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Title: The appreciation of stochastic motion in particle accelerators

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director. Office of Science. Office of High Energy and Nuclear Physics. Division of High Energy Physics
OSTI Identifier:
842368
Report Number(s):
LBNL-55858; CBP Note - 618
R&D Project: 455301; TRN: US0503237
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Conference
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
Subject:
43 PARTICLE ACCELERATORS; ACCELERATORS; COLLIDING BEAMS; HAMILTONIANS; NUCLEAR PHYSICS; PHYSICS; PROTON BEAMS; RESONANCE

Citation Formats

Symon, Keith, and Sessler, Andrew. The appreciation of stochastic motion in particle accelerators. United States: N. p., 2003. Web.
Symon, Keith, & Sessler, Andrew. The appreciation of stochastic motion in particle accelerators. United States.
Symon, Keith, and Sessler, Andrew. Sun . "The appreciation of stochastic motion in particle accelerators". United States. https://www.osti.gov/servlets/purl/842368.
@article{osti_842368,
title = {The appreciation of stochastic motion in particle accelerators},
author = {Symon, Keith and Sessler, Andrew},
abstractNote = {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.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2003},
month = {8}
}

Conference:
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