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Title: On the validity of the guiding-center approximation in the presence of strong magnetic gradients

The motion of a charged particle in a nonuniform straight magnetic field with a constant magnetic-field gradient is solved exactly in terms of elliptic functions. The connection between this problem and the guiding-center approximation is discussed. Here, it is shown that, for this problem, the predictions of higher-order guiding-center theory agree very well with the orbit-averaged particle motion and hold well beyond the standard guiding-center limit $$\epsilon$$ $$\equiv$$ p/L << 1, where p is the gyromotion length scale and L is the magnetic-field gradient length scale.
Authors:
ORCiD logo [1]
  1. Saint Michael's College, Colchester, VT (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
SC0014032
Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 4; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Research Org:
Saint Michael's College, Colchester, VT (United States). Dept. of Physics
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
OSTI Identifier:
1465758
Alternate Identifier(s):
OSTI ID: 1361830

Brizard, Alain J. On the validity of the guiding-center approximation in the presence of strong magnetic gradients. United States: N. p., Web. doi:10.1063/1.4981217.
Brizard, Alain J. On the validity of the guiding-center approximation in the presence of strong magnetic gradients. United States. doi:10.1063/1.4981217.
Brizard, Alain J. 2017. "On the validity of the guiding-center approximation in the presence of strong magnetic gradients". United States. doi:10.1063/1.4981217. https://www.osti.gov/servlets/purl/1465758.
@article{osti_1465758,
title = {On the validity of the guiding-center approximation in the presence of strong magnetic gradients},
author = {Brizard, Alain J.},
abstractNote = {The motion of a charged particle in a nonuniform straight magnetic field with a constant magnetic-field gradient is solved exactly in terms of elliptic functions. The connection between this problem and the guiding-center approximation is discussed. Here, it is shown that, for this problem, the predictions of higher-order guiding-center theory agree very well with the orbit-averaged particle motion and hold well beyond the standard guiding-center limit $\epsilon$ $\equiv$ p/L << 1, where p is the gyromotion length scale and L is the magnetic-field gradient length scale.},
doi = {10.1063/1.4981217},
journal = {Physics of Plasmas},
number = 4,
volume = 24,
place = {United States},
year = {2017},
month = {4}
}