Space-charge modes similar to those observed in recent experiments appear i
n simulations of nonequilibrium charged particle beams with anisotropy. The
modes couple degrees of freedom, causing energy transfer and equipartition
ing without halo formation in just a few betatron wavelengths. The rate dep
ends on a single free parameter quantifying the space-charge intensity of t
he final state. Traditional stability analyses are shown not to apply to hi
gh-intensity laboratory beams originating with a large perturbation from eq
uilibrium.