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Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction

Stephan I. Tzenov·Ronald C. Davidson
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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.

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Stephan I. Tzenov, Ronald C. Davidson. 2001-04-27. Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction. https://arxiv.org/abs/physics/0104086

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