Energetically-consistent collisional gyrokinetics
J. W. Burby, A. J. Brizard, and H. Qin
TL;DR
This paper develops a collisional gyrokinetic theory that preserves exact energy and momentum conservation laws, incorporating a nonlinear Landau collision operator compatible with gyroaveraging and linearization.
Contribution
It introduces a formulation of collisional gyrokinetics with exact conservation laws using a nonlinear Landau operator, maintaining these laws under common approximations.
Findings
Conservation of energy and momentum is preserved in the new formulation.
The Landau collision operator remains compatible with gyroaveraging and linearization.
The theory aligns with collisionless limits, ensuring consistency.
Abstract
We present a formulation of collisional gyrokinetic theory with exact conservation laws for energy and canonical toroidal momentum. Collisions are accounted for by a nonlinear gyrokinetic Landau operator. Gyroaveraging and linearization do not destroy the operator's conservation properties. Just as in ordinary kinetic theory, the conservation laws for collisional gyrokinetic theory are selected by the limiting collisionless gyrokinetic theory.
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