Bulletin of the American Physical Society
64th Annual Meeting of the APS Division of Plasma Physics
Volume 67, Number 15
Monday–Friday, October 17–21, 2022; Spokane, Washington
Session TP11: Poster Session VII: In-Person, Hall A (9:30-11:00am) and Virtual Poster Presentations (11:15am-12:30pm)
MFE: FRC, RFPs etc
ICF: Fast Ignition; Diagnostics; Computational; Laser Plasma Interactions
FUND: Computation
9:30 AM - 12:30 PM
Thursday, October 20, 2022
Room: Exhibit Hall A and Online
Abstract: TP11.00120 : Bracket Structure for Gyrokinetic Theory
Presenter:
Bruce D Scott
(Max Planck Institute for Plasma Physics)
Author:
Bruce D Scott
(Max Planck Institute for Plasma Physics)
dynamics in canonical form has a structure very close to the one for
the kinetic plasma under Maxwell's equations. All of the basic theorems
result, especially energy and momentum conservation. In the gyrokinetic
case, the conserved momentum is toroidal angular momentum. Any
complication due to extra finite gyroradius or finite field amplitude is
automatically included in this description because there is no change to
the underlying structure. The equation for the gyrocenters is readily
put into the form of a four-dimensional phase space Poisson bracket.
The main complication is that the coefficients are not constant, though
a model geometry can be constructed under conventional tokamak ordering
which reduces to two two-dimensional brackets with constant coefficients.
The procedure by which a phase-space test function is used to construct
Lie-Poisson functional brackets is given, and the Jacobi identity is
proved using the same index manipulation by which the four-bracket is
constructed in the first place. Progress in further exploration of the
Hamiltonian field theory structure is given.
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