Tuesday, June 25, 2013

1306.5639 (Emmanuel Frenod et al.)

On the Geometrical Gyro-Kinetic Theory    [PDF]

Emmanuel Frenod, Mathieu Lutz
Considering a Hamiltonian Dynamical System describing the motion of charged particle in a Tokamak of a Stellarator, we build a change of coordinates to reduce it dimension. This change of coordinates is in fact an intricate succession of mappings that are built using Hyperbolic Partial Differential Equations, Differential Geometry, Hamiltonian Dynamical System Theory and Symplectic Geometry, Lie Transforms and a new tool which is here introduced : Partial Lie Sums.
View original: http://arxiv.org/abs/1306.5639

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