Aspects of turbulence in nonlinear systems. Year one final report, February 1-October 31, 1985

Gyrokinetic theory was developed from a pragmatic point of view. Since our interest in gyrokinetic theory is to ultimately shed some light on drift wave turbulence and anomalous transport, we have tried from the outset to incorporate into our theory some of the characteristics of these phenomena as measured in experiments. This approach has led to a theory in which two time and two space scales naturally emerge. We were also led to express the full nonlinear distribution function as an equilibrium part and pertubation part, with the equilibrium being driven by the higher order interactions of the rapid fluctuations