## Abstract

The formation and control of stable multiphase space hole structures and the associated Bernstein-Greene-Kruskal modes in trapped pure ion plasmas driven by an oscillating, chirped frequency perturbation are considered. The holes are formed by passing kinetic bounce resonances ωd =nπ uL in the system, u and L are the longitudinal velocity of the plasma species and the length of the trap, and n is the multiplicity of the resonance (the number of the phase space holes). An adiabatic, quasi-one-dimensional water bag model of this excitation for an initially flat-top distribution of the ions in the trap is suggested, based on the isomorphism with a related problem in infinite quasineutral plasmas. A multiwater bag approach allows us to generalize the theory to other initial distributions. Numerical simulations yield a very good agreement with the theory until the coherent phase space structure is destroyed due to the resonance overlap when the decreasing driving frequency passes a critical value estimated within the water bag theory.

Original language | American English |
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Article number | 082110 |

Journal | Physics of Plasmas |

Volume | 15 |

Issue number | 8 |

DOIs | |

State | Published - 2008 |

### Bibliographical note

Funding Information:This work was supported by the Israel Science Foundation (Grant No. 1080/06).