Plasma physics and fusion energy:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2007
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 671 S. Ill., graph. Darst. |
| ISBN: | 9780521851077 0521851076 |
Staff View
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Record in the Search Index
| _version_ | 1804136207573057536 |
|---|---|
| adam_text | Contents
Preface page xiii
Acknowledgements xv
Units xvii
Part I Fusion power 1
1 Fusion and world energy 3
1.1 Introduction 3
1.2 The existing energy options 4
1.3 The role of fusion energy 16
1.4 Overall summary and conclusions 19
Bibliography 20
2 The fusion reaction 21
2.1 Introduction 21
2.2 Nuclear vs. chemical reactions 21
2.3 Nuclear energy by fission 23
2.4 Nuclear energy by fusion 24
2.5 The binding energy curve and why it has the shape it does 29
2.6 Summary 35
Bibliography 35
Problems 36
3 Fusion power generation 37
3.1 Introduction 37
3.2 The concepts of cross section, mean free path, and collision
frequency 38
3.3 The reaction rate 42
3.4 The distribution functions, the fusion cross sections, and the fusion
power density 46
3.5 Radiation losses 51
3.6 Summary 56
Bibliography 57
Problems 58
vii
viii Contents
4 Power balance in a fusion reactor 60
4.1 Introduction 60
4.2 The 0 D conservation of energy relation 60
4.3 General power balance in magnetic fusion 62
4.4 Steady state 0 D power balance 62
4.5 Power balance in the plasma 65
4.6 Power balance in a reactor 69
4.7 Time dependent power balance in a fusion reactor 74
4.8 Summary of magnetic fusion power balance 82
Bibliography 82
Problems 83
5 Design of a simple magnetic fusion reactor 85
5.1 Introduction 85
5.2 A generic magnetic fusion reactor 85
5.3 The critical reactor design parameters to be calculated 86
5.4 Design goals, and basic engineering and nuclear physics constraints 88
5.5 Design of the reactor 91
5.6 Summary 105
Bibliography 106
Problems 106
Part II The plasma physics of fusion energy 109
6 Overview of magnetic fusion 111
6.1 Introduction 111
6.2 Basic description of a plasma 113
6.3 Single particle behavior 113
6.4 Self consistent models 114
6.5 MHD equilibrium and stability 115
6.6 Magnetic fusion concepts 116
6.7 Transport 117
6.8 Heating and current drive 118
6.9 The future of fusion research 120
Bibliography 120
7 Definition of a fusion plasma 121
7.1 Introduction 121
7.2 Shielding DC electric fields in a plasma the Debye length 122
7.3 Shielding AC electric fields in a plasma the plasma frequency 126
7.4 Low collisionality and collective effects 130
7.5 Additional constraints for a magnetic fusion plasma 133
7.6 Macroscopic behavior vs. collisions 135
7.7 Summary 135
Bibliography 136
Problems 137
Contents ix
8 Single particle motion in a plasma guiding center theory 139
8.1 Introduction 139
8.2 General properties of single particle motion 141
8.3 Motion in a constant B field 143
8.4 Motion in constant B and E fields: the E x B drift 148
8.5 Motion infields with perpendicular gradients: the Vß drift 151
8.6 Motion in a curved magnetic field: the curvature drift 156
8.7 Combined Vvb and Vi drifts in a vacuum magnetic field 159
8.8 Motion in time varying E and B fields: the polarization drift 160
8.9 Motion in fields with parallel gradients: the magnetic moment and
mirroring 167
8.10 Summary putting all the pieces together 177
Bibliography 179
Problems 179
9 Single particle motion Coulomb collisions 183
9.1 Introduction 183
9.2 Coulomb collisions mathematical derivation 185
9.3 The test particle collision frequencies 191
9.4 The mirror machine revisited 198
9.5 The slowing down of high energy ions 201
9.6 Runaway electrons 207
9.7 Net exchange collisions 212
9.8 Summary 219
Bibliography 220
Problems 221
10 A self consistent two fluid model 223
10.1 Introduction 223
10.2 Properties of a fluid model 224
10.3 Conservation of mass 227
10.4 Conservation of momentum 229
10.5 Conservation of energy 234
10.6 Summary of the two fluid model 241
Bibliography 242
Problems 243
11 MHD macroscopic equilibrium 245
11.1 The basic issues of macroscopic equilibrium and stability 245
11.2 Derivation of MHD from the two fluid model 246
11.3 Derivation of MHD from guiding center theory 252
11.4 MHD equilibrium a qualitative description 258
11.5 Basic properties of the MHD equilibrium model 261
11.6 Radial pressure balance 264
11.7 Toroidal force balance 271
x Contents
11.8 Summary of MHD equilibrium 292
Bibliography 293
Problems 293
12 MHD macroscopic stability 296
12.1 Introduction 296
12.2 General concepts of stability 297
12.3 A physical picture of MHD instabilities 302
12.4 The general formulation of the ideal MHD stability problem 307
12.5 The infinite homogeneous plasma MHD waves 313
12.6 The linear Ö pinch 317
12.7 The m = 0 mode in a linear Z pinch 320
12.8 The m — 1 mode in a linear Z pinch 324
12.9 Summary of stability 329
Bibliography 329
Problems 330
13 Magnetic fusion concepts 333
13.1 Introduction 333
13.2 The levitated dipole (LDX) 335
13.3 The field reversed configuration (FRC) 344
13.4 The surface current model 350
13.5 The reversed field pinch (RFP) 358
13.6 The spheromak 373
13.7 Thetokamak 380
13.8 The stellarator 423
13.9 Revisiting the simple fusion reactor 437
13.10 Overall summary 441
Bibliography 443
Problems 445
14 Transport 449
14.1 Introduction 449
14.2 Transport in a 1 D cylindrical plasma 451
14.3 Solving the transport equations 465
14.4 Neoclassical transport 478
14.5 Empirical scaling relations 497
14.6 Applications of transport theory to a fusion ignition experiment 513
14.7 Overall summary 529
Bibliography 529
Problems 531
15 Heating and current drive 534
15.1 Introduction 534
15.2 Ohmic heating 537
15.3 Neutral beam heating 540
Contents xi
15.4 Basic principles of RF heating and current drive 551
15.5 The cold plasma dispersion relation 569
15.6 Collisionless damping 571
15.7 Electron cyclotron heating (ECH) 586
15.8 Ion cyclotron heating (ICH) 597
15.9 Lower hybrid current drive (LHCD) 609
15.10 Overall summary 624
Bibliography 625
Problems 627
16 The future of fusion research 633
16.1 Introduction 633
16.2 Current status of plasma physics research 633
16.3 ITER 637
16.4 A Demonstration Power Plant (DEMO) 642
Bibliography 644
Appendix A Analytical derivation of (cru) 645
Appendix B Radiation from an accelerating charge 650
AppendixC Derivation of Boozer coordinates 656
Appendix D Poynting s theorem 664
Index 666
|
| adam_txt |
Contents
Preface page xiii
Acknowledgements xv
Units xvii
Part I Fusion power 1
1 Fusion and world energy 3
1.1 Introduction 3
1.2 The existing energy options 4
1.3 The role of fusion energy 16
1.4 Overall summary and conclusions 19
Bibliography 20
2 The fusion reaction 21
2.1 Introduction 21
2.2 Nuclear vs. chemical reactions 21
2.3 Nuclear energy by fission 23
2.4 Nuclear energy by fusion 24
2.5 The binding energy curve and why it has the shape it does 29
2.6 Summary 35
Bibliography 35
Problems 36
3 Fusion power generation 37
3.1 Introduction 37
3.2 The concepts of cross section, mean free path, and collision
frequency 38
3.3 The reaction rate 42
3.4 The distribution functions, the fusion cross sections, and the fusion
power density 46
3.5 Radiation losses 51
3.6 Summary 56
Bibliography 57
Problems 58
vii
viii Contents
4 Power balance in a fusion reactor 60
4.1 Introduction 60
4.2 The 0 D conservation of energy relation 60
4.3 General power balance in magnetic fusion 62
4.4 Steady state 0 D power balance 62
4.5 Power balance in the plasma 65
4.6 Power balance in a reactor 69
4.7 Time dependent power balance in a fusion reactor 74
4.8 Summary of magnetic fusion power balance 82
Bibliography 82
Problems 83
5 Design of a simple magnetic fusion reactor 85
5.1 Introduction 85
5.2 A generic magnetic fusion reactor 85
5.3 The critical reactor design parameters to be calculated 86
5.4 Design goals, and basic engineering and nuclear physics constraints 88
5.5 Design of the reactor 91
5.6 Summary 105
Bibliography 106
Problems 106
Part II The plasma physics of fusion energy 109
6 Overview of magnetic fusion 111
6.1 Introduction 111
6.2 Basic description of a plasma 113
6.3 Single particle behavior 113
6.4 Self consistent models 114
6.5 MHD equilibrium and stability 115
6.6 Magnetic fusion concepts 116
6.7 Transport 117
6.8 Heating and current drive 118
6.9 The future of fusion research 120
Bibliography 120
7 Definition of a fusion plasma 121
7.1 Introduction 121
7.2 Shielding DC electric fields in a plasma the Debye length 122
7.3 Shielding AC electric fields in a plasma the plasma frequency 126
7.4 Low collisionality and collective effects 130
7.5 Additional constraints for a magnetic fusion plasma 133
7.6 Macroscopic behavior vs. collisions 135
7.7 Summary 135
Bibliography 136
Problems 137
Contents ix
8 Single particle motion in a plasma guiding center theory 139
8.1 Introduction 139
8.2 General properties of single particle motion 141
8.3 Motion in a constant B field 143
8.4 Motion in constant B and E fields: the E x B drift 148
8.5 Motion infields with perpendicular gradients: the Vß drift 151
8.6 Motion in a curved magnetic field: the curvature drift 156
8.7 Combined Vvb and Vi drifts in a vacuum magnetic field 159
8.8 Motion in time varying E and B fields: the polarization drift 160
8.9 Motion in fields with parallel gradients: the magnetic moment and
mirroring 167
8.10 Summary putting all the pieces together 177
Bibliography 179
Problems 179
9 Single particle motion Coulomb collisions 183
9.1 Introduction 183
9.2 Coulomb collisions mathematical derivation 185
9.3 The test particle collision frequencies 191
9.4 The mirror machine revisited 198
9.5 The slowing down of high energy ions 201
9.6 Runaway electrons 207
9.7 Net exchange collisions 212
9.8 Summary 219
Bibliography 220
Problems 221
10 A self consistent two fluid model 223
10.1 Introduction 223
10.2 Properties of a fluid model 224
10.3 Conservation of mass 227
10.4 Conservation of momentum 229
10.5 Conservation of energy 234
10.6 Summary of the two fluid model 241
Bibliography 242
Problems 243
11 MHD macroscopic equilibrium 245
11.1 The basic issues of macroscopic equilibrium and stability 245
11.2 Derivation of MHD from the two fluid model 246
11.3 Derivation of MHD from guiding center theory 252
11.4 MHD equilibrium a qualitative description 258
11.5 Basic properties of the MHD equilibrium model 261
11.6 Radial pressure balance 264
11.7 Toroidal force balance 271
x Contents
11.8 Summary of MHD equilibrium 292
Bibliography 293
Problems 293
12 MHD macroscopic stability 296
12.1 Introduction 296
12.2 General concepts of stability 297
12.3 A physical picture of MHD instabilities 302
12.4 The general formulation of the ideal MHD stability problem 307
12.5 The infinite homogeneous plasma MHD waves 313
12.6 The linear Ö pinch 317
12.7 The m = 0 mode in a linear Z pinch 320
12.8 The m — 1 mode in a linear Z pinch 324
12.9 Summary of stability 329
Bibliography 329
Problems 330
13 Magnetic fusion concepts 333
13.1 Introduction 333
13.2 The levitated dipole (LDX) 335
13.3 The field reversed configuration (FRC) 344
13.4 The surface current model 350
13.5 The reversed field pinch (RFP) 358
13.6 The spheromak 373
13.7 Thetokamak 380
13.8 The stellarator 423
13.9 Revisiting the simple fusion reactor 437
13.10 Overall summary 441
Bibliography 443
Problems 445
14 Transport 449
14.1 Introduction 449
14.2 Transport in a 1 D cylindrical plasma 451
14.3 Solving the transport equations 465
14.4 Neoclassical transport 478
14.5 Empirical scaling relations 497
14.6 Applications of transport theory to a fusion ignition experiment 513
14.7 Overall summary 529
Bibliography 529
Problems 531
15 Heating and current drive 534
15.1 Introduction 534
15.2 Ohmic heating 537
15.3 Neutral beam heating 540
Contents xi
15.4 Basic principles of RF heating and current drive 551
15.5 The cold plasma dispersion relation 569
15.6 Collisionless damping 571
15.7 Electron cyclotron heating (ECH) 586
15.8 Ion cyclotron heating (ICH) 597
15.9 Lower hybrid current drive (LHCD) 609
15.10 Overall summary 624
Bibliography 625
Problems 627
16 The future of fusion research 633
16.1 Introduction 633
16.2 Current status of plasma physics research 633
16.3 ITER 637
16.4 A Demonstration Power Plant (DEMO) 642
Bibliography 644
Appendix A Analytical derivation of (cru) 645
Appendix B Radiation from an accelerating charge 650
AppendixC Derivation of Boozer coordinates 656
Appendix D Poynting's theorem 664
Index 666 |
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| id | DE-604.BV022223079 |
| illustrated | Illustrated |
| index_date | 2024-07-02T16:29:54Z |
| indexdate | 2024-07-09T20:52:44Z |
| institution | BVB |
| isbn | 9780521851077 0521851076 |
| language | English |
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| publisher | Cambridge Univ. Press |
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| spelling | Freidberg, Jeffrey P. Verfasser aut Plasma physics and fusion energy Jeffrey P. Freidberg 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2007 XVII, 671 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fusion nucléaire contrôlée Plasma (Gaz ionisés) Controlled fusion Plasma (Ionized gases) Plasmaphysik (DE-588)4046259-6 gnd rswk-swf Kernfusion (DE-588)4030323-8 gnd rswk-swf Fusionsplasma (DE-588)4617284-1 gnd rswk-swf Fusionsreaktor (DE-588)4155733-5 gnd rswk-swf Kernfusion (DE-588)4030323-8 s DE-604 Plasmaphysik (DE-588)4046259-6 s Fusionsplasma (DE-588)4617284-1 s Fusionsreaktor (DE-588)4155733-5 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015434260&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Freidberg, Jeffrey P. Plasma physics and fusion energy Fusion nucléaire contrôlée Plasma (Gaz ionisés) Controlled fusion Plasma (Ionized gases) Plasmaphysik (DE-588)4046259-6 gnd Kernfusion (DE-588)4030323-8 gnd Fusionsplasma (DE-588)4617284-1 gnd Fusionsreaktor (DE-588)4155733-5 gnd |
| subject_GND | (DE-588)4046259-6 (DE-588)4030323-8 (DE-588)4617284-1 (DE-588)4155733-5 |
| title | Plasma physics and fusion energy |
| title_auth | Plasma physics and fusion energy |
| title_exact_search | Plasma physics and fusion energy |
| title_exact_search_txtP | Plasma physics and fusion energy |
| title_full | Plasma physics and fusion energy Jeffrey P. Freidberg |
| title_fullStr | Plasma physics and fusion energy Jeffrey P. Freidberg |
| title_full_unstemmed | Plasma physics and fusion energy Jeffrey P. Freidberg |
| title_short | Plasma physics and fusion energy |
| title_sort | plasma physics and fusion energy |
| topic | Fusion nucléaire contrôlée Plasma (Gaz ionisés) Controlled fusion Plasma (Ionized gases) Plasmaphysik (DE-588)4046259-6 gnd Kernfusion (DE-588)4030323-8 gnd Fusionsplasma (DE-588)4617284-1 gnd Fusionsreaktor (DE-588)4155733-5 gnd |
| topic_facet | Fusion nucléaire contrôlée Plasma (Gaz ionisés) Controlled fusion Plasma (Ionized gases) Plasmaphysik Kernfusion Fusionsplasma Fusionsreaktor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015434260&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT freidbergjeffreyp plasmaphysicsandfusionenergy |