LONG-WAVELENGTH UNSTABLE MODES IN THE FAR UPSTREAM OF RELATIVISTIC COLLISIONLESS SHOCKS
LONG-WAVELENGTH UNSTABLE MODES IN THE FAR UPSTREAM OF RELATIVISTIC COLLISIONLESS SHOCKS
The growth rate of long-wavelength kinetic instabilities arising due to the interaction of a collimated beam of relativistic particles and a cold unmagnetized plasma are calculated in the ultrarelativistic limit. For sufficiently culminated beams, all long-wavelength modes are shown to be Weibel-unstable, and a simple analytic expression for their growth …