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Article overview
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Advances on the modelling of the time evolution of dynamic aperture of hadron circular accelerators | | A. Bazzani
; M. Giovannozzi
; E.H. Maclean
; C.E. Montanari
; F.F. Van der Veken
; W. Van Goethem
; | | Date: |
20 Sep 2019 | | Abstract: | Determining a model for the time scaling of the dynamic aperture of a
circular accelerator is a topic of strong interest and intense research efforts
in accelerator physics. The motivation arises in the possibility of finding a
method to reliably extrapolate the results of numerical simulations well beyond
what is currently possible in terms of CPU time. In earlier work, a proposal
for a model based on Nekhoroshev theorem and Kolmogorov--Arnold--Moser theory
was made. This model has been studied in detail and proved successful in
describing the evolution of the dynamic aperture in numerical simulations,
however, a number of shortcomings had been identified and new models are
proposed in this paper, which solve the observed issues. The new models have
been benchmarked against numerical simulations for a simple system, the 4D
H’enon map, as well as a realistic, non-linear representation of the beam
dynamics in the LHC at 6.5 TeV providing in both cases excellent results. | | Source: | arXiv, 1909.9516 | | Services: | Forum | Review | PDF | Favorites | |
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