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@inproceedings{montanari:ipac2021-tupab233,
author = {C.E. Montanari and A. Bazzani and M. Giovannozzi},
title = {{Diffusive Models for Nonlinear Beam Dynamics}},
booktitle = {Proc. IPAC'21},
pages = {1976--1979},
eid = {TUPAB233},
language = {english},
keywords = {hadron, collider, dynamic-aperture, experiment, beam-losses},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-TUPAB233},
url = {https://jacow.org/ipac2021/papers/tupab233.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB233},
abstract = {{Diffusive models for representing the nonlinear beam dynamics in a circular accelerator ring have been developed in recent years. The novelty of the work presented here with respect to older approaches is that the functional form of the diffusion coefficient is derived from the time stability estimate of the Nekhoroshev theorem. In this paper, we discuss the latest results obtained for simple models of nonlinear betratron motion.}},
}