Beyond linear gyrocenter polarization in gyrokinetic theory

Abstract

The concept of polarization in gyrokinetic theory is clarified and generalized to include contributions from the guiding-center (zeroth-order) polarization as well as the nonlinear (second-order) gyrocenter polarization. The guiding-center polarization, which appears as the antecedent (zeroth-order) of the standard linear (first-order) gyrocenter polarization, is obtained from a modified guiding-center transformation. The nonlinear gyrocenter polarization is derived either variationally from the third-order gyrocenter Hamiltonian or directly by gyrocenter push-forward method.

11 pages, 1 figure

References in corpus (3)

• Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations
• Variational Principles for Reduced Plasma Physics
• Guiding-center recursive Vlasov and Lie-transform methods in plasma physics

Cited by in corpus (19)

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• Hierarchy of second-order gyrokinetic Hamiltonian models for particle-in-cell codes
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• Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory
• Canonical transformation for trapped/passing guiding-center orbits in axisymmetric tokamak geometry
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• Perturbative variational formulation of the Vlasov-Maxwell equations
• Particle and guiding-center orbits in crossed electric and magnetic fields
• Verification of Gyrokinetic codes: theoretical background and applications
• A Tale of Two Polarization Paradoxes I: the Diamagnetic Polarization Paradox