Oscillating Coulomb chain in a storage ring

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics Volume 67 Issue 4 published_at 2003-04-11
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Title ( eng )
Oscillating Coulomb chain in a storage ring
Creator
Yuri Yosuke
Okabe Kota
Source Title
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume 67
Issue 4
Abstract
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.
Language
eng
Resource Type journal article
Publisher
American Physical Society
Date of Issued 2003-04-11
Rights
Copyright (c) 2003 American Physical Society.
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1539-3755
[DOI] 10.1103/PhysRevE.67.046501
[NCID] AA11558033
[DOI] http://dx.doi.org/10.1103/PhysRevE.67.046501