| Thesis | |
| Report number | CERN-THESIS-2019-383 |
| Title | Diffusive approach for non-linear beam dynamics in a circular accelerator |
| Author(s) | Montanari, Carlo Emilio (Bologna U.) |
| Publication | 135. |
| Thesis note | Master : Bologna U. : 2019 |
| Thesis supervisor(s) | Bazzani, Armando ; Giovannozzi, Massimo |
| Note | Presented 25 Oct 2019 |
| Subject category | Accelerators and Storage Rings ; Mathematical Physics and Mathematics |
| Abstract | In the design phase and simulation of a circular accelerator, it is fundamental to have a proper understanding of the single-particle non-linear betatronic motion, and of how such dynamics interfere with beam quality. In this work we study stochastically-perturbed Hamiltonian systems using a diffusive framework, based on the Fokker-Plank equation. This study is then applied to the analysis of the non-linear betatronic motion and to the Dynamic Aperture problem. In particular, we lay down the basis for formulating an interpolation procedure for Nekhoroshev-like diffusive processes and we pro-pose an experimental procedure for measuring the local diffusive behaviour inside an accelerator. Dynamic Aperture is a key quantity for the long-term behaviour of an accelerator. However, the measure of this quantity via simulation presents serious computational difficulties. Because of that it is in our interest to develop a functional law which models the DA time-dependence. |
Email contact: [email protected]
Δημιουργία εγγραφής 2020-08-17, τελευταία τροποποίηση 2020-09-28
