DocumentCode
378094
Title
Application of scaling properties of the Vlasov and Fokker-Planck equations to improved macroparticle models
Author
MacLachlan, J.A.
Author_Institution
Fermi Nat. Accel. Lab., Batavia, IL, USA
Volume
4
fYear
2001
fDate
2001
Firstpage
3180
Abstract
There are two important partial differential equations (PDE´s) which describe the evolution of phase space density distributions (denoted ψ) for beams in cyclic accelerators and storage rings. The Vlasov equation applies when the forces are derivable from a potential
Keywords
Fokker-Planck equation; Vlasov equation; beam handling techniques; cyclic accelerators; partial differential equations; particle accelerators; storage rings; Fokker-Planck equations; Vlasov equations; beam handling; cyclic accelerators; macroparticle models; partial differential equations; particle accelerators; phase space density distributions; scaling properties; storage rings; Acceleration; Cooling; Differential equations; Frequency domain analysis; Partial differential equations; Particle beams; Sampling methods; Storage rings; Tracking; Writing;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location
Chicago, IL
Print_ISBN
0-7803-7191-7
Type
conf
DOI
10.1109/PAC.2001.988044
Filename
988044
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