TITLE
	Localized Patterns and Energy Confinement in (Non) Equilibrium Ensembles
	
AUTHOR
	Michael ZEITLIN

ABSTRACT 
	An efficient numerical-analytical approach is proposed for analysis of complex 
	collective dynamics in accelerator/plasma physics models based on the full 
	hierarchy of kinetic equations (BBGKY-like systems of equations). Our calculations 
	are based on variational and multiresolution approaches in the basis of polynomial 
	tensor algebras of various localized bases. We construct the representation for 
	hierarchy of distribution functions and dynamical variables 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 the new multiscale metric structure of the whole Fock-like 
	space of all distribution functions. We demonstrate the possibility of the existence 
	of energy confinement/fusion in the small regions of the phase space (waveleton 
	configurations) [1].

	[1] A. Fedorova, M. Zeitlin, Classical and Quantum Ensembles via Multiresolution. I. 
	BBGKY Hierarchy; II. Wigner Ensembles; arXiv preprints: quant-ph/0406009, 
	quant-ph/0406010; Nuclear Inst. and Methods in Physics Research, A, 2004, in press.