Equivalence of two independent calculations of the higher order guiding center Lagrangian

Abstract

The difference between the guiding center phase-space Lagrangians derived in [J.W. Burby, J. Squire, and H. Qin, Phys. Plasmas {\bf 20}, 072105 (2013)] and [F.I. Parra, and I. Calvo, Plasma Phys. Control. Fusion {\bf 53}, 045001 (2011)] is due to a different definition of the guiding center coordinates. In this brief communication the difference between the guiding center coordinates is calculated explicitly.

arXiv comment6 pages

References in corpus (2)

• Phase-space Lagrangian derivation of electrostatic gyrokinetics in general geometry
• Automation of The Guiding Center Expansion

Cited by in corpus (5)

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• Discovering exact, gauge-invariant, local energy-momentum conservation laws for the electromagnetic gyrokinetic system by high-order field theory on heterogeneous manifolds