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A four-field model for tokamak plasma dynamics
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Zeitschriftentitel: | The Physics of Fluids |
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Personen und Körperschaften: | , , |
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. |
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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 |
doi_str_mv |
10.1063/1.865255 |
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Online |
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AIP Publishing, 1985 |
imprint_str_mv |
AIP Publishing, 1985 |
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0031-9171 |
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0031-9171 |
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English |
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1985 |
publisher |
AIP Publishing |
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ai |
record_format |
ai |
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> |
doi_str_mv | 10.1063/1.865255 |
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format | ElectronicArticle |
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format_del189 | Article, E-Article |
format_dezi4 | Article |
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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 |
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language | English |
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physical | 2466-2477 |
publishDate | 1985 |
publishDateSort | 1985 |
publisher | AIP Publishing |
record_format | ai |
recordtype | ai |
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 |