Fundamentals of Plasma Physics and Controlled Fusion

Contents......Page 3
Preface......Page 7
1.2 Charge Neutrality and Landau Damping......Page 11
1.3 Fusion Core Plasma......Page 13
2.1 Velocity Space Distribution Function, Te, Ti......Page 17
2.2 Plasma Frequency, Debye Length......Page 18
2.3 Cyclotron Frequency, Lamor Radius......Page 19
2.4 Drift Velocity of Guiding Center......Page 20
2.5 Magetic Moment, Mirror Cnfinement......Page 22
2.6 Coulomb Collision Time, Neutral Beam Injection......Page 24
2.7 Runaway Electron, Dreicer Field......Page 28
2.9 Time and Space Scales in Plasmas......Page 29
3.1 Maxwell Equation......Page 31
3.2 Magnetic Surface......Page 33
3.3 Eq. of Motion of a Charged Particle......Page 34
3.4 Partcicle Orbit in Axially Symmetric System......Page 36
3.5 Drift of Guiding Center in Toroidal Field......Page 38
3.6 Orbit of Guiding Center and Magnetic Surface......Page 41
3.7 Effect of Longitudinal E on Banna Orbit......Page 42
4.1 Phase Space and Distribution Function......Page 44
4.2 Boltzmann's and Vlasov's Equation......Page 45
5.1 MHD Equations for Two Fluids......Page 48
5.2 MHD equations for One Fluid......Page 50
5.3 Simplified MHD Equations......Page 51
5.4 Magnetoacoustic Wave......Page 53
6.1 Pressure Equilibrium......Page 56
6.2 Equilibrium Eq. for Axially and Translationally Symmetric Systems......Page 57
6.3 Tokamak Equilibrium......Page 59
6.4 Poloidal Field for Tokamak Equilibrium......Page 65
6.5 Upper Limit of Beta Ratio......Page 67
6.6 Pfirsch-Schluter Current......Page 68
6.7 Virial Theorem......Page 70
Ch.7 Diffusion, Confinement......Page 73
7.1 Collisional Diffusion......Page 74
7.2 Neoclassical Diffusion in Tokamak......Page 77
7.3 Fluctuation Loss, Bohm Diffusion, Convective Loss......Page 79
7.4 Loss by Magnetic Fluctuation......Page 82
8.1 Interchange, Sausage, Kink......Page 84
8.2 Formulation of MHD Instabilities......Page 92
8.3 Instabilities of Cylindrical Plasma......Page 97
8.4 Hain-Lust MHD Equation......Page 109
8.5 Ballooning Instability......Page 110
8.6 Eta-i Mode due to n and T Gradient......Page 114
9.1 Tearing Instability......Page 117
9.2 Resistive Drift Instability......Page 121
10.1 Dispersion Eq. of Waves in a Cold Plasma......Page 126
10.2 Properties of Waves......Page 129
10.3 Waves in Two-Components Plasma......Page 131
Alfven Wave......Page 134
Ion Cyclotron Wave and Fast Wave......Page 135
Lower Hybrid Resonance......Page 137
Electron Cyclotron Wave......Page 138
10.5 Conditions for Electrostatic Waves......Page 139
11.1 Landau Damping (Amplification)......Page 141
11.3 Cyclotron Damping......Page 144
11.4 Quasi-Linear Theory of Evolution in f(v)......Page 146
12.1 Energy Flow......Page 149
12.2 Ray Tracing......Page 153
12.3 Dielectric Tensor of Hot Plasmas, Wave Absorption and Heating......Page 154
12.4 Wave Heating in Ion Cyclotron Range of Frequency......Page 158
12.5 Lower Hybrid Wave Heating......Page 161
12.6 Electron Cyclotron Heating......Page 164
13.1 Dispersion Eq. of Electrostatic Wave......Page 167
13.2 Two Streams Instability......Page 168
13.3 Electron Beam Instability......Page 169
14.1 Fishbone Instability......Page 172
14.2 Toroidal Alfven Eigenmode......Page 179
Ch.15 Development of Fusion Researches......Page 192
16.1 Tokamak Devices......Page 199
16.2 Equilibrium......Page 203
16.3 MHD Stability and Density Limit......Page 205
16.4 Beta Limit of Elongated Plasma......Page 207
16.5 Impurity Control, Scrape-Off Layer, Divertor......Page 208
16.6 Confinement Scaling of L Mode......Page 212
16.7 H Mode and Improved Confinement Modes......Page 214
Lower Hybrid Current Drive......Page 219
Electron Cyclotron Current Drive......Page 223
Neutral Beam Current Drive......Page 225
Bootstrap Current......Page 227
16.9 Neoclassical Tearing Mode......Page 228
16.10 Resistive Wall Mode......Page 234
16.11 Parameters of Tokamak Reactors......Page 241
17.1 RFP......Page 248
17.2 Stellarator......Page 252
17.3 Open End Systems (Mirror)......Page 261
18.1 Pellet Gain......Page 270
18.2 Implosion......Page 273
Ap.A Derivation of MHD Equations......Page 277
B.1 Energy Integral in Illuminating Form......Page 281
B.2 Energy Integral of Axisymmetric Toroidal System......Page 283
B.3 Energy Integral of High n Ballooning Modes......Page 288
C.1 Formulation of Dispersion Relation in Hot Plasma......Page 290
C.2 Solution of Linearized Vlasov Eq.......Page 291
C.3 Dielectric Tensor of Hot Plasma......Page 292
C.4 Dielectric Tensor of bi-Maxwellian Plasma......Page 295
C.5 Dispersion Relation of Electrostatic Wave......Page 296
C.6 Dispersion Relation of Wave in Inhomogenenous Plasma......Page 297
Plasma Parameters, Mathematical Formula......Page 301
Index......Page 304