# Onsager's symmetry relation and the residual parallel Reynolds stress in a magnetized plasma with electrostatic turbulence

## Abstract

The physics of the residual parallel Reynolds stress in a rotating plasma with electrostatic turbulence is explicitly identified by using the transport formulation of the gyrokinetic turbulence. It is clarified that the residual stress consists of four terms, among which are the cross terms due to the pressure gradient and the temperature gradient and the terms related to the turbulent acceleration impulse and the turbulent heating rate. The last two terms are identified for the first time, and are shown to cause analogous residual term in the heat flux. Meanwhile, the transport matrix reveals diffusion in the phase space. The transport matrix is demonstrated to satisfy the Onsager's symmetry relation.

- Authors:

- Department of Modern Physics, University of Science and Technology of China, Hefei 230026 (China)

- Publication Date:

- OSTI Identifier:
- 22303634

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCELERATION; HEAT FLUX; PHASE SPACE; PRESSURE GRADIENTS; RESIDUAL STRESSES; REYNOLDS NUMBER; ROTATING PLASMA; SYMMETRY; TEMPERATURE GRADIENTS; TURBULENCE; TURBULENT HEATING

### Citation Formats

```
Zuo, Yang, E-mail: yangzustc@gmail.com, and Wang, Shaojie.
```*Onsager's symmetry relation and the residual parallel Reynolds stress in a magnetized plasma with electrostatic turbulence*. United States: N. p., 2014.
Web. doi:10.1063/1.4894675.

```
Zuo, Yang, E-mail: yangzustc@gmail.com, & Wang, Shaojie.
```*Onsager's symmetry relation and the residual parallel Reynolds stress in a magnetized plasma with electrostatic turbulence*. United States. doi:10.1063/1.4894675.

```
Zuo, Yang, E-mail: yangzustc@gmail.com, and Wang, Shaojie. Mon .
"Onsager's symmetry relation and the residual parallel Reynolds stress in a magnetized plasma with electrostatic turbulence". United States. doi:10.1063/1.4894675.
```

```
@article{osti_22303634,
```

title = {Onsager's symmetry relation and the residual parallel Reynolds stress in a magnetized plasma with electrostatic turbulence},

author = {Zuo, Yang, E-mail: yangzustc@gmail.com and Wang, Shaojie},

abstractNote = {The physics of the residual parallel Reynolds stress in a rotating plasma with electrostatic turbulence is explicitly identified by using the transport formulation of the gyrokinetic turbulence. It is clarified that the residual stress consists of four terms, among which are the cross terms due to the pressure gradient and the temperature gradient and the terms related to the turbulent acceleration impulse and the turbulent heating rate. The last two terms are identified for the first time, and are shown to cause analogous residual term in the heat flux. Meanwhile, the transport matrix reveals diffusion in the phase space. The transport matrix is demonstrated to satisfy the Onsager's symmetry relation.},

doi = {10.1063/1.4894675},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 9,

volume = 21,

place = {United States},

year = {2014},

month = {9}

}

DOI: 10.1063/1.4894675

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