Faithful guiding-center orbits in an axisymmetric magnetic field

Faithful guiding-center orbits in an axisymmetric magnetic field

The problem of the charged-particle motion in an axisymmetric magnetic geometry is used to assess the validity of higher-order Hamiltonian guiding-center theory, which includes higher-order corrections associated with gyrogauge invariance as well as guiding-center polarization induced by magnetic-fi...

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Veröffentlicht in:Physics of plasmas 2023-04, Vol.30 (4)
Hauptverfasser: Brizard, Alain J., Hodgeman, Brook C.
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Sprache:eng
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Angular momentum
Magnetic mirrors
Magnetic moments
Nonuniformity
Plasma physics
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Hodgeman, Brook C.
description The problem of the charged-particle motion in an axisymmetric magnetic geometry is used to assess the validity of higher-order Hamiltonian guiding-center theory, which includes higher-order corrections associated with gyrogauge invariance as well as guiding-center polarization induced by magnetic-field non-uniformity. Two axisymmetric magnetic geometries are considered: a magnetic mirror geometry and a simple tokamak geometry. When a magnetically confined charged-particle orbit is regular (i.e., its guiding-center magnetic moment is adiabatically invariant), the guiding-center approximation, which conserves both energy and azimuthal canonical angular momentum, is shown to be faithful to the particle orbit when higher-order corrections are taken into account.
doi_str_mv 10.1063/5.0145035
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source AIP Journals Complete; Alma/SFX Local Collection
subjects Angular momentum
Magnetic mirrors
Magnetic moments
Nonuniformity
Plasma physics
title Faithful guiding-center orbits in an axisymmetric magnetic field
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