Modelling of beam-beam effects in multiscales

A.N. Fedorova, M.G. Zeitlin
PACS2001. Proceedings of the 2001 Particle Accelerator Conference (Cat. No.01CH37268)  
We present the applications of nonlinear local harmonic analysis methods to the modelling of beam-beam interaction. Our approach is based on methods provided the possibility to work with dynamical beam localization in phase space. The consideration of Fokker-Planck or Vlasov-Maxwell models is based on a number of anzatzes, which reduce initial problems to a number of dynamical systems (with constraints) and on variational-wavelet approach to polynomial/rational approximations for reduced
more » ... for reduced nonlinear dynamics. We calculate contribution to full dynamics (partition function) from all underlying subscales via nonlinear eigenmodes decomposition.
doi:10.1109/pac.2001.987189 fatcat:lowjboalkbajzpmmx2waoj7lne