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- W4301351503 abstract "We use an effective Hamiltonian to characterize particle dynamics and find escape rates in a periodically kicked Hamiltonian. We study a model of particles in storage rings that is described by a chaotic symplectic map. Ignoring the resonances, the dynamics typically has a finite region in phase space where it is stable. Inherent noise in the system leads to particle loss from this stable region. The competition of this noise with radiation damping, which increases stability, determines the escape rate. Determining this `aperture' and finding escape rates is therefore an important physical problem. We compare the results of two different perturbation theories and a variational method to estimate this stable region. Including noise, we derive analytical estimates for the steady-state populations (and the resulting beam emittance), for the escape rate in the small damping regime, and compare them with numerical simulations." @default.
- W4301351503 created "2022-10-05" @default.
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- W4301351503 date "2017-07-28" @default.
- W4301351503 modified "2023-09-27" @default.
- W4301351503 title "Finding stability domains and escape rates in kicked Hamiltonians" @default.
- W4301351503 doi "https://doi.org/10.48550/arxiv.1707.09336" @default.
- W4301351503 hasPublicationYear "2017" @default.
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