Variational formulations of exact and reduced Vlasov-Maxwell equations

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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.
20 pages, invited contribution to the Workshop on Kinetic Theory held at the Fields Institute (Toronto), March 29 - April 2, 2004

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