CYCLOTRONS-2001, Abstract 4

Fedorova A.N., Zeitlin M.G.

BEAM-BEAM MODELLING VIA MULTIRESOLUTION

We present applications of methods from nonlinear local Fourier analysis or wavelet analysis to modelling of beam-beam interaction. Our approach is based on methods provided possibility to work with dynamical beam localization in phase space. Consideration of Fokker-Planck or Langevin dynamics 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 nonlinear dynamics. Then we may calculate contribution to full dynamics (partition function) from all underlying subscales. As main example we consider modelling of beam-beam interaction in A.Chao e.a. model [1]-[3].

[1]A.Fedorova,M.Zeitlin,EPAC00,415,872,1101,1190, 1339,2325.
[2].A.Fedorova,M.Zeitlin,PAC99,1614,1617,1620, 2900,2903,2906,2909,2912.
[3].A.Fedorova,M.Zeitlin, Capri00 Proc., Los Alamos preprint:physics/0101007