Powerlaw energy spectrum and orbital stochasticity
Abstract
The powerlaw energy distributions are observed in space and fusion plasmas. The power law decay of the twotime velocity correlation function and the corresponding frequency spectrum of the correlation function are shown to be related to the power law distribution of the time interval of acceleration, which produces a powerlaw energy distribution. In particular, the two time correlation function, the distribution of acceleration duration, (namely the distribution of the trapping time of the quasitrapped orbits in the vicinity of the magnetic null such as the geomagnetic tail configurations) are shown to produce a power law energy distribution function. The statistical property is applicable under conditions given here to the energy spectra of cosmic rays, electrons in laserplasma interaction, and the radiofrequency heated confined plasmas.
 Publication:

Unknown
 Pub Date:
 June 1991
 Bibcode:
 1991ples.rept.....M
 Keywords:

 Energy Distribution;
 Energy Spectra;
 Fusion;
 Orbits;
 Particle Acceleration;
 Plasma Control;
 Space Plasmas;
 Statistical Correlation;
 Stochastic Processes;
 Cosmic Rays;
 Distribution Functions;
 Electrons;
 Frequency Distribution;
 Geomagnetic Tail;
 Laser Plasma Interactions;
 Time Functions;
 Plasma Physics