Localization and Fusion Modeling in Plasma Physics. Part I: Math Framework for Non-Equilibrium Hierarchies

Details Localization and Fusion Modeling in Plasma Physics. Part I: Math Framework for Non-Equilibrium Hierarchies Localization and Fusion Modeling in Plasma Physics. Part I: Math Framework for Non-Equilibrium Hierarchies

2006-03-21

arxiv.org/abs/physics/0603167v1

Physics

Plasma Physics

LaTeX2e, 32 pages, 15 figures, submitted to Proc. of 6th Symposium on Current Trends in International Fusion Research, Washing

Scientific paper

A fast and efficient numerical-analytical approach is proposed for description of complex behaviour in non-equilibrium ensembles in the BBGKY framework. We construct the multiscale representation for 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 localized pattern (waveleton) is a model for energy confinement state (fusion) in plasma.

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