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Biskamp D. — Nonlinear Magnetohydrodynamics
Biskamp D. — Nonlinear Magnetohydrodynamics



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Название: Nonlinear Magnetohydrodynamics

Автор: Biskamp D.

Аннотация:

This book provides a self-contained introduction to magnetohydrodynamics (MHD), with emphasis on nonlinear processes. The book outlines the conventional aspects of MHD theory, magnetostatic equilibrium and linear stability theory. It concentrates on nonlinear theory, starting with the evolution and saturation of individual ideal and resistive instabilities, continuing with a detailed analysis of magnetic reconnection and concluding with a study of the most complex nonlinear behavior, that of MHD turbulence. The last chapters describe three important applications of the theory: disruptive processes in tokomaks, MHD effects in the reversed field pinch, and solar flares.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 392

Добавлена в каталог: 11.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Magnetic flux conservation      13
Magnetic flux expulsion      324
Magnetic flux tube      14
Magnetic helicity      12
Magnetic helicity generalized      167 291
Magnetic neutral point      72
Magnetic pitch      300
Magnetic pressure      26
Magnetic reconnection      see "reconnection"
Magnetic Reynolds number      23
Magnetic shear      27
Magnetic surface      28
Magnetoconvection      233 324
Magnetohydrodynamic (MHD), equations dissipative      22
Magnetohydrodynamic (MHD), equations ideal      11
Magnetohydrodynamic (MHD), waves      51
Magnetosonic mode, fast and slow      52
Magnetostatic equilibrium      24
Magnetotail of the earth      164—166
Main phase of flare      333
Markovization      213
Mean field electrodynamics      189
Mean square magnetic potential      180
Memory time      211
Mercier's stability criterion      68
Micro-current sheets      215—18
Micro-scale modified Kolmogorov      201
Micro-scale Taylor      202
Micro-scale, Kolmogorov      201
Minimum energy theorem      187 188 193
Mixing length      320
Multi-helicity dynamics      275
Multi-variate normal distribution      182
Navier — Stokes equation      233
Navier — Stokes turbulence      185 198
Negative resistivity      279
Negative voltage spike      269
Network field in the photosphere      329
Neutral point      see "magnetic neutral point"
Neutral sheet      71
Normal (= Gaussian) probability distribution      182
Normal mode analysis      50
Novikov's condition      222
Null, of magnetic field      170
Null-null line      171
O-point      72
Ohm's law      10 22
Ohmic dissipation      22
Ohmic heating      250
Parallel current      58
Parallel flow      130
Parallel heat conductivity      250 327
Paramagnetic pinch velocity      307
Paramagnetic poloidal current      27
Permeability of the vacuum $\mu_{0}$      7
Petschek's reconnection model      133
Photosphere      326
Pinch cylindrical      26
Pinch parameter      295
Pinch reversed-field (RFP)      289
Pinch sheet      25
Pinch theta ($\theta$)-      26
Pinch theta Z-      26
Plage      see "active region"
Plasma frequency      22
Plasma temperature      10 250 327
Poloidal beta      27
Poloidal field      30
Poloidal mode number      60
Post-flare loops      333
Potential energy $\delta$W      54
Prandtl number      321
Prandtl number magnetic      233
Precursor oscillation      242 265 285
Predisruption phase      265 270
Preflare phase      333
Prominence      see "filament"
Quadratic invariant      179
Quasi-linear approximation      87—90
Quasi-neutrality      9
Quasi-normal approximation      211
Radiation loss      264 272
Radiative interior of the sun      317
Rational surface      16
Rayleigh number      321
Rayleigh — Taylor instability      69 319
Reconnection complete      242
Reconnection driven      132
Reconnection due to electron inertia      254
Reconnection due to hyperresistivity      253
Reconnection fast and slow      127
Reconnection models, quasi-ideal      132
Reconnection partial      257
Reconnection rate      130
Reduced energy spectrum      208
Reduced MHD equations      17
Renormalization group theory for turbulence      209
Resistive      81—83
Resistive instability      see "instability"
Resistive layer      74
Resistivity, anomalous      173 279
Resistivity, collisional (or classical)      250
Resonant perturbation      45
Resonant surface      71
Reversed-field pinch (RFP)      289
Reynolds number      23 176
Reynolds number kinetic      23 176
Reynolds number magnetic      23 176
Reynolds number Taylor micro-scale      202
Rippling mode      83
Rotational transform      16 27
Rugged invariants      181
Runaway electrons      270
Safety factor      27
Sawtooth collapse (or crash)      240
Sawtooth collapse (or crash) partial      249
Sawtooth, compound      249
Sawtooth, giant      247
Sawtooth, monster      247
Sawtooth, normal      240
Selective decay      185
Self-organization      185
Semi-implicit method      20
Separator      171
Separatrix      72
Shafranov shift      33
Shear Alfven wave      51
Shear, magnetic      27
Sheet pinch      25
Sheet pinch corrugated      42
Single-helicity approximation      87 271 301
Singular surface      see "resonant surface"
Skewness factor      232
Slow magnetosonic wave      53
Slow mode shock      134
Soft X-radiation (SX)      240
Solov'ev equilibrium      32
Sound wave      53
Spectrum, dissipation range      202
Spectrum, energy      196—209
Spectrum, inertial range      197
Spectrum, magnetic helicity      200
Spectrum, mean square potential      200
Spectrum, of eigenvalues      50
Spectrum, vorticity      233
Spicule      328
Stellarator      46
Stellarator expansion      46
Stochastic field lines      45
Stratification      319
Stream function      18
Structure functions      221
Superadiabatic temperature gradient      317
Supergranulation      324
Surface current      58 96
Suydam's criterion      64
Symmetry helical      28
Symmetry rotational (or axisymmetric)      30
Symmetry translational (or plane)      30
Symmetry, continuous      28
Syrovatskii's current sheet solution      138
Taylor micro-scale      202
Taylor micro-scale Reynolds number      202
Taylor's theory of magnetic relaxation      290
Tearing mode (or instability) cylindrical      76
Tearing mode (or instability) nonlinear finite beta      114—17
Tearing mode (or instability) nonlinear low beta      107—114
Tearing mode (or instability) plane      74—75
Tearing mode (or instability) toroidal      83
Tearing mode of Sweet-Parker sheet      152—156
TFTR      260
Thermal convection      319—21
Thermal instability      246
Theta($\theta$)-pinch      26
Tokamak equilibrium      42
Tokamak ordering      64
Toroidal curvature      67
Toroidal mode number      65
Trial (or test) function      56
Turbulence comparison Navier — Stokes and MHD      185
Turbulence homogeneous isotropic      177
Turbulence ideal truncated      179—183
Turbulent dissipation in 2-D MHD      214—218
Turbulent dynamo      189—192 309—312
Turbulent resistivity      279
Turbulent viscosity      279
Two-point closure theory      211
Two-ribbon flare      333
Universal energy spectrum      203
Upstream region      129
Vacuum magnetic energy      56 94
Viscosity, eddy      212
Viscosity, kinematic      22
Viscosity, turbulent      279
Voltage      see "loop voltage"
Vortex tube      233
Vorticity magnetic field analogy      233
Wall stabilization      59 297
Waves, MHD      51
Woltjer invariant      14
X-point      72
Z-pinch      26
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