Self-similar distribution function and the production of runaway electrons

The theory of the suppression of anomalous plasma resistivity due to ion-cyclotron turbulence resulting from the formation of runaway electrons has long attracted the attention of researchers. The purpose of this communication was to describe how the approach to the asymptotic regime noted in Vekshtein, et al. occurs, and how the electron distribution is transformed as a result. It was shown that over a time much larger than that required for the temperature to double, a self-similar distribution is obtained for the bulk of the electrons. It was concluded that the self-similar distribution occurs for the bulk of the particles, followed by leakage at times much larger than the already anomalously large time t0