Some aspects of plasma kinetic theory: energetic particle physics; renormalization theory; anomalous electron transport in tokamaks.

摘要

This dissertation discusses three special topics of collisionless plasma kinetic theory and their applications pertinent to high-temperature magnetic confinement experiments oriented to nuclear fusion research.; The first special topic is the energetic particle physics. Appropriate equations are derived from first principles and applied to mirror configurations. A significant contribution is the prediction of a diamagnetic limit due to negative energy precessional waves. Discussion is given on whether experiments exist that violate this stability limit.; The major theme of the second special topic is the construction of a set of rigorous formal systematology for nonlinear Vlasov equation with electromagnetic interactions in order to produce a renormalized perturbation theory to arbitrary higher order. This systematology makes it possible to clarify some ambiguities of previous theories as well as to improve a few aspects of calculational techniques.; The last topic of the dissertation is the theoretical study of anomalous electron energy transport in tokamak. In combination with phenomenological analysis, a formula for local electron energy transport coefficient is proposed on the theoretical basis for strong microturbulence on the scale of the electromagnetic skin depth. The transport consequences of this formula are found in good agreement with a variety of tokamak experiments. Attempts have also been made to derive such a formula from first principle to clarify the underlying mechanism. Thus far these approaches have not proved to be successful.