@inproceedings{520c512be1b34ccbb83ce7c43258aee4,

title = "Vlasov equation approach to space charge effects in isochronous cyclotrons",

abstract = "‣ Space-charge forces are small relative to magnetic forces by the ratio δ2 = ωp2/ωc2 ≤ 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",

author = "Antoine Cerfon and J. Guadagni and O. B{\"u}hler and Freidberg, {J. P.} and Parra, {F. I.}",

note = "Publisher Copyright: {\textcopyright} 2014 Joint Accelerator Conferences Website (JACoW). All rights reserved.; 20th International Conference on Cyclotrons and their Applications, CYCLOTRONS 2013 ; Conference date: 16-09-2013 Through 20-09-2013",

year = "2014",

month = mar,

language = "English (US)",

series = "CYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications",

publisher = "Joint Accelerator Conferences Website (JACoW)",

booktitle = "CYCLOTRONS 2013 - Proceedings of the 20th International Conference on Cyclotrons and their Applications",

}