Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators

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...

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Main Authors: A. Bazzani, M. Giovannozzi, E. H. Maclean, C. E. Montanari, F. F. Van der Veken, W. Van Goethem
Format: Article
Language:English
Published: American Physical Society 2019-10-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.22.104003
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spelling doaj-78508d26b87d44529456eed53a043e712020-11-25T01:18:41ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882019-10-01221010400310.1103/PhysRevAccelBeams.22.104003Advances on the modeling of the time evolution of dynamic aperture of hadron circular acceleratorsA. BazzaniM. GiovannozziE. H. MacleanC. E. MontanariF. F. Van der VekenW. Van GoethemDetermining 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 Hénon 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.http://doi.org/10.1103/PhysRevAccelBeams.22.104003
collection DOAJ
language English
format Article
sources DOAJ
author A. Bazzani
M. Giovannozzi
E. H. Maclean
C. E. Montanari
F. F. Van der Veken
W. Van Goethem
spellingShingle A. Bazzani
M. Giovannozzi
E. H. Maclean
C. E. Montanari
F. F. Van der Veken
W. Van Goethem
Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators
Physical Review Accelerators and Beams
author_facet A. Bazzani
M. Giovannozzi
E. H. Maclean
C. E. Montanari
F. F. Van der Veken
W. Van Goethem
author_sort A. Bazzani
title Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators
title_short Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators
title_full Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators
title_fullStr Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators
title_full_unstemmed Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators
title_sort advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators
publisher American Physical Society
series Physical Review Accelerators and Beams
issn 2469-9888
publishDate 2019-10-01
description 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 Hénon 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.
url http://doi.org/10.1103/PhysRevAccelBeams.22.104003
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