dorsal/arxiv
View SchemaFormation of Patterns and Coherent Structures in Charged Particle Beams
| Authors | Stephan I. Tzenov |
|---|---|
| Categories | |
| ArXiv ID | physics/9809018 |
| URL | https://arxiv.org/abs/physics/9809018 |
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.
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"abstract": "In the present paper we study the long wavelength and slow time scale\nbehavior of a coasting beam in a resonator adopting a broad-band impedance\nmodel. Based on the renormalization group approach we derive a set of coupled\nevolution equations for the beam envelope distribution function and the\nresonator voltage amplitude. The equation for the resonator voltage amplitude\nis further transformed into a generalized Ginzburg-Landau equation.",
"arxiv_id": "physics/9809018",
"authors": [
"Stephan I. Tzenov"
],
"categories": [
"physics.acc-ph",
"nlin.PS",
"patt-sol",
"physics.plasm-ph"
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"title": "Formation of Patterns and Coherent Structures in Charged Particle Beams",
"url": "https://arxiv.org/abs/physics/9809018"
},
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