### Abstract

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 language | English (US) |
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Article number | 046402 |

Pages (from-to) | 046402-1-046402-9 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 69 |

Issue number | 4 2 |

State | Published - Apr 1 2004 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

Spektor, R., & Choueiri, E. Y. (2004). Ion acceleration by beating electrostatic waves: Domain of allowed acceleration.

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,*69*(4 2), 046402-1-046402-9. [046402].