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| Helander P., Sigmar D.J. — Collisional Transport in Magnetized Plasmas |
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| Предметный указатель |
 34
Action integral 99
Adiabatic invariant, general 109
Adiabatic invariant, magnetic moment 101 105
Adiabatic invariant, second 111
Adiabatic invariant, third 112
Alpha particles 41 94
Ambipolarity 8 91 94 159 177
Anisotropy relaxation frequency 57 230
Aspect ratio 125
Aspect ratio and transport 147 149
Banana constraint equation 188 191
Banana orbit 10 130ff.
Banana regime, definition 149
Banana regime, moment approach 233ff.
Banana regime, transport 10 187ff.
Banana-plateau flux 219f 226
Basis vectors 136
Beta 125
Beta, poloidal 142
BGK operator 84 180 230
Boltzmann operator 22
Bootstrap current 205ff. 242f. 272
Boozer coordinates 140
Bounce motion 109f. 129ff.
Bounce time 131f. 144
Braginskii's equations 76ff.
Canonical momentum see "momentum"
Centrifugal force 251
cgs units 276
Chandrasekhar function 38
Chang — Hinton formula 237f.
Chapman — Enskog expansion 59
Circulating particles 129
Classical transport see "transport"
Clebsch representation 110
Collision dynamics 3 13 25f.
Collision frequency 2 3
Collision frequency, effective 10 149 179f. 267
Collision frequency, electron-ion 34
Collision frequency, ion-impurity 34
Collision operator 15 22ff.
Collision operator model 53 213 233f.
Collision operator relativistic 46
Collision operator with Maxwellian background 37
Collision operator, electron-ion 33
Collision operator, fast ion 40f.
Collision operator, field particle 53
Collision operator, Fokker — Planck 29
Collision operator, ion-electron 43
Collision operator, ion-impurity 34
Collision operator, Landau 30
Collision operator, linearized 47ff.
Collision time 5
Collision time, electron-ion 5
Collision time, general 75
Collision time, ion-impurity 177
Collision time, ion-ion 5
Collision time, relativistic 45
Collisional regime see "Pfirsch — Schlueter regime"
Collisionality 59 148ff.
Common flow 224
Conductive heat flux 19
Confinement time 161ff.
Conservation laws 15 17f. 49f.
Constants of motion 127
Continuity equation 17f.
Contravariant components/vectors 136f.
Convective derivative 19
Convective heat flux 19
Coordinates Boozer 140
Coordinates magnetic 136ff.
Coulomb collision 3 13 25f.
Coulomb logarithm 4
Covariant components/vectors 136f.
Cross section 3 27
Current bootstrap 205ff. 242f.
Current in tokamak 153ff.
Current Ohmic 154f.
Current Pfirsch — Schlueter 154f.
Curvature 106f.
Curvature drift 107
Cyclotron frequency 2
Debye length 4
Deflection frequency 36 38
Diamagnetic current 153
Diamagnetic heat flux 65 81 88
Diamagnetic velocity 65 83
Diamagnetic velocity in a tokamak 155
Diamagnetism 121 143
Diffusion coefficient banana 202
Diffusion coefficient Bohm 12
Diffusion coefficient classical 7 92 175
Diffusion coefficient impurity 93 177
Diffusion coefficient neoclassical 150
Diffusion coefficient Pfirsch — Schlueter 176
Diffusion coefficient plateau 181 184
Distribution function 14
Distribution function in toroidal plasma 150ff.
Distribution function, alpha particle 42
Dreicer field 39
Drift kinetic equation 114
Drift kinetic equation for rotating plasma 253
Drift kinetic equation, first-order 152
Drift velocity 107
Drift velocity, across tokamak magnetic field 152
Effective fraction of trapped/circulating particles 194 217f.
Effective ion charge 34
Einstein relation 30
Electric field inductive 148
Electric field radial 95f. 249f.
Electrical conductivity 7Iff.
Elliptic integral 132 217
Energy confinement time 161ff.
energy equation 17f.
Energy exchange frequency 52
Energy flux 18
entropy 19 57
Entropy, production rate 58 89 160 211ff.
Equation of motion for guiding centres 106f.
Equation of motion for particles 14 100
Equilibrium magnetohydrodynamic 121ff.
Equilibrium magnetohydrodynamic non-axisymmetric 136ff.
Equilibrium thermodynamic 16
Euler — Lagrange equation 99
ExB drift 11 83 107
Excursion from flux surface 130
Experimental results 272ff.
Fluid equations 16ff. 59ff.
Flux see "particle flux" or "heat flux"
Flux average 119
Flux surface 118
Fokker — Planck equation 15
Fokker — Planck operator for plasma 29f.
Fokker — Planck operator general 22ff.
Force balance 121
Friction force 18
Friction force classical 66 80
Friction force linearized 51
Friction force on a particle 39 46f.
Galilean invariance 16 30 55
Grad — Shafranov equation 122
Grad-B drift 107
Guiding centre 6 100
Guiding centre, drift 107
Guiding centre, Hamiltonian 115 141
Guiding centre, Lagrangian 106 141
Guiding centre, motion in stellarators 141 267ff.
Guiding centre, motion in tokamaks 127ff.
Gyrofrequency 2
| Gyroradius 2
Gyroviscosity 83 87 114
H-Theorem 58
Hamilton's equations 100 115
Hamilton's principle 99
Hamiltonian bounce-averaged 112
Hamiltonian charged particle 100
Hamiltonian guiding centre 115 141
Heat conductivity/diffusivity banana 10f 196f 204 215
Heat conductivity/diffusivity banana-plateau 226
Heat conductivity/diffusivity classical 9 80f. 98
Heat conductivity/diffusivity parallel 9
Heat conductivity/diffusivity Pfirsch — Schlueter 171 175ff.
Heat conductivity/diffusivity plateau 184
Heat exchange 81
Heat flux 18
Heat flux banana 196f 204 215
Heat flux banana-plateau 219 226
Heat flux classical 9 64 80f. 97f. 170f.
Heat flux diamagnetic 65 81 88
Heat flux neoclassical 160
Heat flux Pfirsch — Schlueter 170f. 175ff.
Heat flux plateau 184
Heat flux tensor 221
Heat flux with orbit squeezing 266
Heat flux within flux surfaces 157
Heat friction 173
Heat stress tensor 87
Impurity ions, accumulation in core 93 177 273f.
Impurity ions, collision operator 34
Impurity ions, transport 92f. 176f. 245 254ff.
Inductance 143
Interpolation between collisionality regimes 236ff.
Isodynamic field 270
Jacobian general 137
Jacobian in axisymmetric field 119
Jacobian in Boozer coordinates 140
Kinetic equation 14ff.
Kinetic equation in general form 113
Krook operator 84 180 230
Lagrangian bounce-averaged 112
Lagrangian charged particle 99
Lagrangian guiding centre 105 141
Laguerre polynomials 74
Larmor frequency 2
Larmor radius 2
Legendre polynomials 52
Longitudinal invariant 111 269
Loop voltage 148
Lorentz approximation/limit 63
Lorentz operator 33 192
Lorentz operator, self-adjointness 50
Magnetic axis 118
Magnetic coordinates 136ff.
Magnetic curvature 106f.
Magnetic field axisymmetric 117f.
Magnetic field curvature 106f.
Magnetic field diffusion 161
Magnetic field poloidal 117
Magnetic field stellarator 136ff. 267
Magnetic field toroidal 118
magnetic moment 101
Magnetized plasma 6 60 146f.
Matrix elements 75
Maxwellian distribution 16 150f.
Mean-free path 9 59
Mirror force 106
Moment approach 219ff.
Moment equations 19
Moments 16f.
Momentum canonical 100 141
Momentum equation 17f.
Momentum flux see "viscosity"
Momentum flux in plasma cylinder 97
Momentum Hamiltonian 100
Momentum toroidal canonical 128
Neoclassical heat flux 10 160
Neoclassical parallel viscosity coefficients see "viscosity coefficients"
Neoclassical particle flux 159f.
Neoclassical resistivity 205 207
Neoclassical transport see "transport"
Non-axisymmetric systems 136ff. 267ff.
Off-diagonal transport 92 98 212 218
Ohm's law 65
Omnigeneity 269
Onsager symmetry 67ff. 80 98 213 218 226
Orbit squeezing 260ff.
Orbits in stellarators 267ff.
Orbits in tokamaks 127ff.
Parallel viscous force 220ff.
Paramagetism 122 143
Particle flux banana 202
Particle flux banana-plateau 219f. 225f.
Particle flux classical 7 64 92ff.
Particle flux diamagnetic 65 83
Particle flux neoclassical 158f.
Particle flux Pfirsch — Schlueter 175ff.
Particle flux plateau 184
Particle flux within flux surfaces 157
Particle motion 99ff.
Particle motion in stellarators 141 267ff.
Particle motion in tokamaks 127ff.
Passing particles 129
Pedestal 254
Pfirsch — Schlueter current 154f.
Pfirsch — Schlueter flux 219f.
Pfirsch — Schluter regime, definition 149
Pfirsch — Schluter regime, moment approach 227ff.
Pfirsch — Schluter regime, transport 167ff.
Pitch-angle scattering 34
Pitch-angle scattering, critical speed for 41
Plateau regime, definition 149
Plateau regime, moment approach 23Iff.
Plateau regime, transport 179ff.
Poloidal asymmetries 169f. 255ff. 274
Poloidal beta 142
Poloidal flow see "rotation"
Poloidal flux function 118 138
Potato orbit 133ff. 210
Poynting's theorem 162
Precession frequency 116 144f.
Pressure 18
Pressure anisotropy 221f.
Pressure magnetic 107
Pressure tensor 85
q see "safety factor"
Quasiaxisymmetric field 269
Quasihelical field 268
Quasiomnigenous field 269
Quasipoloidal symmetry 269
Quasisymmetric field 268
Radial electric field 95f. 249f.
Random walk banana 10
Random walk classical 6ff.
Random walk Pfirsch — Schlueter 167f.
Random walk, plateau 182
Rate-of-strain tensor 78
Relativistic collisions 43ff.
resistivity see "electrical conductivity"
Resonance in plateau regime 181
Return current 154
Return flow 156
Ripple, magnetic 267
Rosenbluth potentials 29 37f.
Rotation 157
Rotation poloidal 157 190 216 225 240f. 246ff.
Rotation toroidal 195f. 249ff.
Rotational transform 139
Runaway electrons 38ff. 43
Rutherford formula 13
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