Successful operation of a Heavy Ion Fusion driver requires knowledge of how
the beam responds to various perturbations from equilibrium. Recently, sim
ulations and experiments have verified predictions that space-charge-domina
ted beams can carry waves, observable as modulations in the particle densit
y and temperature. Self-consistent simulations using the particle-in-cell c
ode WARP explore the evolution and scaling of space charge modes, both in l
inear and circular machines. Examples of phenomena where these collective m
odes play a critical role are provided. In circular focusing arrays, the mo
des resonate when driven by lattice errors, at frequencies which depend on
the space charge intensity. Collective modes are shown to lead to emittance
exchange and energy equipartitioning in an anisotropic system. Scaling rel
ations are determined for some of these effects. (C) 2001 Elsevier Science
B.V, All rights reserved.