Gyrokinetic magnetohydrodynamics and the associated equilibria
Abstract
The gyrokinetic magnetohydrodynamic (MHD) equations, related to the recent paper by W. W. Lee, and their associated equilibria properties are discussed. This set of equations consists of the timedependent gyrokinetic vorticity equation, the gyrokinetic parallel Ohm's law, and the gyrokinetic Ampere's law as well as the equations of state, which are expressed in terms of the electrostatic potential, Φ, and the vector potential, A, and support both spatially varying perpendicular and parallel pressure gradients and the associated currents. The corresponding gyrokinetic MHD equilibria can be reached when Φ → 0 and A becomes constant in time, which, in turn, gives ∇· (J_{∥}+J_{⊥}) = 0 and the associated magnetic islands, if they exist. Examples of simple cylindrical geometry are given. In conclusion, these gyrokinetic MHD equations look quite different from the conventional MHD equations, and their comparisons will be an interesting topic in the future.
 Authors:

 Princeton Univ., Princeton, NJ (United States). Princeton Plasma Physics Lab.
 Publication Date:
 Research Org.:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1415462
 Alternate Identifier(s):
 OSTI ID: 1414982
 Grant/Contract Number:
 AC0209CHI1466
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 12; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Lee, W. W., Hudson, S. R., and Ma, C. H.. Gyrokinetic magnetohydrodynamics and the associated equilibria. United States: N. p., 2017.
Web. https://doi.org/10.1063/1.5008257.
Lee, W. W., Hudson, S. R., & Ma, C. H.. Gyrokinetic magnetohydrodynamics and the associated equilibria. United States. https://doi.org/10.1063/1.5008257
Lee, W. W., Hudson, S. R., and Ma, C. H.. Wed .
"Gyrokinetic magnetohydrodynamics and the associated equilibria". United States. https://doi.org/10.1063/1.5008257. https://www.osti.gov/servlets/purl/1415462.
@article{osti_1415462,
title = {Gyrokinetic magnetohydrodynamics and the associated equilibria},
author = {Lee, W. W. and Hudson, S. R. and Ma, C. H.},
abstractNote = {The gyrokinetic magnetohydrodynamic (MHD) equations, related to the recent paper by W. W. Lee, and their associated equilibria properties are discussed. This set of equations consists of the timedependent gyrokinetic vorticity equation, the gyrokinetic parallel Ohm's law, and the gyrokinetic Ampere's law as well as the equations of state, which are expressed in terms of the electrostatic potential, Φ, and the vector potential, A, and support both spatially varying perpendicular and parallel pressure gradients and the associated currents. The corresponding gyrokinetic MHD equilibria can be reached when Φ → 0 and A becomes constant in time, which, in turn, gives ∇· (J∥+J⊥) = 0 and the associated magnetic islands, if they exist. Examples of simple cylindrical geometry are given. In conclusion, these gyrokinetic MHD equations look quite different from the conventional MHD equations, and their comparisons will be an interesting topic in the future.},
doi = {10.1063/1.5008257},
journal = {Physics of Plasmas},
number = 12,
volume = 24,
place = {United States},
year = {2017},
month = {12}
}
Figures / Tables:
Works referenced in this record:
Equilibrium potential well due to finite Larmor radius effects at the tokamak edge
journal, August 2017
 Lee, W. W.; White, R. B.
 Physics of Plasmas, Vol. 24, Issue 8
Alfvén waves in gyrokinetic plasmas
journal, August 2003
 Lee, W. W.; Qin, H.
 Physics of Plasmas, Vol. 10, Issue 8
Magnetohydrodynamics for collisionless plasmas from the gyrokinetic perspective
journal, July 2016
 Lee, W. W.
 Physics of Plasmas, Vol. 23, Issue 7
Nonlinear, threedimensional magnetohydrodynamics of noncircular tokamaks
journal, January 1976
 Strauss, H. R.
 Physics of Fluids, Vol. 19, Issue 1
Dynamics of high β tokamaks
journal, January 1977
 Strauss, H. R.
 Physics of Fluids, Vol. 20, Issue 8
ShearAlfvén waves in gyrokinetic plasmas
journal, October 2001
 Lee, W. W.; Lewandowski, J. L. V.; Hahm, T. S.
 Physics of Plasmas, Vol. 8, Issue 10
Pressure driven currents near magnetic islands in 3D MHD equilibria: Effects of pressure variation within flux surfaces and of symmetry
journal, July 2016
 Reiman, Allan H.
 Physics of Plasmas, Vol. 23, Issue 7
Works referencing / citing this record:
Finite Larmor radius effects at the high confinement mode pedestal and the related forcefree steady state
journal, April 2019
 Lee, W. W.; White, R. B.
 Physics of Plasmas, Vol. 26, Issue 4
Figures / Tables found in this record: