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1 | (16) |
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2 | (1) |
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3 | (2) |
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1.3 Steady State Tokamak Reactors |
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5 | (3) |
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1.4 Major Features of SSTR |
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8 | (2) |
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1.5 Reactor Power Balance |
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10 | (7) |
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2 Plasma Equilibrium in Tokamak |
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17 | (28) |
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2.1 Topology of Magnetic Confinement |
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17 | (2) |
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2.2 Magnetic Field Structure of Tokamak |
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19 | (4) |
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2.2.1 Hamilton Structure of the Magnetic Field B |
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19 | (1) |
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2.2.2 Magnetic Field in Flux Coordinates |
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20 | (3) |
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23 | (8) |
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2.3.1 Grad-Shafranov Equilibrium |
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23 | (2) |
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2.3.2 Current Hole Equilibrium |
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25 | (1) |
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2.3.3 Anisotropic Pressure Equilibrium |
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26 | (2) |
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2.3.4 Equilibrium with Flow |
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28 | (1) |
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2.3.5 General Tensor Equilibrium |
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29 | (2) |
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2.4 1.5D Transport Equations in Tokamak |
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31 | (14) |
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32 | (1) |
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2.4.2 Energy and Particle Conservation Equations |
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33 | (2) |
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2.4.3 Magnetic Diffusion Equation |
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35 | (4) |
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2.4.4 Equilibrium Equation |
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39 | (1) |
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2.4.5 Summary of 1.5D Transport Equations |
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40 | (1) |
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2.4.6 Flux Conserving Tokamak Equilibrium |
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41 | (4) |
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3 Advanced Tokamak Regime |
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45 | (18) |
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46 | (1) |
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3.2 Current Profile and Density Limit |
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47 | (1) |
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48 | (2) |
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3.4 Negative Shear Operation |
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50 | (3) |
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3.5 Current Hole Operation |
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53 | (2) |
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55 | (3) |
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3.7 New Tokamaks for Advanced Tokamak Research |
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58 | (2) |
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3.8 Appendix: Tokamak/Helical Representative Data |
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60 | (3) |
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4 Collisional Transport in Tokamak |
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63 | (52) |
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4.1 Moment Equations in Tokamak |
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64 | (10) |
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64 | (7) |
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4.1.2 Flux-Surface Averaged Moment Equations |
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71 | (3) |
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74 | (6) |
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74 | (3) |
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4.2.2 Linearized Collision Operator |
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77 | (1) |
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4.2.3 Collisionality Regimes in Tokamaks |
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78 | (2) |
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4.3 Parallel Friction and Viscosity in Tokamak |
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80 | (12) |
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4.3.1 Drift Kinetic Equation |
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80 | (3) |
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4.3.2 Parallel Friction from Drift Kinetic Equation |
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83 | (3) |
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4.3.3 Parallel Viscosity from Drift Kinetic Equation |
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86 | (6) |
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92 | (13) |
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4.4.1 Generalized Ohm's Law |
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92 | (1) |
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4.4.2 Electrical Conductivity |
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93 | (2) |
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95 | (3) |
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4.4.4 Neutral Beam Current Drive |
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98 | (4) |
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102 | (3) |
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4.5 Plasma Rotation in Tokamak |
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105 | (10) |
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4.5.1 Neoclassical Rotations |
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105 | (4) |
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4.5.2 Neoclassical Toroidal Viscosity |
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109 | (6) |
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5 Low Frequency Collective Motions in Tokamak |
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115 | (42) |
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5.1 Electrostatic Drift Waves |
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116 | (10) |
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5.1.1 Density Gradient Drift Waves |
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116 | (2) |
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118 | (1) |
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5.1.3 Toroidal ITG and ETG Modes |
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119 | (4) |
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5.1.4 Trapped Electron Mode/ITG |
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123 | (3) |
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126 | (5) |
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126 | (1) |
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5.2.2 Kinetic Alfven Wave |
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127 | (2) |
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129 | (2) |
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5.3 Gyro Kinetic Theory of Drift Waves |
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131 | (17) |
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5.3.1 Classical Gyrokinetic Theory |
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131 | (6) |
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5.3.2 Modern Gyro Kinetic Theory |
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137 | (11) |
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5.4 Linear Gyrokinetics of Drift Waves |
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148 | (9) |
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5.4.1 Global Structure of ITG/TEM |
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148 | (5) |
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5.4.2 Electron Temperature Gradient (ETG) Mode |
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153 | (4) |
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6 Fundamentals of Ballooning Modes in Tokamak |
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157 | (18) |
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6.1 Double Periodicity and Ballooning Mode |
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158 | (1) |
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6.2 ID Ballooning Transform |
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159 | (4) |
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6.2.1 Eikonal Formulation |
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159 | (2) |
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6.2.2 Translational Symmetry in Ballooning Mode |
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161 | (2) |
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6.3 2D Ballooning Transform |
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163 | (3) |
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6.4 WKBJ Solution of 2D Wave Equation |
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166 | (4) |
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166 | (1) |
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167 | (3) |
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6.5 Local Dispersion Relation |
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170 | (5) |
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170 | (1) |
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171 | (4) |
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7 Turbulent Transport in Tokamak |
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175 | (54) |
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7.1 Critical Temperature Gradient Transport |
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176 | (11) |
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7.1.1 Structure Formation in Non-equilibrium Open System |
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176 | (1) |
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7.1.2 Self-organized Criticality in Tokamak Transport |
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177 | (2) |
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7.1.3 Observations of Critical Gradients |
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179 | (3) |
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7.1.4 Particle Transport and ITG/TEM Transition |
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182 | (5) |
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7.2 Flow Shear Suppression of Turbulence |
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187 | (4) |
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7.2.1 Turbulence-Flow Paradigm |
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187 | (2) |
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7.2.2 Mean Flow and Avalanche Dynamics |
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189 | (2) |
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7.3 Turbulence and Zonal Flow |
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191 | (19) |
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7.3.1 Hasegawa-Mima Equation |
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191 | (7) |
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7.3.2 Zonal Flow by Modulational Instability |
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198 | (2) |
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7.3.3 Residual Zonal Flow |
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200 | (3) |
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7.3.4 Zonal Flow Dynamics |
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203 | (7) |
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7.4 Edge and Internal Transport Barriers |
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210 | (5) |
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7.4.1 Edge Transport Barrier |
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210 | (3) |
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7.4.2 Internal Transport Barrier |
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213 | (2) |
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7.5 Electromagnetic Turbulence |
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215 | (4) |
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7.5.1 ITG/TEM/KBM Turbulence |
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215 | (3) |
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7.5.2 Micro Tearing Mode Turbulence |
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218 | (1) |
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7.6 Turbulent Momentum Transport |
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219 | (3) |
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7.7 Plasma Confinement in Tokamak |
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222 | (7) |
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7.7.1 Similarity Law in Fluid Mechanics and Invariant Principle |
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222 | (2) |
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7.7.2 Invariant Principle of Plasma Confinement |
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224 | (5) |
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229 | (72) |
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8.1 Spectral Property of MHD Operator |
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230 | (12) |
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8.1.1 MHD Spectrum of the Cylindrical Plasma |
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233 | (6) |
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8.1.2 Spectrum Gap in the Periodic Potential |
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239 | (3) |
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242 | (4) |
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8.2.1 ID Newcomb Equation |
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243 | (1) |
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8.2.2 2D Newcomb Equation |
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243 | (3) |
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8.3 Frieman-Rotenberg Equation |
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246 | (4) |
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8.4 Ideal Localized Modes |
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250 | (12) |
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8.4.1 Edge Localized Modes |
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250 | (4) |
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8.4.2 Ballooning and Peeling Modes |
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254 | (5) |
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8.4.3 Infernal Mode and Barrier Localized Mode |
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259 | (3) |
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262 | (12) |
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8.5.1 Classical Tearing Mode |
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262 | (3) |
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8.5.2 Neoclassical Tearing Mode |
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265 | (2) |
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8.5.3 Double Tearing Mode |
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267 | (7) |
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274 | (3) |
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277 | (18) |
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8.7.1 Global MHD Spectrum in Axisymmetric Tokamak |
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277 | (3) |
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8.7.2 High-n Alfven Eigenmodes |
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280 | (4) |
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8.7.3 Categories of AE Modes |
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284 | (5) |
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8.7.4 Energetic Particle Modes (EPM) |
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289 | (2) |
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291 | (4) |
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295 | (6) |
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8.8.1 RWM in the Cylindrical Tokamak |
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295 | (1) |
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8.8.2 RWM in General Tokamak Equilibrium |
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296 | (1) |
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8.8.3 Ferromagnetic Wall Effect on RWM |
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297 | (1) |
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8.8.4 Stabilization of RWM in Tokamak |
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298 | (1) |
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8.8.5 Energetic-Particle-Driven Wall Mode |
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298 | (3) |
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9 Technology Developments for Fusion Power |
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301 | (40) |
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9.1 Superconducting Technology for Magnet System |
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302 | (8) |
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302 | (3) |
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9.1.2 Superconducting Materials |
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305 | (2) |
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9.1.3 Superconducting Magnet |
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307 | (3) |
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9.2 Structural Materials for Fusion |
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310 | (7) |
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9.2.1 Material-Neutron Interaction |
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310 | (2) |
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9.2.2 Reduced Activation Ferrite/Martensitic Steel |
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312 | (3) |
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315 | (2) |
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317 | (6) |
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9.3.1 Tritium Breeding Material |
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317 | (4) |
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321 | (2) |
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323 | (4) |
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9.4.1 Neutron-Material Interaction |
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323 | (1) |
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324 | (2) |
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9.4.3 Neutronics Applications |
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326 | (1) |
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9.5 Tritium and Deuterium Chemistry |
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327 | (6) |
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9.5.1 Physical Chemistry of Hydrogen |
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327 | (2) |
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329 | (1) |
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9.5.3 Hydrogen Isotope Exchange Reaction |
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330 | (3) |
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9.5.4 Fuel Circulation System in the Fusion Reactor |
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333 | (1) |
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9.6 Negative Ion Source and N-NBI System |
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333 | (3) |
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9.6.1 Negative-Ion-Based Neutral Beam Injection |
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333 | (1) |
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9.6.2 Negative Ion Source |
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334 | (2) |
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9.6.3 Negative Ion Accelerator |
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336 | (1) |
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9.7 Gyrotron and ECRF System |
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336 | (5) |
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341 | (14) |
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A.1 Vector Identities and Differential Operators |
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341 | (4) |
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A.2 Curvilinear Coordinates |
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345 | (1) |
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A.3 Vectors and Tensors on the Surface |
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346 | (2) |
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348 | (1) |
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A.5 Spectrum and Initial Value Problem of Linear Operator |
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349 | (1) |
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A.6 Important Ordinary Differential Equations |
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350 | (1) |
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A.7 Square Integrable Functions and L2 Space |
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351 | (1) |
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A.8 Poisson Summation Formula |
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352 | (1) |
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353 | (2) |
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355 | (6) |
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355 | (1) |
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355 | (3) |
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355 | (1) |
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B.2.2 Vector and Scalar Potentials |
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356 | (1) |
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356 | (1) |
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357 | (1) |
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357 | (1) |
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B.3 Lagrange and Hamilton Mechanics |
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358 | (1) |
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359 | (2) |
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C Appendix to Plasmas Physics |
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361 | (14) |
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C.1 DKE Solution in Banana Regime |
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361 | (7) |
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C.2 DKE Solution for Fast Ion |
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368 | (7) |
References |
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375 | (20) |
Index |
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395 | |