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TY - CONF AU - Montanari, C.E. AU - Bazzani, A. AU - Giovannozzi, M. ED - Liu, Lin ED - Byrd, John M. ED - Neuenschwander, Regis T. ED - Picoreti, Renan ED - Schaa, Volker R. W. TI - Diffusive Models for Nonlinear Beam Dynamics J2 - Proc. of IPAC2021, Campinas, SP, Brazil, 24-28 May 2021 CY - Campinas, SP, Brazil T2 - International Particle Accelerator Conference T3 - 12 LA - english AB - 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. PB - JACoW Publishing CP - Geneva, Switzerland SP - 1976 EP - 1979 KW - hadron KW - collider KW - dynamic-aperture KW - experiment KW - beam-losses DA - 2021/08 PY - 2021 SN - 2673-5490 SN - 978-3-95450-214-1 DO - doi:10.18429/JACoW-IPAC2021-TUPAB233 UR - https://jacow.org/ipac2021/papers/tupab233.pdf ER -