The possibility of using intense relativistic electron beams (REBs) for heating
plasmas in open systems is discussed. Within this context the following three sets of
problems are discussed:
REB transport in a vacuum with a strong magnetic field; beam equilibrium,
stability and critical currents in a vacuum.
Beam transport in a plasma; charge and current neutralization of the beam;
reverse-current heating of the plasma, and macroscopic REB instabilities in the
plasma.
The theory of collective relaxation of REBs in a plasma, including
quasi-linear and non-linear relaxation models; the role of plasma
non-uniformity, and macroscopic effects during REB relaxation.