Oscillating Coulomb chain in a storage ring | Zendy

H. Okamoto | Zendy; Yosuke Yuri | Zendy; Kota Okabe | Zendy

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Oscillating Coulomb chain in a storage ring

Author(s) -

H. Okamoto,

Yosuke Yuri,

Kota Okabe

Publication year - 2003

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.67.046501

Subject(s) - physics , coulomb , storage ring , oscillation (cell signaling) , lattice (music) , dispersion relation , classical mechanics , beam (structure) , angular momentum , equations of motion , chain (unit) , dispersion (optics) , condensed matter physics , mechanics , quantum electrodynamics , quantum mechanics , electron , optics , biology , acoustics , genetics

The dynamic behavior of a bunched one-dimensional crystalline beam is studied theoretically. It is shown that, owing to the existence of momentum dispersion, a Coulomb chain traveling in a storage ring performs a complex periodic oscillation whenever it is exposed to a longitudinal radio-frequency force. The equations of motion are derived to predict the oscillation pattern in an arbitrary lattice structure. The validity of the present theory is confirmed through multiparticle simulations. Various features of an oscillating string beam, such as the lattice-parameter dependence of the orbit, the stability, and critical line density, etc., are also discussed.

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