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Gyrokinetic Model beyond the Standard Ordering
Author(s) -
Miyato N.
Publication year - 2016
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201610051
Subject(s) - physics , amplitude , gyrokinetics , wavelength , transformation (genetics) , phase space , kinetic energy , guiding center , center (category theory) , phase (matter) , plasma , poisson's equation , parameter space , statistical physics , classical mechanics , quantum mechanics , geometry , biochemistry , chemistry , mathematics , tokamak , gene , crystallography
An energy‐conserving reduced kinetic model is formulated which is valid for perturbations with large amplitude and long wavelength beyond the standard gyrokinetic ordering. The standard gyrokinetic model is elegantly formulated by the two‐step phase space transformation consisting of the guiding‐center and gyro‐center transformations, but the amplitude of perturbations is assumed to be small in return for use of the two‐step transformation. Besides, the wavelength of perturbations is assumed to be short in deriving the gyrokinetic Poisson equation. Both limitations are relaxed by using the modified guiding‐center 1‐form for flowing plasmas [Miyato et al., J. Phys. Soc. Jpn. 78 , 104501 (2009)]. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)