Nonequilibrium stationary states in the earth's magnetotail: Stochastic acceleration processes and nonthermal distribution functions

A self-consistent kinetic description of turbulent plasma and fields at the nonequilibrium stationary states (NESS's) of the Earth's magnetotail is proposed. We argue that the inherent dynamics of the NESS's is manifested in the low-frequency power law fluctuation spectrum similar to f(-1) (i.e., the flicker noise). At the higher frequencies, the fluctuation spectrum has a steeper shape similar to f(-7/3) and is related to the structural characteristics of the magnetotail turbulence. The basic dynamical processes operating at the NESS are described by a nonlinear fractional kinetic equation which includes the following principal effects: (1) stochastic particle acceleration in the turbulent magnetic field varying with time, and (2) self-interaction of the medium associated with the reproduction of the turbulent field by the energetic particles accelerated therein. We find that the particle energy distribution in presence of the self-interaction events reveals a high-energy nonthermal tail f(epsilon) proportional to epsilon(-eta). The slope of the distribution, eta, obeys the condition 6 less than or equal to 77 < 7; this reflects the fundamental dynamical properties underlying magnetic field and plasma coupling in self-organized electromagnetic systems. The results obtained are in close agreement with spacecraft observational data on the Earth's magnetotail. (C) 2002 COSPAR. Published by Elsevier Science Ltd. All rights reserved.