# Structure transitions induced by the Hall term in homogeneous and isotropic magnetohydrodynamic turbulence

## Abstract

Hall effects on local structures in homogeneous, isotropic, and incompressible magnetohydrodynamic turbulence are studied numerically. The transition of vortices from sheet-like to tubular structures induced by the Hall term is found, while the kinetic energy spectrum does not distinguish the two types of structures. It is shown by the use of the sharp low-pass filter that the transition occurs not only in the scales smaller than the ion skin depth but also in a larger scale. The transition is related with the forward energy transfer in the spectral space. Analyses by the use of the sharp low-pass filter show that the nonlinear energy transfer associated with the Hall term is dominated by the forward transfer and relatively local in the wave number space. A projection of the simulation data to a Smagorinsky-type sub-grid-scale model shows that the high wave number component of the Hall term may possibly be replaced by the model effectively.

- Authors:

- Department of Helical Plasma Research, National Institute for Fusion Science, 322-6 Oroshi, Toki, Gifu 509-5292 (Japan)
- Faculty of Engineering, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005 (Japan)

- Publication Date:

- OSTI Identifier:
- 22299819

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DEPTH; ENERGY TRANSFER; FILTERS; KINETIC ENERGY; NONLINEAR PROBLEMS; SCALE MODELS; SIMULATION; TURBULENCE

### Citation Formats

```
Miura, H., E-mail: miura.hideaki@nifs.ac.jp, and Araki, K..
```*Structure transitions induced by the Hall term in homogeneous and isotropic magnetohydrodynamic turbulence*. United States: N. p., 2014.
Web. doi:10.1063/1.4890857.

```
Miura, H., E-mail: miura.hideaki@nifs.ac.jp, & Araki, K..
```*Structure transitions induced by the Hall term in homogeneous and isotropic magnetohydrodynamic turbulence*. United States. doi:10.1063/1.4890857.

```
Miura, H., E-mail: miura.hideaki@nifs.ac.jp, and Araki, K.. Tue .
"Structure transitions induced by the Hall term in homogeneous and isotropic magnetohydrodynamic turbulence". United States.
doi:10.1063/1.4890857.
```

```
@article{osti_22299819,
```

title = {Structure transitions induced by the Hall term in homogeneous and isotropic magnetohydrodynamic turbulence},

author = {Miura, H., E-mail: miura.hideaki@nifs.ac.jp and Araki, K.},

abstractNote = {Hall effects on local structures in homogeneous, isotropic, and incompressible magnetohydrodynamic turbulence are studied numerically. The transition of vortices from sheet-like to tubular structures induced by the Hall term is found, while the kinetic energy spectrum does not distinguish the two types of structures. It is shown by the use of the sharp low-pass filter that the transition occurs not only in the scales smaller than the ion skin depth but also in a larger scale. The transition is related with the forward energy transfer in the spectral space. Analyses by the use of the sharp low-pass filter show that the nonlinear energy transfer associated with the Hall term is dominated by the forward transfer and relatively local in the wave number space. A projection of the simulation data to a Smagorinsky-type sub-grid-scale model shows that the high wave number component of the Hall term may possibly be replaced by the model effectively.},

doi = {10.1063/1.4890857},

journal = {Physics of Plasmas},

number = 7,

volume = 21,

place = {United States},

year = {Tue Jul 15 00:00:00 EDT 2014},

month = {Tue Jul 15 00:00:00 EDT 2014}

}