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arXiv.org e-Print Archive
Preprint . 2001
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https://doi.org/10.1109/pac.20...
Article . 2002 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2001
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https://dx.doi.org/10.1109/pac...
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https://dx.doi.org/10.1109/pac...
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Macroscopic fluid approach to the coherent beam-beam interaction

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 13 Nov 2002Embargo end date: 01 Apr 2001Publisher:IEEEJournal:PACS2001. Proceedings of the 2001 Particle Accelerator Conference (Cat. No.01CH37268), volume 3, pages 2,078-2,080
Authors: Tzenov, Stephan I.; Davidson, Ronald C.;

doi: 10.1109/pac.2001.987282 , 10.48550/arxiv.physics/0104086

arXiv: physics/0104086

Macroscopic fluid approach to the coherent beam-beam interaction

Abstract

Building on the Radon transform of the Vlasov-Poisson equations, a macroscopic fluid model for the coherent beam-beam interaction has been developed. It is shown that the Vlasov equation, expressed in action-angle variables, can be reduced to a closed set of hydrodynamic (fluid) equations for the beam density and current velocity. The linearized one dimensional equations have been analysed, and explicit expressions for the coherent beam-beam tuneshifts are presented.

LaTeX, 3 pages, To be presented at the Particle Accelerator Conference (PAC 2001)

Related Organizations
Keywords

Accelerator Physics (physics.acc-ph), FOS: Physical sciences, Physics - Accelerator Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Top 10%
Average
Green