Fundamentals of Plasma Physics

relation to vector potential, 97
volume per unit, 334
flux linkage, 346
flux preservation, 272
flux surface, 96
in mirror, 91
flux tube
Grad-Shafranov solution for, 295
Fokker-Planck theory, 382
force
axial MHD force, 287
between parallel currents, 268
centrifugal, 79
flux-conserving, 273
hoop, 270
non-conservative, 286
pinch, 269
force-free
magnetic field, 344
force-free equilibrium, 322, 335
Bessel function model, 358
Lundquist solution, 358
force-free magnetic field, 268
free-energy
in sheared non-neutral plasma, 477
frequently used formulae, 524
frictional drag, 391
qualitative derivation of, 37
frozen-influx
proof of, 48
fusion
break-even, 297
criteria for, 296

Gaussian integrals, 59
geometric optics, 213
good curvature, 305
grad B
current, 93
drift, 80
force, 78
Grad-Shafranov equation, 278
Green’s function in diocotron mode,
474
group velocity, 201
guiding center

definition of, 76

Hall term, 48

Hamilton-Lagrange

formalism, 62

Hamiltonian, 64, 65

coupled harmonic oscillator, 430

geometric optics, 213

Helmholtz equation, 358

Hermitian part, 223

hollow profile, 474

hoop force, 270

ignitron, 29

ignorable coordinate, 64

image charge, line, 479

inductance, 272

induction equation, 49

in magnetic reconnection, 366

inhomogeneous plasmas, 210

initial condition

Poisson’s equation as, 179

initial value, 158

instability

caviton, 451

decay, 428

free-boundary, 323, 326

kink, 325, 331

parametric, 428

positron-electron streaming, 150

Rayleigh-Taylor, 299

resistive wall, 471

sausage, 323, 331

streaming, 149

ion acoustic velocity

in sheath, 56

ion acoustic wave, 129

in decay instability, 439

Landau damping of, 170

Landau instability, 176

ion saturation current, 56

ion-ion resonance, 208

isothermal limit of energy equation,

40

J, second adiabatic invariant, 87

531