Gyrokinetic magnetohydrodynamics and the associated equilibria

Lee, W. W.; Hudson, S. R.; Ma, C. H.

doi:10.1063/1.5008257

Title: Gyrokinetic magnetohydrodynamics and the associated equilibria

Journal Article · Wed Dec 27 00:00:00 EST 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5008257· OSTI ID:1415462

^[1]; Hudson, S. R. ^[1]; Ma, C. H. ^[1]

Princeton Univ., Princeton, NJ (United States). Princeton Plasma Physics Lab.

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 time-dependent 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.

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Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CHI1466

OSTI ID:: 1415462

Alternate ID(s):: OSTI ID: 1414982

Journal Information:: Physics of Plasmas, Vol. 24, Issue 12; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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Cited By (1)

Finite Larmor radius effects at the high confinement mode pedestal and the related force-free steady state Lee, W. W.; White, R. B. Physics of Plasmas, Vol. 26, Issue 4 https://doi.org/10.1063/1.5089135	journal	April 2019