HEACC-2001, Abstract 4

Fedorova A.N., Zeitlin M.G.

MULTIRESOLUTION REPRESENTATION FOR MODELLING OF FOKKER-PLANCK DYNAMICS

We present applications of methods from nonlinear(local) harmonic analysis or wavelet analysis to a number of nonlinear accelerator physics problems. This is continuation of our results which were presented on PAC97/99,EPAC98/00. Our approach is based on methods provided possibility to work with well-localized in phase space bases, which gives the most sparse representation for the general type of operators and good convergence properties. 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.