A Tower of Scales in Plasma Modeling: Order, Disorder, Fusion

Antonina N. Fedorova and Michael G. Zeitlin

IPME RAS, St.Petersburg, Russia

http://www.ipme.ru/zeitlin.html

http://mp.ipme.ru/zeitlin.html,

anton@math.ipme.ru

zeitlin@math.ipme.ru


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 reductions.
We construct a multiscale representation for the hierarchy of partition
functions by means of the variational approach and multiresolution
decomposition. Numerical modeling shows the creation of various internal
structures from fundamental localized (eigen)modes.
These patterns determine the behaviour of plasma. 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.