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
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;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.988044
