{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.topic/1","content_sha256":"1bcbcc957578757efb51ede5c3d4744c0ecb3b8279a4edcb6536bcfeaf70e773","created":"2026-10-03T07:17:50Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":[],"salt":"7c84e6f231324e4eb1d6a9ca8b8f599c78707eeb58af3fffdfc220a97985ac19","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"topic"},"content":{"external_id":"beams.nonlinear-dynamics","field":"beams","n":"1","review_cite":"A. Bazzani, M. Giovannozzi, E. H. Maclean et al., Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators, Physical Review Accelerators and Beams, 2019","review_link":"https://doi.org/10.1103/PhysRevAccelBeams.22.104003","review_verified":"true","summary":"Particles in a collider circle billions of times through slightly imperfect magnets, and tiny nonlinear kicks can slowly push some out. Predicting which orbits stay stable for hours from simulations of seconds is an unsolved dynamical-systems problem.","title":"Long-term stability of nonlinear particle orbits","topic_ref":null,"why":"The stable region (dynamic aperture) sets magnet field-quality tolerances and beam lifetime for the LHC, its upgrade and future colliders."},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"7c02bc0932cd39db40c654c1af162e4d605ebff51574000fcd91aa1d4d9677ff","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"396e3f13c834a1b1e144ca682823402709c374ae96c11c532f43c8a63d4cf81c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"YLTxUmRevKCWRubjHvVrUE0c77Z63NTLJy_35T11iFzaIvdgUOuLMuqTSJmmpAaMH-F_Gr2cqF9dhNP4ENqbDQ"},"schema":"pubphys.envelope/1"},"record_hash":"7c02bc0932cd39db40c654c1af162e4d605ebff51574000fcd91aa1d4d9677ff","leaf_index":70}