Collective instabilities and halo formation of space-charge dominated beams in a particle beam nonlinear-dynamics approach
Conference
·
OSTI ID:760456
- Fermilab; Fermilab
Nonlinear dynamics deals with parametric resonances and diffusion, which are usually beam-intensity independent and rely on a particle Hamiltonian. Collective instabilities deal with beam coherent motion, where the Vlasov equation is frequently used in conjunction with a beam-intensity dependent Hamiltonian. The authors address the questions: Are the two descriptions the same? Are collective instabilities the results of encountering parametric resonances whose driving force is intensity dependent? The space-charge dominated beam governed by the Kapchinskij-Vladimirskij (K-V) envelope equation is used as an example.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 760456
- Report Number(s):
- FERMILAB-CONF-99-384-T; oai:inspirehep.net:532144
- Country of Publication:
- United States
- Language:
- English
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