The appreciation of stochastic motion in particle accelerators
A description is given of the analytic and numerical work, performed from July 1955 through August 1956, so as to develop, and then study, the process of making intense proton beams, suitable for colliding beams. It is shown how this investigation led, in a most natural way, to the realization that stochasticity can arise in a simple Hamiltonian system. Furthermore, the criterion for the onset of stochasticity was understood, and carefully studied, in two different situations. The first situation was the proposed (and subsequently used) ''stacking process'' for developing an intense beam, where stochasticity occurs as additional particles are added to the intense circulating beam. The second situation occurs when one seeks to develop ''stochastic accelerators'' in which particles are accelerated (continuously) by a collection of radio frequency systems. It was in the last connection that the well-known criterion for stochasticity, resonance overlap, was obtained.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE Director. Office of Science. Office of High Energy and Nuclear Physics. Division of High Energy Physics
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 842368
- Report Number(s):
- LBNL-55858; CBP Note - 618; R&D Project: 455301; TRN: US0503237
- Resource Relation:
- Conference: Dynamical Chaos in Classical and Quantum Physics, Budker Institute of Nuclear Physics,Novosibirsk,Russia, August 4-9, 2003
- Country of Publication:
- United States
- Language:
- English
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