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Comparison of instability theory with simulation results [electronic resource].

Published
Berkeley, Calif. : University of California, Berkeley, 1978.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
Pages: 7 : digital, PDF file
Additional Creators
University of California, Berkeley and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
For the past year and a half, a parallel effort of analytic work and simulation computations has been in progress for the purpose of understanding the nature of instabilities which arise in the transport of intense ion beams and finding safe regions of operation. The two approaches have agreed qualitatively in that simulation runs using initial conditions predicted by the linearized theory to be highly instable indeed distinctly show instability, and subsequent saturation may occur only after an increase in emittance by a factor of two or three. Since the theory predicted pronounced instability for a large number of modes concurrently, no attempt was made at a quantitative comparison. Only recently we found a combination of parameters for which the theory predicts only one unstable but rapidly growing mode, and the corresponding simulation run shows an orderly growth in the early stages (presumably the linear regime) with the expected qualitative appearance. Since the linear theory provides definite predictions of the evolution of various moments of the distribution and the distortion of the boundaries of the various two-dimensional projections of the distribution, we undertook a quantitative comparison as a means of simultaneously establishing the validity of the theory and the reliability of the simulation procedure.
Report Numbers
E 1.99:lbl-8351
lbl-8351
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Note
Published through SciTech Connect.
11/01/1978.
"lbl-8351"
Laslett, L.J.; Smith, L.; Haber, I.
Funding Information
W-7405-ENG-48
View MARC record | catkey: 14754999