Formation of Patterns and Coherent Structures in Charged Particle Beams
Accelerator Physics
2007-05-23 v1 Pattern Formation and Solitons
patt-sol
Plasma Physics
Abstract
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.
Cite
@article{arxiv.physics/9809018,
title = {Formation of Patterns and Coherent Structures in Charged Particle Beams},
author = {Stephan I. Tzenov},
journal= {arXiv preprint arXiv:physics/9809018},
year = {2007}
}
Comments
LaTeX, 9 pages