Vlasov equation approach to space charge effects in isochronous cyclotrons

Antoine Cerfon, J. Guadagni, O. Bühler, J. P. Freidberg, F. I. Parra

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

‣ Space-charge forces are small relative to magnetic forces by the ratio δ2 = ωp2c2 ≤ 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 languageEnglish (US)
Title of host publicationCYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications
PublisherJoint Accelerator Conferences Website (JACoW)
ISBN (Electronic)9783954501281
StatePublished - Mar 2014
Event20th International Conference on Cyclotrons and their Applications, CYCLOTRONS 2013 - Vancouver, Canada
Duration: Sep 16 2013Sep 20 2013

Publication series

NameCYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications

Conference

Conference20th International Conference on Cyclotrons and their Applications, CYCLOTRONS 2013
CountryCanada
CityVancouver
Period9/16/139/20/13

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Cerfon, A., Guadagni, J., Bühler, O., Freidberg, J. P., & Parra, F. I. (2014). Vlasov equation approach to space charge effects in isochronous cyclotrons. In 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).