Nonlinear stabilization of dissipative trapped ion instability

An analysis of the anomalous diffusion due to the dissipative trapped ion instability in a toroidal magnetic system is presented. Saturation of the instability is attained both by collisional and by anomalous detrapping of trapped ions. The method of characteristics along the perturbed orbit is used to take into account of the anomalous detrapping effect. The anomalous diffusion coefficient in the saturated state agrees with the result of Kadomtsev and Pogutse. (auth.)