Anomalous transport from plasma waves

Abstract
One of the principle manifestations of instability in plasma is the presence of anomalous transport. The problem then is how to describe and/or predict plasma behavior when the transport is dominated by unstable plasma waves. This paper describes a systematic approach to this problem and examines what knowledge of the instability is needed. Depending on the situation, the necessary information can be as little as the stability threshold, or as much as a full nonlinear description of the turbulent spectrum, with several intermediate possibilities. In all cases, this description of the instability is used to derive a set of anomalous transport coefficients for use in a fluid formulation. Description of the plasma then comes from a numerical solution of these fluid equations. Scaling laws can often be derived from these numerical solutions, however in general, scaling laws cannot be simply derived from first principles.