Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method

Emmanuel Frénod, Francesco Salvarani, Eric Sonnendrucker

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic state, we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution.

Original languageEnglish
Pages (from-to)175-197
Number of pages23
JournalMathematical Models and Methods in Applied Sciences
Volume19
Issue number2
DOIs
StatePublished - Feb 2009
Externally publishedYes

Keywords

  • Homogenization
  • Kinetic equations
  • Two-scale PIC method
  • Two-scaleconvergence
  • Vlasov-Poissonsystem

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