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Author(s):
H. Sugama
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Title:
Gyrokinetic Field Theory
Date of publication:
Aug. 1999
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Key words:
gyrokinetic field theory, Lagrangian formulation
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Abstract:
The Lagrangian formulation of the gyrokinetic theory is generalized in order to describe the particles' dynamics as well as the -self-consistent behavior of the electromagnetic fields. The gyrokinetic equation for the particle distribution function and the gyrokinetic Maxwell's equations for the electromagnetic fields are both derived from the variational principle for the Lagrangian consisting of the parts of particles, fields, and their interaction. In this generalized Lagrangian formulation, the energy conservation property for the total nonlinear gyrokinetic system of equations is directly shown from the Noether's theorem. This formulation can be utilized in order to derive the nonlinear gyrokinetic system of equations and the rigorously conserved total energy for fluctuations with arbitrary frequencies.
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