Comment on “Geometric phase of the gyromotion for charged particles in a time-dependent magnetic field” [Phys. Plasmas 18, 072505 (2011)] | Zendy

Alain J. Brizard | Zendy; Loïc de Guillebon | Zendy

Open Access

Comment on “Geometric phase of the gyromotion for charged particles in a time-dependent magnetic field” [Phys. Plasmas 18, 072505 (2011)]

Author(s) -

Alain J. Brizard,

Loïc de Guillebon

Publication year - 2012

Publication title -

physics of plasmas

Language(s) - English

Resource type - Journals

eISSN - 1089-7674

pISSN - 1070-664X

DOI - 10.1063/1.4748568

Subject(s) - physics , magnetic field , plasma , classical mechanics , geometric phase , charged particle , field (mathematics) , motion (physics) , phase (matter) , ion , quantum mechanics , mathematics , pure mathematics

The geometric analysis of the gyromotion for charged particles in a time-dependent magnetic field by Liu and Qin [Phys. Plasmas 18, 072505 (2011)] is reformulated in terms of the spatial angles that represent the instantaneous orientation of the magnetic field. This new formulation, which includes the equation of motion for the pitch angle, clarifies the decomposition of the gyroangle-averaged equation of motion for the gyrophase into its dynamic and geometric contributions.

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