Berlin 2018 – scientific program
DY 83.8: Talk
Friday, March 16, 2018, 12:00–12:15, BH-N 333
A Tower of Scales in Ensemble Modeling: Order, Disorder, Fusion — Antonina N. Fedorova and •Michael G. Zeitlin — Russia, 199178, St.Petersburg, V.O. Bolshoj pr., 61, IPME RAS, Mathematical Methods in Mechanics Group
A fast and efficient numerical-analytical approach is proposed for the description of complex behaviour in non-equilibrium ensembles both in the BBGKY framework and in a number of its (Vlasov-Poisson/Maxwell-like) reductions. We construct a multiscale representation for the hierarchy of partition functions by means of the variational approach and multiresolution decomposition. Modeling shows the creation of various internal structures from fundamental localized (eigen)modes. These patterns determine the behaviour of ensembles. The Waveleton, localized (meta) stable long-living pattern with minimal entropy and zero measure, is proposed as a possible model for the energy confinement state (the fusion state) in plasma.