Formation of Patterns and Coherent Structures in Charged Particle Beams

Details Formation of Patterns and Coherent Structures in Charged Particle Beams Formation of Patterns and Coherent Structures in Charged Particle Beams

1998-09-11

arxiv.org/abs/physics/9809018v1

Physics

Accelerator Physics

LaTeX, 9 pages

Scientific paper

In the present paper we study the long wavelength and slow time scale behavior of a coasting beam in a resonator adopting a broad-band impedance model. Based on the renormalization group approach we derive a set of coupled evolution equations for the beam envelope distribution function and the resonator voltage amplitude. The equation for the resonator voltage amplitude is further transformed into a generalized Ginzburg-Landau equation.

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