Plasma formulary for physics, astronomy, and technology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH
2013
|
| Edition: | 2., revised and enlarged ed. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XVI, 214 S. graph. Darst. 240 mm x 170 mm |
| ISBN: | 9783527411993 9783527653287 3527411992 |
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MARC
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| 100 | 1 | |a Diver, Declan A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Plasma formulary for physics, astronomy, and technology |c Declan A. Diver |
| 250 | |a 2., revised and enlarged ed. | ||
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2013 | |
| 300 | |a XVI, 214 S. |b graph. Darst. |c 240 mm x 170 mm | ||
| 336 | |b txt |2 rdacontent | ||
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| _version_ | 1807955331583574016 |
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CONTENTS
PREFACE TO THE
SECOND EDITION XIII
PREFACE TO THE FIRST EDITION XV
1 BASIC PHYSICAL DATA 1
1.1 BASIC PHYSICAL UNITS 1
1.1.1 SI UNITS 1
1.1.2 CGS-GAUSSIAN UNITS 2
1.2 MAXWELL'S ELECTROMAGNETIC EQUATIONS 2
1.3 SPECIAL RELATIVITY 3
1.4 PHYSICAL CONSTANTS 4
1.5 DIMENSIONAL ANALYSIS 5
1.6 IONIZATION ENERGIES OF GAS-PHASE ATOMS AND
MOLECULES
1.7 ELECTRON AFFINITIES OF SELECTED ATOMS AND
MOLECULES
8
1.8 ATOMIC AND
MOLECULAR NOTATION 9
1.8.1 ATOMIC ELECTRON CONFIGURATIONS 9
1.8.1.1 PRINCIPAL QUANTUM
NUMBER, N 10
1.8.1.2 AZIMUTHAL QUANTUM
NUMBER, I 10
1.8.1.3 MAGNETIC QUANTUM
NUMBER, MJ 11
1.8.1.4 SPIN QUANTUM
NUMBER, M
S
11
1.8.1.5 MULTIELECTRON ATOMS 12
1.8.1.6 SELECTION RULES FOR TRANSITIONS 13
1.8.1.7 EMISSION AND
ABSORPTION 13
1.8.2 MOLECULAR ELECTRON CONFIGURATIONS 13
1.8.2.1 BORN-OPPENHEIMER
APPROXIMATION 14
1.8.2.2 A QUANTUM NUMBER 14
1.8.2.3 SPIN QUANTUM
NUMBER 14
1.8.2.4 MOLECULAR
TERM NOTATION 14
1.8.2.5 SYMMETRY 15
1.8.2.6 SELECTION RULES FOR TRANSITIONS 15
1.9 CHARACTERISTIC PARAMETERS FOR TYPICAL PLASMAS 17
1.9.1 LABORATORY PLASMA REACTORS 17
1.9.1.1 CORONA DISCHARGE 17
1.9.1.2 DIELECTRIC BARRIER DISCHARGE 17
HTTP://D-NB.INFO/1029120838
VI |
CONTENTS
1.9.1.3 GEC REFERENCE CELL 18
1.9.1.4 HOLLOW CATHODE DISCHARGE 18
1.9.1.5 TOKAMAK 19
1.9.2 TERRESTRIAL AND
SOLAR PLASMAS 21
2 BASIC PLASMA PARAMETERS 25
2.1 NOTATION 25
2.2 NATURAL TIMESCALES 26
2.2.1 CHARACTERISTIC FREQUENCIES 26
2.2.1.1 PLASMA FREQUENCY 26
2.2.1.2 CYCLOTRON FREQUENCY 27
2.2.1.3 COLLISION FREQUENCY 27
2.2.2 CHARACTERISTIC TIMES 27
2.2.2.1 ALFVEN TRANSIT
TIME 27
2.2.2.2 COLLISION TIME 27
2.2.2.3 RESISTIVE TIMESCALE 28
2.3 NATURAL SCALE LENGTHS 28
2.3.1 DEBYE LENGTH 28
2.3.2 MEAN FREE PATH 28
2.3.3 PLASMA SKIN DEPTH 29
2.3.4 LARMOR RADIUS 29
2.4 NATURAL SPEEDS 29
2.4.1 ALFVEN SPEED 29
2.4.2 SOUND SPEED 30
2.5 MISCELLANEOUS PARAMETERS 30
2.5.1 COLLISION CROSS-SECTION 30
2.5.2 DIFFERENTIAL SCATTERING CROSS-SECTION 30
2.5.3 MAGNETIC MOMENT 31
2.5.4 MOBILITY 31
2.6 NONDIMENSIONAL PARAMETERS 32
2.6.1 DIELECTRIC CONSTANT 32
2.6.2 HARTMANN NUMBER 32
2.6.3 KNUDSEN NUMBER 32
2.6.4 LUNDQUIST NUMBER 33
2.6.5 MACH NUMBER 33
2.6.6 MAGNETIC REYNOLDS NUMBER 33
2.6.7 PLASMA BETA 33
2.7 PARAMETER RELATIONSHIPS 34
3 DISCHARGE PLASMAS AND ELEMENTARY PROCESSES 35
3.1 NOTATION 35
3.2 PLASMA SHEATH 36
3.2.1 PLANAR SHEATH EQUATION 36
3.2.1.1 BOHM
SHEATH CRITERION 37
3.2.2 CHILD-LANGMUIR LAW 37
3.2.3 COLLISIONAL SHEATHS 38
CONTENTS I VII
3.3 DOUBLE LAYER 39
3.4 DIFFUSION PARAMETERS 40
3.4.1 FREE DIFFUSION 40
3.4.2 MOBILITY 41
3.4.3 AMBIPOLAR DIFFUSION 41
3.4.3.1 RESTRICTIONS 42
3.4.4 AMBIPOLAR DIFFUSION
IN A MAGNETIC FIELD 43
3.4.4.1 RESTRICTIONS 43
3.5 IONIZATION 43
3.5.1 TOWNSEND BREAKDOWN 43
3.5.1.1 TOWNSEND'S FIRST IONIZATION COEFFICIENT 43
3.5.1.2 STOLETOW POINT 45
3.5.1.3 RESTRICTIONS 46
3.5.2 ALFVEN IONIZATION 46
3.5.3 SECONDARY ELECTRON EMISSION 48
3.5.3.1 TOWNSEND'S SECOND IONIZATION COEFFICIENT 48
3.5.3.2 EFFECT OF ELECTRON ATTACHMENT 48
3.5.3.3 GENERALIZED TREATMENT
OF SECONDARY PROCESSES 49
3.5.4 TOWNSEND BREAKDOWN CRITERION 49
3.5.5 PASCHEN CURVE 49
3.6 IONIZATION EQUILIBRIUM 50
3.6.1 LOCAL THERMODYNAMIC EQUILIBRIUM 50
3.6.2 SAHA EQUATION 51
4 RADIATION 53
4.1 NOTATION 53
4.2 RADIATION FROM
A MOVING POINT CHARGE 54
4.2.1 LIENARD-WIECHERT POTENTIALS 54
'4.2.2 ELECTRIC AND
MAGNETIC FIELDS OF A MOVING CHARGE 55
4.2.3 POWER RADIATED BY AN
ACCELERATING POINT
CHARGE 56
4.2.3.1 NONRELATIVISTIC 56
4.2.3.2 RELATIVISTIC, P,J,. COLLINEAR 57
4.2.3.3 RELATIVISTIC, P
V
,
/?,, ORTHOGONAL 57
4.2.3.4 RELATIVISTIC, FI
V
, FI
V
GENERAL 59
4.2.4 FREQUENCY SPECTRUM OF RADIATION FROM
AN ACCELERATING CHARGE 59
4.3 CYCLOTRON AND
SYNCHROTRON RADIATION 60
4.3.1 SPECTRAL POWER DENSITY 61
4.3.2 POWER IN EACH HARMONIC 62
4.3.3 TOTAL RADIATED POWER 62
4.3.4 /?* 5C 1: CYCLOTRON EMISSION 63
4.3.5 /J,, ~ 1: SYNCHROTRON EMISSION 63
4.4 BREMSSTRAHLUNG 64
4.5 RADIATION SCATTERING 64
4.5.1 THOMSON SCATTERING 65
4.5.1.1 THOMSON
SCATTERING CROSS-SECTION FOR
SINGLE ELECTRON 66
VIII |
CONTENTS
4.5.2 INCOHERENT
THOMSON SCATTERING
FROM AN UNMAGNETIZED PLASMA 68
4.5.2.1 NONRELATIVISTIC PLASMA, JCA
D
1 68
4.5.2.2 RELATIVISTIC PLASMA,
FCA
D
S 1 68
4.5.3 COHERENT
THOMSON
SCATTERING FROM
AN UNMAGNETIZED
PLASMA 69
4.5.4 COMPTON SCATTERING 70
4.5.5 KLEIN-NISHINA CROSS-SECTION 71
5 KINETIC THEORY 73
5.1 NOTATION 73
5.2 FUNDAMENTALS 74
5.3 BOLTZMANN EQUATION 75
5.4 MAXWELLIAN DISTRIBUTION 75
5.4.1 RESTRICTIONS ON THE MAXWELLIAN DISTRIBUTION 76
5.5 RELATIVISTIC MAXWELLIAN 77
5.6 VLASOV DESCRIPTION 79
5.6.1 EQUILIBRIUM SOLUTIONS 80
5.6.1.1 CASE I: E = B = 0 80
5.6.1.2 CASE II: E = 0, B = ZB
0
(R) 80
5.6.1.3 CASE III: E = -XD / (X)/DX, B = 0 81
5.6.1.4 STABILITY OF METAEQUILIBRIA 81
5.7 COLLISIONAL MODELING 81
5.7.1 BOLTZMANN COLLISION
TERM 81
5.7.1.1 RESTRICTIONS 81
5.7.2 SIMPLIFIED BOLTZMANN COLLISION
TERM 82
5.7.2.1 RESTRICTIONS 82
5.7.3 FOKKER-PLANCK 82
5.7.4 FOKKER-PLANCK POTENTIALS 83
5.7.4.1 RESTRICTIONS 83
5.8 DRIVEN SYSTEMS 83
5.8.1 GENERALIZED DISTRIBUTION 83
5.8.1.1 THERMAL MOTION DOMINANT:
MAXWELLIAN DISTRIBUTION 84
5.8.1.2 THERMAL MOTION NEGLIGIBLE: DRUYVESTEYN DISTRIBUTION 85
5.8.1.3 HARMONIC E, THERMAL MOTION NEGLIGIBLE: AMENDED
DRUYVESTEYN 85
5.8.1.4 HIGH FREQUENCY
LIMIT 85
5.8.1.5 GENERAL FORM 87
5.8.1.6 RESTRICTIONS 87
6 PLASMA TRANSPORT 89
6.1 NOTATION 89
6.2 BASIC DEFINITIONS 90
6.3 BINARY COLLISIONS 90
6.3.1 ELASTIC COLLISIONS BETWEEN CHARGED PARTICLES 90
6.3.1.1 BINARY COULOMB COLLISION 90
6.3.1.2 MULTIPLE COULOMB
COLLISIONS 91
6.3.1.3 RELAXATION TIMES FOR MAXWELLIAN DISTRIBUTIONS 92
6.4 PARTICLE DYNAMICS 94
CONTENTS | IX
6.4.1 DRIFTS 95
6.4.1.1 CONSTANT E, B 95
6.4.1.2 NONUNIFORM E, UNIFORM B: 95
6.4.1.3 NONUNIFORM B, E = 0: GRAD B DRIFT 95
6.4.1.4 NONUNIFORM B, E = 0: CURVATURE DRIFT 96
6.4.1.5 EXTERNAL FORCE DRIFT 96
6.4.1.6 RESTRICTIONS 96
6.4.1.7 UNIFORM B, NONUNIFORM
DENSITY: DIAMAGNETIC DRIFT 96
6.4.1.8 MOTION IN A MONOCHROMATIC PLANE WAVE 97
6.4.2 ADIABATIC INVARIANTS 97
6.4.2.1 MAGNETIC MOMENT 97
6.4.2.2 LONGITUDINAL INVARIANT 97
6.4.3 MAGNETIC MIRROR 98
6.5 TRANSPORT COEFFICIENTS 99
6.5.1 FULLY IONIZED PLASMA, ZERO MAGNETIC FIELD, KROOK OPERATOR 99
6.5.2 LORENTZIAN AND
SPITZER CONDUCTIVITY 99
6.5.2.1 LORENTZ CONDUCTIVITY 99
6.5.2.2 SPITZER CONDUCTIVITY 100
6.5.3 FULLY IONIZED AND
MAGNETIZED PLASMA: BRAGINSKII COEFFICIENTS 101
6.5.3.1 MOMENTUM
TRANSFER FROM IONS
TO ELECTRONS 102
6.5.3.2 ELECTRON HEAT FLUX 103
6.5.3.3 ION HEAT FLUX 103
6.5.3.4 RESISTIVITY 104
6.5.4 CORRECTIONS TO BRAGINSKII COEFFICIENTS 104
6.5.5 EQUAL MASS PLASMA TRANSPORT 104
7 PLASMA WAVES 107
7.1 NOTATION 107
7.2 WAVES IN COLD PLASMAS 108
7.2.1 MODEL EQUATIONS 108
7.2.2 COLD PLASMA VARIABLE DEPENDENCIES 109
7.2.3 DIELECTRIC TENSOR
FOR A COLD MAGNETIZED PLASMA 110
7.2.4 GENERAL DISPERSION RELATION 110
7.2.4.1 PARALLEL PROPAGATION 111
7.2.4.2 RESONANCES AND
CUT-OFFS: PARALLEL PROPAGATION 114
7.2.4.3 PERPENDICULAR PROPAGATION 115
7.2.4.4 RESONANCES AND
CUT-OFFS: PERPENDICULAR PROPAGATION 116
7.2.4.5 FAST ALFVEN WAVE 116
7.2.5 EQUAL-MASS COLD PLASMAS 116
7.3 FLUID PLASMAS 117
7.3.1 HYDROMAGNETIC EQUATIONS 117
7.3.2 SINGLE FLUID MHD PLASMA 118
7.3.3 VARIABLE DEPENDENCIES IN IDEAL MHD 120
7.3.4 GENERAL DISPERSION RELATION: IDEAL MHD 120
7.3.4.1 ALFVEN WAVE 121
X | CONTENTS
7.3.4.2 MAGNETOSONIC MODES 121
7.4 WAVES IN HOT PLASMAS 122
7.4.1 DIELECTRIC FUNCTION FOR AN UNMAGNETIZED PLASMA 122
7.4.2 LANGMUIR
WAVES 123
7.4.3 ION-ACOUSTIC WAVES 123
7.4.4 DIELECTRIC TENSOR
FOR A HOT PLASMA 124
7.4.4.1 PARALLEL PROPAGATION 126
7.4.4.2 PERPENDICULAR PROPAGATION 127
8 FLOWS 129
8.1 NOTATION 129
8.2 FUNDAMENTAL RESULTS 130
8.2.1 ALFVEN'S THEOREM 130
8.2.2 COWLING'S ANTIDYNAMO
THEOREM 130
8.2.3 FERRARO'S LAW OF ISOROTATION 130
8.2.4 KELVIN'S VORTICITY
THEOREM 131
8.3 HYDROMAGNETIC FLOWS 131
8.3.1 HARTMANN FLOW 132
8.3.2 COUETTE FLOW 134
8.3.3 FIELD-ALIGNED FLOWS 135
8.3.3.1 TJ, X CONSTANT: 136
8.3.3.2 R] = 0 136
8.3.3.3 INVISCID FLOWS 136
8.4 SOLAR WIND 136
8.5 NEUTRAL GAS/MAGNETIZED PLASMA
FLOWS 138
8.6 BEAMS 139
8.6.1 BEAM PARAMETERS 140
8.6.1.1 RELATIVISTIC FACTORS 140
8.6.1.2 BUDKER PARAMETER 140
8.6.1.3 NEUTRALIZATION 140
8.6.1.4 ALFVEN CURRENT 141
8.6.1.5 GENERALIZED PERVEANCE 142
8.6.2 SPECIAL CASES 142
8.6.2.1 CYLINDRICAL BEAM WITH
ZERO APPLIED MAGNETIC FIELD 142
8.6.2.2 CYLINDRICAL BEAM IN INFINITE MAGNETIC FIELD 143
8.7 HYDROMAGNETIC SHOCKS 145
8.7.1 FURTHER NOTATION 146
8.7.2 SHOCK CLASSIFICATION 147
8.7.3 SHOCK PROPAGATION PARALLEL TO 148
8.7.3.1 FAST PURE GAS SHOCK (FM1) 148
8.7.3.2 SWITCH-ON SHOCK (FM2) 149
8.7.3.3 SWITCH-ON SHOCK (SM2) 149
8.7.4 SHOCK PROPAGATION PERPENDICULAR TO BJ 149
8.7.4.1 PERPENDICULAR SHOCK (FM1) 150
8.7.4.2 CONTACT DISCONTINUITY 150
CONTENTS | XI
8.7.5 GENERAL CASE: FAST MAGNETIC SHOCKS 151
8.7.6 GENERAL CASE: SLOW MAGNETIC SHOCKS 152
8.7.7 FURTHER READING 152
8.8 ION-ACOUSTIC SHOCK 153
9 EQUILIBRIA AND INSTABILITIES 155
9.1 NOTATION 155
9.2 GENERAL CONSIDERATIONS 156
9.3 FLUID EQUILIBRIA 157
9.3.1 IDEAL MHD 157
9.3.1.1 UNIFORM B
0
157
9.3.1.2 GENERAL CASE 157
9.3.1.3 FORCE-FREE EQUILIBRIUM 158
9.3.1.4 TAYLOR EQUILIBRIA 158
9.3.2 CYLINDRICAL EQUILIBRIA 158
9.3.2.1 BENNETT RELATION 158
9.3.2.2 PLASMA COLUMN
RESONANCES 159
9.3.2.3 SURFACE WAVES ON A PLASMA CYLINDER 160
9.4 FLUID INSTABILITIES 161
9.4.1 FIREHOSE INSTABILITY 161
9.4.2 GRAVITATIONAL INSTABILITY 162
9.4.3 KELVIN-HELMHOLTZ INSTABILITY 164
9.4.4 CYLINDRICAL PINCH INSTABILITIES 164
9.4.4.1 SAUSAGE INSTABILITY: M = 0 165
9.4.4.2 KINK INSTABILITY: M ^ 0 166
9.4.5 GENERALIZED PINCH INSTABILITIES 166
9.4.5.1 ENERGY PRINCIPLE 167
9.4.5.2 SUYDAM CRITERION 169
9.4.5.3 MERCIER CRITERION 169
9.4.6 RESISTIVE DRIFT WAVE INSTABILITY 169
9.4.7 MHD
RESISTIVE WALL INSTABILITY 170
9.4.8 MHD RESISTIVE TEARING MODE 171
9.4.9 STREAMING INSTABILITY 172
9.5 KINETIC INSTABILITIES 173
9.5.1 BUMP-IN-TAIL INSTABILITY 173
9.5.2 ELECTRON RUNAWAY 174
9.5.3 ION-ACOUSTIC INSTABILITY 174
10 MATHEMATICS 177
10.1 VECTOR ALGEBRA 177
10.2 VECTOR CALCULUS 178
10.2.1 CARTESIAN COORDINATES 178
10.2.2 CYLINDRICAL COORDINATES 179
10.2.3 SPHERICAL COORDINATES 181
10.3 INTEGRA] THEOREMS 183
10.3.1 STOKES' THEOREMS 183
CONTENTS
10.3.2 GAUSS' THEOREMS 183
10.3.3 GREEN'S THEOREMS 184
10.4 MATRICES 184
10.4.1 MATRIX TRANSPOSE 184
10.4.2 COMPLEX CONJUGATE 184
10.4.3 SYMMETRIC 185
10.4.4 ORTHOGONAL 185
10.4.5 NILPOTENT 185
10.4.6 IDEMPOTENT 185
10.4.7 TRIANGULAR 185
10.4.8 TRACE 18 6
10.4.9 DETERMINANT
AND INVERSE 186
10.4.10 PARTITIONED MATRICES 186
10.4.11 EIGENVALUES AND
EIGENVECTORS 187
10.4.12 HERMITIAN MATRIX 187
10.4.13 UNITARY MATRIX 188
10.5 EIGENFUNCTIONS OF THE
CURL OPERATOR
10.6 WAVE SCATTERING 189
10.6.1 SIMPLE CONSTANT BARRIER 189
10.6.2 PHASE INTEGRAL METHOD 191
10.6.3 MODE CONVERSION 192
10.7 PLASMA DISPERSION FUNCTION 194
APPENDIX GUIDE TO NOTATION 197
LIST OF FIGURES 201
LIST OF TABLES 203
REFERENCES 205
INDEX 209 |
| any_adam_object | 1 |
| author | Diver, Declan A. |
| author_facet | Diver, Declan A. |
| author_role | aut |
| author_sort | Diver, Declan A. |
| author_variant | d a d da dad |
| building | Verbundindex |
| bvnumber | BV040797501 |
| classification_rvk | UR 8000 |
| ctrlnum | (OCoLC)842387159 (DE-599)DNB1029120838 |
| dewey-full | 530.440212 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.440212 |
| dewey-search | 530.440212 |
| dewey-sort | 3530.440212 |
| dewey-tens | 530 - Physics |
| discipline | Physik Geographie |
| edition | 2., revised and enlarged ed. |
| format | Book |
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| genre | (DE-588)4155008-0 Formelsammlung gnd-content |
| genre_facet | Formelsammlung |
| id | DE-604.BV040797501 |
| illustrated | Illustrated |
| indexdate | 2024-08-21T00:36:03Z |
| institution | BVB |
| isbn | 9783527411993 9783527653287 3527411992 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025777670 |
| oclc_num | 842387159 |
| open_access_boolean | |
| owner | DE-11 DE-703 DE-19 DE-BY-UBM |
| owner_facet | DE-11 DE-703 DE-19 DE-BY-UBM |
| physical | XVI, 214 S. graph. Darst. 240 mm x 170 mm |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Diver, Declan A. Verfasser aut Plasma formulary for physics, astronomy, and technology Declan A. Diver 2., revised and enlarged ed. Weinheim Wiley-VCH 2013 XVI, 214 S. graph. Darst. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Plasmaphysik (DE-588)4046259-6 gnd rswk-swf (DE-588)4155008-0 Formelsammlung gnd-content Plasmaphysik (DE-588)4046259-6 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4216972&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=025777670&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Diver, Declan A. Plasma formulary for physics, astronomy, and technology Plasmaphysik (DE-588)4046259-6 gnd |
| subject_GND | (DE-588)4046259-6 (DE-588)4155008-0 |
| title | Plasma formulary for physics, astronomy, and technology |
| title_auth | Plasma formulary for physics, astronomy, and technology |
| title_exact_search | Plasma formulary for physics, astronomy, and technology |
| title_full | Plasma formulary for physics, astronomy, and technology Declan A. Diver |
| title_fullStr | Plasma formulary for physics, astronomy, and technology Declan A. Diver |
| title_full_unstemmed | Plasma formulary for physics, astronomy, and technology Declan A. Diver |
| title_short | Plasma formulary for physics, astronomy, and technology |
| title_sort | plasma formulary for physics astronomy and technology |
| topic | Plasmaphysik (DE-588)4046259-6 gnd |
| topic_facet | Plasmaphysik Formelsammlung |
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