Gyrokinetic field theory
By H. Sugama. 2000
160 citations recorded by the source corpus.
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 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. Simplified gyrokinetic systems of equations with the conserved energy are obtained from the Lagrangian with the small electron gyroradii, quasineutrality, and linear polarization–magnetization approxima...
Subfields: Aerospace Engineering, Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a7e1de2272d6d972814c9d7ff0ce9892facf30da
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Citations in the corpus
- Foundations of Nonlinear Gyrokinetic Theory (2007, methodology): “The reduced action functional for the lowfrequency gyrokinetic Vlasov-Maxwell equations Brizard, 2000b; Sugama, 2000 is Agy = − d8ZF Z H Z ;A1 ,F1 + d4x 8 2 − B 2 , 184 where H is the nonlinear gyrocenter Hamiltonian 175 , and we use the notation 1 and B B0 + A1.”