Ion acceleration by beating electrostatic waves: Domain of allowed acceleration

R. Spektor, E. Y. Choueiri

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The conditions for the acceleration of a magnetized ion through a nonlinear interaction with a pair of beating electrostatic waves were investigated. The necessary and sufficient conditions for the acceleration were described in terms of the location of the critical points of the motion on the Poincaŕe section. The location of the critical points was approximated and the domains of the allowed and forbidden acceleration was defined using a second-order perturbation analysis. The results shows that for an ion to be energized, the Hamiltonian is outside the energy barrier that is defined by the location of the elliptic and hyperbolic critical points.

Original languageEnglish (US)
Article number046402
Pages (from-to)046402-1-046402-9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4 2
StatePublished - Apr 2004

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability


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