Long-term stability of nonlinear particle orbits
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.
Why it matters
The stable region (dynamic aperture) sets magnet field-quality tolerances and beam lifetime for the LHC, its upgrade and future colliders.
Review
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. https://doi.org/10.1103/PhysRevAccelBeams.22.104003 reference checked
Timestamp record
- Signed record
- 7c02bc0932cd…
- Public log
- Entry 70, in checkpoint 2,123
- In the log by
- Block 969,698, 2026-10-03
This text was in the PubPhys log by that date. The date says nothing about when the problem was first posed.