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Title: Some aspects of anomalous transport in tokamaks: stochastic magnetic fields, tearing modes and nonlinear ballooning instabilities

Thesis/Dissertation ·
OSTI ID:5673850

Various problems in the theory of anomalous transport in tokamaks are investigated. First, as an introduction a general overview of the current theories of confinement is presented. The q greater than one and less than two region is studied since this region is the thermally insulating region of the tokamak. It is shown that stochastic magnetic field transport is not important to the insulating region, because drift tearing modes are stable in this region. A discussion of flux surface breakup is given. It is demonstrated that, in a model with simplified electron dynamics, no breakup occurs. Tearing modes are shown to be stable in an equilibrium without islands and unstable in an equilibrium with islands. It is therefore proposed that tearing modes observed in experiments originate as equilibrium islands, which may be caused by nonaxisymmetry of the device. The nonlinear evolution of ideal ballooning modes in a simple model is investigated. The saturation mechanism is shown to be the flattening of the density gradient by the instability. One surprising feature of the evolution is the lack of mode coupling in the poloidal wavenumber spectrum. The resistive ballooning mode in this model is analyzed; it is shown that, well below ideal marginal stability, resistive modes cause high levels of transport.

Research Organization:
Princeton Univ., NJ (USA)
OSTI ID:
5673850
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English