### Abstract

‣ Space-charge forces are small relative to magnetic forces by the ratio δ^{2} = ω_{p}^{2}/ω_{c}^{2} ≤ 1 ‣ The scale separation between betatron and space charge time scales can be advantageously used to reduce the complexity of kinetic calculations and reduce computational time ‣ When the mismatch amplitude is small by δ compared to the typical size of the beam, a fluid model of the beam can be rigourously derived from the Vlasov equation ‣ In the fluid model, beam spiraling is a consequence of the advection of the beam in the E × B velocity field ‣ Bunches behave like isolated vortex distributions in the 2D incompressible Euler equations ‣ This physical picture is in quantitative agreement with PIC simulations

Original language | English (US) |
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Title of host publication | CYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications |

Publisher | Joint Accelerator Conferences Website (JACoW) |

ISBN (Electronic) | 9783954501281 |

State | Published - Mar 2014 |

Event | 20th International Conference on Cyclotrons and their Applications, CYCLOTRONS 2013 - Vancouver, Canada Duration: Sep 16 2013 → Sep 20 2013 |

### Publication series

Name | CYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications |
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### Conference

Conference | 20th International Conference on Cyclotrons and their Applications, CYCLOTRONS 2013 |
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Country | Canada |

City | Vancouver |

Period | 9/16/13 → 9/20/13 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*CYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications*(CYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications). Joint Accelerator Conferences Website (JACoW).