Dynamics near equilibrium for intense beams in a nonlinear integrable focusing channel
- Author(s): Mitchell, C
- Hwang, K
- Ryne, R
- et al.
Published Web Locationhttps://doi.org/10.1088/1748-0221/15/07/P07019
Accelerator storage ring designs based on nonlinear integrable Hamiltonian systems provide a novel test-bed for studying the interplay between nonlinear dynamics and space charge at high intensity. In this work, the structure of beam Vlasov equilibria is explored for a constant focusing channel based on the nonlinear focusing potential of the Integrable Optics Test Accelerator. The dynamics of the single-particle orbits is explored in the combined space charge and external focusing fields as a function of beam current, and the self-consistent relaxation of a mismatched beam to equilibrium is characterized.