Collective instabilities and halo formation of space-charge dominated beams in a particle beam nonlinear-dynamics approach

Conference · Tue Aug 01 00:00:00 EDT 2000

OSTI ID:760456

Ng, K. Y. ^[1]

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1. 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 Lab. (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 760456
• Report Number(s): FERMILAB-CONF-99-384-T; oai:inspirehep.net:532144; TRN: US0004513
• Resource Relation: Other Information: PBD: 23 Aug 2000
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
PARTICLE BEAMS
BOLTZMANN-VLASOV EQUATION
DYNAMICS
HADRONS
SPACE CHARGE
PARAMETRIC INSTABILITIES
HAMILTONIANS