISES 49 KINETIC
DESCRIPTION OF LOW FREQUENCY MODES IN INHOMOGENEOUS PLASMA 53 4.1
INTEGRATION ALONG UNPERTURBED ORBITS 53 4.1.1 UNIVERSAL INSTABILITY 59
4.1.2 INTERCHANGE INSTABILITY 61 4.1.3 DRIFT ALFVEN WAVES AND SS
LIMITATION 62 4.1.4 LANDAU DAMPING 64 4.1.5 THE MAGNETIC DRIFT MODE 66
4.2 THE DRIFT KINETIC EQUATION 67 4.3 DIELECTRIC PROPERTIES OF LOW
FREQUENCY VORTEX MODES 68 4.4 FINITE LARMOR RADIUS EFFECTS OBTAINED BY
ORBIT AVERAGING 71 4.5 DISCUSSION 74 4.6 EXERCISES 74 LOW FREQUENCY
MODES IN INHOMOGENEOUS MAGNETIC FIELDS 76 5.1 ANOMALOUS TRANSPORT IN
SYSTEMS WITH INHOMOGENEOUS MAGNETIC FIELDS 76 5.2 TOROIDAL MODE
STRUCTURE 78 5.2.1 CURVATURE RELATIONS 81 5.3 THE INFLUENCE OF MAGNETIC
SHEAR ON DRIFT WAVES 84 5.4 INTERCHANGE PERTURBATIONS ANALYSED BY THE
ENERGY PRINCIPLE METHOD 86 5.5 EIGENVALUE EQUATIONS FOR MHD-TYPE MODES
89 5.5.1 STABILIZATION OF INTERCHANGE MODES BY MAGNETIC SHEAR 89 5.5.2
BALLOONING MODES 92 5.5.3 KINK MODES 95 5.6 THE DRIFT KINETIC EQUATION
101 5.6.1 MOMENT EQUATIONS 104 5.6.2 THE MAGNETIC DRIFT MODE 105 5.6.3
THE TEARING MODE 106 5.7 THE GYROKINETIC EQUATION 106 5.7.1 APPLICATIONS
111 5.8 TRAPPED PARTICLE INSTABILITIES 111 5.9 REACTIVE DRIFT MODES 114
5.9.1 ION TEMPERATURE GRADIENT MODES 115 5.9.2 ELECTRON TEMPERATURE
GRADIENT MODE 118 5.9.3 TRAPPED ELECTRON MODES 119 5.9.4 COMPETITION
BETWEEN INHOMOGENEITIES IN DENSITY AND TEMPERATURE 122 CONTENTS VII 5.10
ADVANCED FLUID MODELS 123 5.10.1 THE DEVELOPMENT OF RESEARCH 123 5.10.2
CLOSURE 126 5.10.3 GYRO-LANDAU FLUID MODELS 128 5.10.4 NONLINEAR KINETIC
FLUID EQUATIONS 128 5.10.5 COMPARISONS WITH NONLINEAR GYROKINETICS 129
5.11 REACTIVE FLUID MODEL FOR STRONG CURVATURE 130 5.11.1 THE TOROIDAL
?7, MODE 130 5.11.2 ELECTRON TRAPPING 133 5.11.3 TRANSPORT 135 5.11.4
NORMALIZATION OF TRANSPORT COEFFICIENTS 137 5.11.5 FINITE LARMOR RADIUS
STABILIZATION 138 5.11.6 THE EIGENVALUE PROBLEM FOR TOROIDAL DRIFT WAVES
139 5.11.7 RECENT TESTS OF THE REACTIVE FLUID MODEL 142 5.12 RESISTIVE
EDGE MODES 143 5.12.1 RESISTIVE BALLOONING MODE 145 5.12.2 TRANSPORT IN
THE ENHANCED CONFINEMENT STATE 147 5.13 DISCUSSION 150 5.14 EXERCISES
150 INSTABILITIES ASSOCIATED WITH FAST PARTICLES IN TOROIDAL CONFINEMENT
SYSTEMS 156 6.1 GENERAL CONSIDERATIONS 156 6.2 THE DEVELOPMENT OF
RESEARCH 157 6.3 DILUTION DUE TO FAST PARTICLES 158 6.4 FISHBONE-TYPE
MODES 159 6.5 TOROIDAL ALFVEN EIGENMODES 160 6.6 DISCUSSION 162
NONLINEAR THEORY 164 7.1 THE ION VORTEX EQUATION 164 7.1.1 THE NONLINEAR
DIELECTRIC 171 7.2 DIFFUSION 172 7.2.1 FOKKER-PLANCK TRANSITION
PROBABILITY 176 7.3 DISCUSSION 177 ANSWERS TO EXERCISES 181 APPENDICES
182 GENERAL REFERENCES 185 INDEX 187
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| indexdate | 2024-07-09T18:47:50Z |
| institution | BVB |
| isbn | 0750305894 |
| language | English |
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| physical | IX, 189 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | Inst. of Physics Publ. |
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| series2 | Plasma physics series |
| spelling | Weiland, Jan B. Verfasser (DE-588)108792366 aut Collective modes in inhomogeneous plasma kinetic and advanced fluid theory Jan Weiland Bristol [u.a.] Inst. of Physics Publ. 2000 IX, 189 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Plasma physics series Magnetohydrodynamics Plasma dynamics Magnetohydrodynamik (DE-588)4130803-7 gnd rswk-swf Plasmadynamik (DE-588)4123952-0 gnd rswk-swf Plasmadynamik (DE-588)4123952-0 s Magnetohydrodynamik (DE-588)4130803-7 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009253688&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weiland, Jan B. Collective modes in inhomogeneous plasma kinetic and advanced fluid theory Magnetohydrodynamics Plasma dynamics Magnetohydrodynamik (DE-588)4130803-7 gnd Plasmadynamik (DE-588)4123952-0 gnd |
| subject_GND | (DE-588)4130803-7 (DE-588)4123952-0 |
| title | Collective modes in inhomogeneous plasma kinetic and advanced fluid theory |
| title_auth | Collective modes in inhomogeneous plasma kinetic and advanced fluid theory |
| title_exact_search | Collective modes in inhomogeneous plasma kinetic and advanced fluid theory |
| title_full | Collective modes in inhomogeneous plasma kinetic and advanced fluid theory Jan Weiland |
| title_fullStr | Collective modes in inhomogeneous plasma kinetic and advanced fluid theory Jan Weiland |
| title_full_unstemmed | Collective modes in inhomogeneous plasma kinetic and advanced fluid theory Jan Weiland |
| title_short | Collective modes in inhomogeneous plasma |
| title_sort | collective modes in inhomogeneous plasma kinetic and advanced fluid theory |
| title_sub | kinetic and advanced fluid theory |
| topic | Magnetohydrodynamics Plasma dynamics Magnetohydrodynamik (DE-588)4130803-7 gnd Plasmadynamik (DE-588)4123952-0 gnd |
| topic_facet | Magnetohydrodynamics Plasma dynamics Magnetohydrodynamik Plasmadynamik |
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