ICAP-2002 Abstracts and Posters

ICAP 2002 Abstracts and Posters

Localization and Pattern Formation in Kinetics Models

Abstract

Fast and efficient numerical-analytical approach is proposed for modeling complex collective dynamics in accelerator/plasma physics models based on hierarchy of kinetic equations (BBGKY-like systems of equations). Our calculations are based on variational and multiresolution approaches in the bases of polynomial tensor algebras of different wavelets families [1]. We construct the representation for hierarchy of reduced distribution functions via the exact multiscale decomposition in high-localized nonlinear eigenmodes. The corresponding cut-off of infinite hierarchy, reductions to finite dimensional subsets and accuracy of calculations are based on metric structure in the whole space of all distribution functions. Numerical modeling shows the creation of different internal coherent structures from localized modes, which are related to stable/unstable type of behaviour and corresponding patterns (waveletons) formation.
1. Proc. EPAC02, pp.1323,1344,1434,1482,1595, Paris, 2002 or arXiv preprints, physics/0206053,0206052,0206051,0206050,0206049,0206054; nlin.PS/0206024

Antonina N. Fedorova, Michael G. Zeitlin

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