Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction
Accelerator Physics
2008-11-26 v1
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.
Cite
@article{arxiv.physics/0104086,
title = {Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction},
author = {Stephan I. Tzenov and Ronald C. Davidson},
journal= {arXiv preprint arXiv:physics/0104086},
year = {2008}
}
Comments
LaTeX, 3 pages, To be presented at the Particle Accelerator Conference (PAC 2001)