Variational formulations of exact and reduced Vlasov-Maxwell equations

Physics – Plasma Physics

Scientific paper

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20 pages, invited contribution to the Workshop on Kinetic Theory held at the Fields Institute (Toronto), March 29 - April 2, 2

Scientific paper

The foundations of gyrokinetic theory are reviewed with an emphasis on the
applications of Lagrangian and Hamiltonian methods used in the derivation of
nonlinear gyrokinetic Vlasov-Maxwell equations. These reduced dynamical
equations describe the turbulent evolution of low-frequency electromagnetic
fluctuations in nonuniform magnetized plasmas with arbitrary magnetic geometry.

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