Theoretical Principles of the Plasma-Equilibrium Control in Stellarators | |
Introduction | p. 1 |
History of the problem and a general review of the theory | p. 4 |
The first problems of tokamaks and stellarators | p. 4 |
The problem of high [beta] | p. 10 |
Development of the MHD theory of stellarators | p. 15 |
High [beta] and the problem of plasmaequilibrium control | p. 20 |
Free-boundary plasma equilibrium | p. 23 |
Plasma-shape control in stellarators | p. 28 |
General equations of the theory of plasma equilibrium in conventional stellarators | p. 33 |
Stellarator approximation and the magnetic differential equation | p. 34 |
Real and averaged magnetic surfaces | p. 42 |
Integral quantities | p. 48 |
Currents in equilibrium configurations | p. 53 |
Longitudinal current in a stellarator | p. 61 |
Two-dimensional equation of plasma equilibrium in stellarators | p. 66 |
Analytical models | p. 72 |
Two-dimensional model of a stellarator | p. 72 |
Minimal set of parameters | p. 79 |
Description of the inner part of the plasma | p. 84 |
Effect of satellite harmonics on the stellarator configuration | p. 90 |
Control of plasma equilibrium using a vertical magnetic field | p. 97 |
Boundary conditions in equilibrium problems | p. 97 |
Reduction of the boundary conditions | p. 104 |
Effect of a vertical field on the plasmacolumn position in stellarators | p. 110 |
Suppression of the Pfirsch-Schluter current in conventional stellarators | p. 121 |
Integral independence on [beta] and "overcompensation" | p. 130 |
The influence of a quadrupole field on the stellarator configuration | p. 138 |
Control of the vacuum stellarator configuration using a quadrupole field | p. 138 |
Doublet-like stellarator configurations | p. 146 |
Control of the rotational-transform profile with the help of the quadrupole field | p. 161 |
Elongation of the plasma column as a means of increasing [beta][subscript eq] in stellarators | p. 172 |
List of main symbols | p. 177 |
References | p. 180 |
Fundamentals of Stationary Plasma Thruster Theory | |
Introduction | p. 203 |
General picture of processes in SPTs | p. 206 |
Principal scheme of an SPT | p. 206 |
Specifics of physical processes in SPTs | p. 210 |
Quasi-autonomous functional units of SPTs | p. 213 |
General system of equations and boundary conditions for SPT processes | p. 217 |
Magnetic and electric fields in SPTs | p. 219 |
Magnetic fields in SPTs | p. 219 |
"Equipotentialization" of the magnetic force lines. Magnetic drift surfaces | p. 221 |
The "loading" of magnetic force lines | p. 225 |
Plasma electric field for the quasi-Maxwellian electron component | p. 229 |
Remarks | p. 233 |
Electron kinetics in the SPT channel | p. 234 |
Characteristics of particle collisions with each other and with the surfaces | p. 235 |
Electron distribution functions in the SPT channel | p. 246 |
Debye layers on the SPT channel walls | p. 260 |
The near-wall conductivity (NWC) | p. 277 |
UHF-oscillations in the SPT channel | p. 299 |
Some conclusions | p. 305 |
Erosion of insulators in SPTs | p. 308 |
The role and form of insulator erosion | p. 308 |
Ion sputtering | p. 311 |
Mathematical modeling of the anomalous erosion | p. 319 |
Heavy particle dynamics in the SPT channel | p. 325 |
Dynamics of single heavy particles | p. 326 |
A kinetic description of ionizing heavy particles | p. 329 |
Similarity criteria for discharges in SPT | p. 332 |
The "inverse" problem of heavy particle dynamics | p. 339 |
An analysis of processes using the emerging flux characteristics | p. 341 |
Estimate of energetic balance components in the SPT-ATON | p. 342 |
Low-frequency oscillations in SPTs | p. 346 |
Experimental data on LF-oscillations in the SPT channel | p. 347 |
Linear oscillations in a one-dimensional flux model without ionization | p. 353 |
One-dimensional self-consistent models for plasma flow in an SPT channel | p. 360 |
Modeling an SPT in the one-dimensional hydrodynamic approximation | p. 360 |
The results of calculations in the hydrodynamic model | p. 363 |
Dynamics of oscillations | p. 368 |
A hybrid model for the plasma flow in an SPT | p. 369 |
SPTs in real conditions | p. 375 |
The particle influx from the VC into the SPT | p. 377 |
Preventing particle influx from the VC | p. 381 |
Supersynchronization phenomenon | p. 382 |
Conclusions | p. 383 |
Appendix | p. 384 |
The necessity of electric propulsion thrusters | p. 384 |
References | p. 387 |
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