Advances on the modelling of the time evolution of dynamic aperture of hadron circular accelerators
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.
Keywords
Cite
@article{arxiv.1909.09516,
title = {Advances on the modelling of the time evolution of dynamic aperture of hadron circular accelerators},
author = {A. Bazzani and M. Giovannozzi and E. H. Maclean and C. E. Montanari and F. F. Van der Veken and W. Van Goethem},
journal= {arXiv preprint arXiv:1909.09516},
year = {2019}
}