A plasma formulary for physics, technology and astrophysics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Wiley-VCH
2001
|
| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 193 - 198 |
| Physical Description: | XVI, 204 S. graph. Darst. |
| ISBN: | 3527402942 |
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| 100 | 1 | |a Diver, Declan A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A plasma formulary for physics, technology and astrophysics |c Declan A. Diver |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Wiley-VCH |c 2001 | |
| 300 | |a XVI, 204 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | IMAGE 1
DECLAN A. DIVER
A PLASMA FORMULARY
FOR PHYSICS, TECHNOLOGY AND ASTROPHYSICS
)WILEY-VCH BERLIN * WEINHEIM * NEW YORK * CHICHESTER * BRISBANE *
SINGAPORE * TORONTO
IMAGE 2
CONTENTS
PREFACE XV
1 BASIC PHYSICAL DATA 1
1.1 BASIC PHYSICAL UNITS 2
1.1.1 SI UNITS 2
1.1.2 CGS-GAUSSIAN UNITS 3
1.2 MAXWELL S ELECTROMAGNETIC EQUATIONS 3
1.3 SPECIAL RELATIVITY 4
1.4 PHYSICAL CONSTANTS 5
1.5 DIMENSIONAL ANALYSIS 7
1.6 IONIZATION ENERGIES OF GAS-PHASE MOLECULES 9 1.7 CHARACTERISTIC
PARAMETERS FOR TYPICAL PLASMAS 10
2 BASIC PLASMA PARAMETERS 13
2.1 NOTATION 14
2.2 NATURAL TIMESCALES 15
2.2.1 CHARACTERISTIC FREQUENCIES 15
2.2.2 CHARACTERISTIC TIMES 16
2.3 NATURAL SCALELENGTHS 11
2.3.1 DEBYE LENGTH 11
IMAGE 3
VI CONTENTS
2.3.2 MEAN FREE PATH 11
2.3.3 PLASMA SKIN DEPTH 11
2.3-4 LARMOR RADIUS 11
2.4 NATURAL SPEEDS 18
2.4.1 ALFVEN SPEED 18
2.4.2 SOUND SPEED 18
2.5 MISCELLANEOUS PARAMETERS 19
2.5.1 COLLISION CROSS-SECTION 19
2.5.2 DIFFERENTIAL SCATTERING CROSS-SECTION 19 2.5.3 MAGNETIC MOMENT 19
2.5.4 MOBILITY 19
2.6 NON-DIMENSIONAL PARAMETERS 20
2.6.1 DIELECTRIC CONSTANT 20
2.6.2 HARTMANN NUMBER 21
2.6.3 KNUDSEN NUMBER 21
2.6.4 LUNDQUIST NUMBER 21
2.6.5 MACH NUMBER 21
2.6.6 MAGNETIC REYNOLDS NUMBER 21
2.6.1 PLASMA BETA 22
3 DISCHARGE PLASMAS AND ELEMENTARY PROCESSES 23
3.1 NOTATION 24
3.2 PLASMA SHEATH 25
3.2.1 PLANAR SHEATH EQUATION 25
3.2.2 CHILD-LANGMUIR LAW 26
3.2.3 COLLISIONAL SHEATHS 21
3.3 DOUBLE-LAYER 28
3.4 DIFFUSION PARAMETERS 29
3.4.1 FREE DIFFUSION 29
3.4.2 MOBILITY 30
3.4.3 AMBIPOLAR DIFFUSION 30
3.4.4 AMBIPOLAR DIFFUSION IN A MAGNETIC FIELD 32 3.5 IONIZATION 32
3.5.1 TOWNSEND BREAKDOWN 32
3.5.2 ALFVEN IONIZATION 31
3.5.3 SECONDARY ELECTRON EMISSION 31
3.5.4 TOWNSEND BREAKDOWN CRITERION 39
3.5.5 PASCHEN CURVE 39
IMAGE 4
CONTENTS VII
3.6 IONIZATION EQUILIBRIUM 40
3.6.1 LOCAL THERMODYNAMIC EQUILIBRIUM 40
3.6.2 SAHA EQUATION 41
4 RADIATION 43
4-1 NOTATION 44
4-2 RADIATION FROM A MOVING POINT CHARGE ^5
4-2.1 LIENARD-WIECHERT POTENTIALS 45
4-2.2 ELECTRIC AND MAGNETIC FIELDS OF A MOVING CHARGE 4$
4-2.3 POWER RADIATED BY AN ACCELERATING POINT CHARGE 46
4.2.4 FREQUENCY SPECTRUM OF RADIATION FROM AN ACCELERATING CHARGE 50
4-3 CYCLOTRON AND SYNCHROTRON RADIATION 50
4-3.1 SPECTRAL POWER DENSITY 51
4-3.2 POWER IN EACH HARMONIC 52
4.3.3 TOTAL RADIATED POWER 53
4.3.4 PV !* CYCLOTRON EMISSION 53
4-3.5 0 V ~ 1: SYNCHROTRON EMISSION 53
4-4 BREMSSTRAHLUNG 54
4.5 RADIATION SCATTERING 55
4-5.1 THOMSON SCATTERING 56
4-5.2 INCOHERENT THOMSON SCATTERING FROM AN UNMAGNETIZED PLASMA 58
4.5.3 COHERENT THOMSON SCATTERING FROM AN UNMAGNETIZED PLASMA 60
4.5.4 COMPTON SCATTERING 61
4.5.5 KLEIN-NISHINA CROSS-SECTION 61
5 KINETIC THEORY 63
5.1 NOTATION 64
5.2 FUNDAMENTALS 64
5.3 BOLTZMANN EQUATION 65
5.4 MAXWELLIAN DISTRIBUTION 65
5.5 VLASOV DESCRIPTION 61
5.5.1 EQUILIBRIUM SOLUTIONS 61
5.6 COLLISIONAL MODELLING 68
5.6.1 BOLTZMANN COLLISION TERM 68
IMAGE 5
CONTENTS
5.6.2 SIMPLIFIED BOLTZMANN COLLISION TERM 69
5.6.3 FOKKER-PLANCK 69
5.6.4 FOKKER-PLANCK POTENTIALS 10
5.1 DRIVEN SYSTEMS 11
5.1.1 GENERALIZED DISTRIBUTION 11
PLASMA TRANSPORT 15
6.1 NOTATION 16
6.2 BASIC DEFINITIONS 16
6.3 BINARY COLLISIONS 11
6.3.1 ELASTIC COLLISIONS BETWEEN CHARGED PARTICLES 11
6.4 PARTICLE DYNAMICS 80
6.4.I DRIFTS 81
6.4-2 ADIABATIC INVARIANTS 83
6.4-3 MAGNETIC MIRROR 84
6.5 TRANSPORT COEFFICIENTS 85
6.5.1 FULLY IONISED PLASMA, ZERO MAGNETIC FIELD, KROOK OPERATOR 85
6.5.2 LORENTZIAN AND SPITZER CONDUCTIVITY 85
6.5.3 FULLY IONIZED AND MAGNETIZED PLASMA: BRAGINSKII COEFFICIENTS 86
6.5.4 CORRECTIONS TO BRAGINSKII COEFFICIENTS 90 6.5.5 EQUAL MASS PLASMA
TRANSPORT 91
PLASMA WAVES 93
1.1 NOTATION 94
1.2 WAVES IN COLD PLASMAS 95
1.2.1 MODEL EQUATIONS 95
1.2.2 COLD PLASMA VARIABLE DEPENDENCIES 96 1.2.3 DIELECTRIC TENSOR FOR A
COLD MAGNETISED PLASMA 96
1.2.4 GENERAL DISPERSION RELATION 91
1.2.5 EQUAL-MASS COLD PLASMAS 103
1.3 FLUID PLASMAS 103
1.3.1 HYDROMAGNETIC EQUATIONS 104
1.3.2 SINGLE FLUID MED PLASMA 105
1.3.3 VARIABLE DEPENDENCIES IN IDEAL MHD 106 1.3.4 GENERAL DISPERSION
RELATION: IDEAL MHD 101
IMAGE 6
CONTENTS IX
1.4 WAVES IN HOT PLASMAS 109
7.4.I DIELECTRIC FUNCTION FOR AN UNMAGNETIZED PLASMA 109
1.4-2 LANGMUIR WAVES 109
I.4.3 ION-ACOUSTIC WAVES 110
1.4-4 DIELECTRIC TENSOR FOR A HOT PLASMA 111
8 FLOWS 111
8.1 NOTATION 118
8.2 FUNDAMENTAL RESULTS 118
8.2.1 ALFVEN S THEOREM 118
8.2.2 COWLING S ANTI-DYNAMO THEOREM 119
8.2.3 FERRARO S LAW OF ISOROTATION 119
8.2.4 KELVIN S VORTICITY THEOREM 119
8.3 HYDROMAGNETIC FLOWS 120
8.3.1 HARTMANN FLOW 121
8.3.2 COUETTE FLOW 123
8.3.3 FIELD-ALIGNED FLOWS 123
8.4 SOLAR WIND 125
8.5 NEUTRAL GAS/MAGNETIZED PLASMA FLOWS 121
8.6 BEAMS 128
8.6.1 BEAM PARAMETERS 128
8.6.2 SPECIAL CASES 131
8.1 HYDROMAGNETIC SHOCKS 134
8.1.1 FURTHER NOTATION 135
8.1.2 SHOCK CLASSIFICATION 136
8.1.3 SHOCK PROPAGATION PARALLEL TO BI 131
8.1.4 SHOCK PROPAGATION PERPENDICULAR TO BI 139 8.1.5 GENERAL CASE: FAST
MAGNETIC SHOCKS 140 8.1.6 GENERAL CASE: SLOW MAGNETIC SHOCKS 141 8.1.1
FURTHER READING 142
8.8 ION-ACOUSTIC SHOCK 142
9 EQUILIBRIA AND INSTABILITIES 145
9.1 NOTATION 146
9.2 GENERAL CONSIDERATIONS 147
9.3 FLUID EQUILIBRIA 147
9.3.1 IDEAL MHD 147
9.3.2 CYLINDRICAL EQUILIBRIA 149
IMAGE 7
CONTENTS
9.4 FLUID INSTABILITIES
9.4-1 FIREHOSE INSTABILITY 9.4-2 GRAVITATIONAL INSTABILITY 9.4-3
KELVIN-HELMHOLTZ INSTABILITY 9.4-4 CYLINDRICAL PINCH INSTABILITIES
9.4-5 GENERALIZED PINCH INSTABILITIES 9.4.6 RESISTIVE DRIFT WAVE
INSTABILITY 9.4.7 MHD RESISTIVE WALL INSTABILITY 9.4-8 MHD RESISTIVE
TEARING MODE
9.4-9 STREAMING INSTABILITY 9.5 KINETIC INSTABILITIES 9.5.1 BUMP-IN-TAIL
INSTABILITY 9.5.2 ELECTRON RUNAWAY
9.5.3 ION-ACOUSTIC INSTABILITY
10 MATHEMATICS 10.1 VECTOR ALGEBRA 10.2 VECTOR CALCULUS 10.2.1 CARTESIAN
CO-ORDINATES
10.2.2 CYLINDRICAL CO-ORDINATES 10.2.3 SPHERICAL CO-ORDINATES 10.3
INTEGRAL THEOREMS 10.3.1 STOKES THEOREMS
10.3.2 GAUSS THEOREMS 10.3.3 GREEN S THEOREMS 10.4 MATRICES 10.4-1
MATRIX TRANSPOSE
IO.4.2 COMPLEX CONJUGATE 10.4-3 SYMMETRIC 10.4-4 ORTHOGONAL 10.4.5
NILPOTENT
10.4-6 IDEMPOTENT 10.4.7 TRIANGULAR IO.4.8 TRACE 10.4.9 DETERMINANT AND
INVERSE
10.4-LOPARTITIONED MATRICES 10.4-11 EIGENVALUES AND EIGENVECTORS
10.4-12HERMITIAN MATRIX
152 152 153 155
155 157 161 161
162 163 164 164
165 165
167 168 168 169
170 172 174 174
175 175 175 176
176 176 176 176
176 177 177 177
178 178 179
IMAGE 8
CONTENTS XI
IO.4.13UNITARY MATRIX 179
10.5 EIGENF UNCTIONS OF THE CURL OPERATOR 179
10.6 WAVE SCATTERING 180
10.6.1 SIMPLE CONSTANT BARRIER 180
10.6.2 PHAS E INTEGRAL METHOD 182
10.6.3 MODE CONVERSION 183
10.7 PLASMA DISPERSION FUNCTION 185
APPENDIX A GUIDE TO NOTATION 187
REFERENCES 193
INDEX 199
|
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| indexdate | 2024-07-09T18:54:45Z |
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| isbn | 3527402942 |
| language | English |
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| spelling | Diver, Declan A. Verfasser aut A plasma formulary for physics, technology and astrophysics Declan A. Diver 1. ed. Berlin [u.a.] Wiley-VCH 2001 XVI, 204 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 193 - 198 Plasma (Ionized gases) Plasmaphysik (DE-588)4046259-6 gnd rswk-swf (DE-588)4155008-0 Formelsammlung gnd-content Plasmaphysik (DE-588)4046259-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009538204&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Diver, Declan A. A plasma formulary for physics, technology and astrophysics Plasma (Ionized gases) Plasmaphysik (DE-588)4046259-6 gnd |
| subject_GND | (DE-588)4046259-6 (DE-588)4155008-0 |
| title | A plasma formulary for physics, technology and astrophysics |
| title_auth | A plasma formulary for physics, technology and astrophysics |
| title_exact_search | A plasma formulary for physics, technology and astrophysics |
| title_full | A plasma formulary for physics, technology and astrophysics Declan A. Diver |
| title_fullStr | A plasma formulary for physics, technology and astrophysics Declan A. Diver |
| title_full_unstemmed | A plasma formulary for physics, technology and astrophysics Declan A. Diver |
| title_short | A plasma formulary for physics, technology and astrophysics |
| title_sort | a plasma formulary for physics technology and astrophysics |
| topic | Plasma (Ionized gases) Plasmaphysik (DE-588)4046259-6 gnd |
| topic_facet | Plasma (Ionized gases) Plasmaphysik Formelsammlung |
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