Abstract
This work presents a particle-core model for an inhomogeneous and mismatched nonneutral charged particle beam. The beam is azimuthally symmetric, initially cold, and is confined by an external constant magnetic field inside a cylindrical conducting pipe. The core description is based on a previous developed Lagrangian approach. The relaxation time and the phase-space topology of the particle-core model is in reasonable agreement with full self-consistent N-particle beam numerical simulations.
Highlights
During the dynamics of charged beams in confinement channels, it is observed that some beam constituent particles acquire an extra amount of energy
The results provided by the particle-core model are confronted with full self-consistent N-particle beam numerical simulations in the figures
The ordinary differential equations of the numerical simulations have been rescaled with the same scheme applied to the particle-core model
Summary
During the dynamics of charged beams in confinement channels, it is observed that some beam constituent particles acquire an extra amount of energy. The time scale of halo formation in inhomogeneous beams have been reasonably described by the time of which the first density wave breaks.[5] no information about the beam phase-space topology at equilibrium can be obtained from this approach, since the fluid model just works until the first density wave breaks. These particles from the inside of the beam are able to develop larger orbits in the phase-space during its dynamics.
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