Abstract
This paper analyses the dynamics of inhomogeneous, magnetically focused high-intensity beams of
charged particles. In homogeneous beams the whole system oscillates with a single frequency. When
inhomogeneities are added, each fluid element of the beam acquires its own oscillatory frequency. Distinct
fluid elements will then eventually move out-of-phase overshooting each other, at which point density will
be singularly compressed. Particles become trapped by the high-intensity fields and some are ejected
from the wave front in the form of high-speed jets. We find out that there is
no threshold for this wave breaking mechanism that debunks the fluid scenario and is arrested when
kinetic effects like emittance growth saturate the process. The final state is that of a cold fluid surrounded
by a hot halo of higher energy particles.
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