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A four-field model for tokamak plasma dynamics

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Zeitschriftentitel: The Physics of Fluids
Personen und Körperschaften: Hazeltine, R. D., Kotschenreuther, M., Morrison, P. J.
In: The Physics of Fluids, 28, 1985, 8, S. 2466-2477
Medientyp: E-Article
Sprache: Englisch
veröffentlicht:
AIP Publishing
Schlagwörter:
author_facet Hazeltine, R. D.
Kotschenreuther, M.
Morrison, P. J.
Hazeltine, R. D.
Kotschenreuther, M.
Morrison, P. J.
author Hazeltine, R. D.
Kotschenreuther, M.
Morrison, P. J.
spellingShingle Hazeltine, R. D.
Kotschenreuther, M.
Morrison, P. J.
The Physics of Fluids
A four-field model for tokamak plasma dynamics
General Engineering
author_sort hazeltine, r. d.
spelling Hazeltine, R. D. Kotschenreuther, M. Morrison, P. J. 0031-9171 AIP Publishing General Engineering http://dx.doi.org/10.1063/1.865255 <jats:p>A generalization of reduced magnetohydrodynamics is constructed from moments of the Fokker–Planck equation. The new model uses familiar aspect-ratio approximations but allows for (i) evolution as slow as the diamagnetic drift frequency, thereby including certain finite Larmor radius effects, (ii) pressure gradient terms in a generalized Ohm’s law, thus making accessible the adiabatic electron limit, and (iii) plasma compressibility, including the divergence of both parallel and perpendicular flows. The system is isothermal and surprisingly simple, involving only one additional field variable, i.e., four independent fields replace the three fields of reduced magnetohydrodynamics. It possesses a conserved energy. The model’s equilibrium limit is shown to reproduce not only the large-aspect-ratio Grad–Shafranov equation, but also such finite Larmor radius effects as the equilibrium ion parallel flow. Its linearized version reproduces, among other things, crucial physics of the long mean-free-path electron response. Nonlinearly, the four-field model is shown to describe diffusion in stochastic magnetic fields with good qualitative accuracy.</jats:p> A four-field model for tokamak plasma dynamics The Physics of Fluids
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imprint AIP Publishing, 1985
imprint_str_mv AIP Publishing, 1985
issn 0031-9171
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language English
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match_str hazeltine1985afourfieldmodelfortokamakplasmadynamics
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publisher AIP Publishing
recordtype ai
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series The Physics of Fluids
source_id 49
title A four-field model for tokamak plasma dynamics
title_unstemmed A four-field model for tokamak plasma dynamics
title_full A four-field model for tokamak plasma dynamics
title_fullStr A four-field model for tokamak plasma dynamics
title_full_unstemmed A four-field model for tokamak plasma dynamics
title_short A four-field model for tokamak plasma dynamics
title_sort a four-field model for tokamak plasma dynamics
topic General Engineering
url http://dx.doi.org/10.1063/1.865255
publishDate 1985
physical 2466-2477
description <jats:p>A generalization of reduced magnetohydrodynamics is constructed from moments of the Fokker–Planck equation. The new model uses familiar aspect-ratio approximations but allows for (i) evolution as slow as the diamagnetic drift frequency, thereby including certain finite Larmor radius effects, (ii) pressure gradient terms in a generalized Ohm’s law, thus making accessible the adiabatic electron limit, and (iii) plasma compressibility, including the divergence of both parallel and perpendicular flows. The system is isothermal and surprisingly simple, involving only one additional field variable, i.e., four independent fields replace the three fields of reduced magnetohydrodynamics. It possesses a conserved energy. The model’s equilibrium limit is shown to reproduce not only the large-aspect-ratio Grad–Shafranov equation, but also such finite Larmor radius effects as the equilibrium ion parallel flow. Its linearized version reproduces, among other things, crucial physics of the long mean-free-path electron response. Nonlinearly, the four-field model is shown to describe diffusion in stochastic magnetic fields with good qualitative accuracy.</jats:p>
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author Hazeltine, R. D., Kotschenreuther, M., Morrison, P. J.
author_facet Hazeltine, R. D., Kotschenreuther, M., Morrison, P. J., Hazeltine, R. D., Kotschenreuther, M., Morrison, P. J.
author_sort hazeltine, r. d.
container_issue 8
container_start_page 2466
container_title The Physics of Fluids
container_volume 28
description <jats:p>A generalization of reduced magnetohydrodynamics is constructed from moments of the Fokker–Planck equation. The new model uses familiar aspect-ratio approximations but allows for (i) evolution as slow as the diamagnetic drift frequency, thereby including certain finite Larmor radius effects, (ii) pressure gradient terms in a generalized Ohm’s law, thus making accessible the adiabatic electron limit, and (iii) plasma compressibility, including the divergence of both parallel and perpendicular flows. The system is isothermal and surprisingly simple, involving only one additional field variable, i.e., four independent fields replace the three fields of reduced magnetohydrodynamics. It possesses a conserved energy. The model’s equilibrium limit is shown to reproduce not only the large-aspect-ratio Grad–Shafranov equation, but also such finite Larmor radius effects as the equilibrium ion parallel flow. Its linearized version reproduces, among other things, crucial physics of the long mean-free-path electron response. Nonlinearly, the four-field model is shown to describe diffusion in stochastic magnetic fields with good qualitative accuracy.</jats:p>
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id ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjg2NTI1NQ
imprint AIP Publishing, 1985
imprint_str_mv AIP Publishing, 1985
institution DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229
issn 0031-9171
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series The Physics of Fluids
source_id 49
spelling Hazeltine, R. D. Kotschenreuther, M. Morrison, P. J. 0031-9171 AIP Publishing General Engineering http://dx.doi.org/10.1063/1.865255 <jats:p>A generalization of reduced magnetohydrodynamics is constructed from moments of the Fokker–Planck equation. The new model uses familiar aspect-ratio approximations but allows for (i) evolution as slow as the diamagnetic drift frequency, thereby including certain finite Larmor radius effects, (ii) pressure gradient terms in a generalized Ohm’s law, thus making accessible the adiabatic electron limit, and (iii) plasma compressibility, including the divergence of both parallel and perpendicular flows. The system is isothermal and surprisingly simple, involving only one additional field variable, i.e., four independent fields replace the three fields of reduced magnetohydrodynamics. It possesses a conserved energy. The model’s equilibrium limit is shown to reproduce not only the large-aspect-ratio Grad–Shafranov equation, but also such finite Larmor radius effects as the equilibrium ion parallel flow. Its linearized version reproduces, among other things, crucial physics of the long mean-free-path electron response. Nonlinearly, the four-field model is shown to describe diffusion in stochastic magnetic fields with good qualitative accuracy.</jats:p> A four-field model for tokamak plasma dynamics The Physics of Fluids
spellingShingle Hazeltine, R. D., Kotschenreuther, M., Morrison, P. J., The Physics of Fluids, A four-field model for tokamak plasma dynamics, General Engineering
title A four-field model for tokamak plasma dynamics
title_full A four-field model for tokamak plasma dynamics
title_fullStr A four-field model for tokamak plasma dynamics
title_full_unstemmed A four-field model for tokamak plasma dynamics
title_short A four-field model for tokamak plasma dynamics
title_sort a four-field model for tokamak plasma dynamics
title_unstemmed A four-field model for tokamak plasma dynamics
topic General Engineering
url http://dx.doi.org/10.1063/1.865255