Solitary Waves on a Coasting High-Energy Stored Beam

Details Solitary Waves on a Coasting High-Energy Stored Beam Solitary Waves on a Coasting High-Energy Stored Beam

1998-08-24

arxiv.org/abs/physics/9808032v1

Physics

Accelerator Physics

LaTeX, 13 pages, 4 postscript figures included

Scientific paper

In this work we derive evolution equations for the nonlinear behavior of a coasting beam under the influence of a resonator impedance. Using a renormalization group approach we find a set of coupled nonlinear equations for the beam density and the resonator voltage. Under certain conditions, these may be analytically solved yielding solitary wave behavior, even in the presence of significant dissipation in the resonator. We find long-lived perturbations, i.e. droplets, which separate from the beam and decelerate towards a quasi-equilibrium state, in good agreement with simulation results.

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