Energetically-consistent collisional gyrokinetics

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.

5 pages, v2

References in corpus (2)

• Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory
• A general theory for gauge-free lifting

Cited by in corpus (14)

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• A Collision Operator for Describing Dissipation in Noncanonical Phase Space
• Collisional Gyrokinetics Teases the Existence of Metriplectic Reduction
• Metriplectic foundations of gyrokinetic Vlasov-Maxwell-Landau theory
• The Eulerian variational formulation of the gyrokinetic system in general spatial coordinates
• Scattering Theory in Noncanonical Phase Space: A Drift-Kinetic Collision Operator for Weakly Collisional Plasmas
• The initial value problem in Lagrangian drift kinetic theory