## This content will become publicly available on September 27, 2020

# Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. IV. Drift-tearing mode

## Abstract

Here, the drift-tearing instability due to diamagnetic drift effects is verified using the Gyrokinetic Toroidal Code (GTC). First, the classical (2,1) resistive tearing mode is verified in a cylindrical geometry with a fluid model. The dependence of the growth rate of the resistive tearing mode on the beta value of the plasma is obtained and is found to qualitatively agree with the theoretical prediction. A drift-tearing mode is subsequently generated when the equilibrium pressure gradient is significant. In this mode, diamagnetic drift effects result in a reduced growth rate and a real frequency equal to the electron diamagnetic frequency. The scaling relation between the diamagnetic frequency and the growth rate of the drift-tearing mode has been calculated. Lastly, this relation shows good agreement with the theoretical prediction for a relatively small resistivity; however, an obvious deviation arises when the resistivity is large.

- Authors:

- Univ. of Science and Technology of China, Hefei (China); Chinese Academy of Sciences (CAS), Beijing (China). Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences; Univ.of Chinese Academy of Sciences, Beijing (China)
- Univ. of Science and Technology of China, Hefei (China); Chinese Academy of Sciences (CAS), Beijing (China). Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences; Univ.of Chinese Academy of Sciences, Beijing (China); Songshan Lake Materials Lab., Dongguan, Guangdong (China)
- Univ. of Science and Technology of China, Hefei (China); Chinese Academy of Sciences (CAS), Beijing (China). Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences; Univ.of Chinese Academy of Sciences, Beijing (China); China Three Gorges Univ., Yichang, Hubei (China)
- Univ. of California, Irvine, CA (United States)
- Chinese Academy of Sciences (CAS), Beijing (China). Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences; Univ.of Chinese Academy of Sciences, Beijing (China)

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1577612

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 9; Journal ID: ISSN 1070-664X

- Publisher:
- American Institute of Physics (AIP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

### Citation Formats

```
Shi, Hao, Zhang, Wenlu, Feng, Hongying, Lin, Zhihong, Dong, Chao, Bao, Jian, and Li, Ding. Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. IV. Drift-tearing mode. United States: N. p., 2019.
Web. doi:10.1063/1.5116332.
```

```
Shi, Hao, Zhang, Wenlu, Feng, Hongying, Lin, Zhihong, Dong, Chao, Bao, Jian, & Li, Ding. Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. IV. Drift-tearing mode. United States. doi:10.1063/1.5116332.
```

```
Shi, Hao, Zhang, Wenlu, Feng, Hongying, Lin, Zhihong, Dong, Chao, Bao, Jian, and Li, Ding. Fri .
"Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. IV. Drift-tearing mode". United States. doi:10.1063/1.5116332.
```

```
@article{osti_1577612,
```

title = {Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. IV. Drift-tearing mode},

author = {Shi, Hao and Zhang, Wenlu and Feng, Hongying and Lin, Zhihong and Dong, Chao and Bao, Jian and Li, Ding},

abstractNote = {Here, the drift-tearing instability due to diamagnetic drift effects is verified using the Gyrokinetic Toroidal Code (GTC). First, the classical (2,1) resistive tearing mode is verified in a cylindrical geometry with a fluid model. The dependence of the growth rate of the resistive tearing mode on the beta value of the plasma is obtained and is found to qualitatively agree with the theoretical prediction. A drift-tearing mode is subsequently generated when the equilibrium pressure gradient is significant. In this mode, diamagnetic drift effects result in a reduced growth rate and a real frequency equal to the electron diamagnetic frequency. The scaling relation between the diamagnetic frequency and the growth rate of the drift-tearing mode has been calculated. Lastly, this relation shows good agreement with the theoretical prediction for a relatively small resistivity; however, an obvious deviation arises when the resistivity is large.},

doi = {10.1063/1.5116332},

journal = {Physics of Plasmas},

number = 9,

volume = 26,

place = {United States},

year = {2019},

month = {9}

}

Works referenced in this record:

##
Hybrid simulation of energetic particle effects on tearing modes in tokamak plasmas

journal, July 2012

- Cai, Huishan; Fu, Guoyong
- Physics of Plasmas, Vol. 19, Issue 7

##
Thermal Transport Effects on Drift-Tearing Mode

journal, June 2007

- Nishimura, Seiya; Yagi, Masatoshi; Itoh, Sanae-I.
- Journal of the Physical Society of Japan, Vol. 76, Issue 6

##
Linear kinetic theory of high-m tearing modes

journal, January 1980

- Rosenberg, M.; Dominguez, R. R.; Pfeiffer, W.
- Physics of Fluids, Vol. 23, Issue 10

##
Nonlinear dynamics of rotating drift-tearing modes in tokamak plasmas

journal, September 2008

- Nishimura, S.; Benkadda, S.; Yagi, M.
- Physics of Plasmas, Vol. 15, Issue 9

##
Linear and nonlinear stability of drift-tearing mode

journal, January 2010

- Yu, Q.
- Nuclear Fusion, Vol. 50, Issue 2

##
Energetic particle effects on *n* = 1 resistive MHD instabilities in a DIII-D hybrid discharge

journal, February 2012

- Brennan, D. P.; Kim, C. C.; La Haye, R. J.
- Nuclear Fusion, Vol. 52, Issue 3

##
Numerical modeling of linear drift-tearing mode stability

journal, March 2003

- Yu, Q.; Günter, S.; Scott, B. D.
- Physics of Plasmas, Vol. 10, Issue 3

##
Electromagnetic formulation of global gyrokinetic particle simulation in toroidal geometry

journal, December 2009

- Holod, I.; Zhang, W. L.; Xiao, Y.
- Physics of Plasmas, Vol. 16, Issue 12

##
Nonlinear evolution of tearing modes in inhomogeneous plasmas

journal, June 1993

- Smolyakov, A. I.
- Plasma Physics and Controlled Fusion, Vol. 35, Issue 6

##
Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. II. Resistive tearing mode

journal, December 2014

- Liu, Dongjian; Zhang, Wenlu; McClenaghan, Joseph
- Physics of Plasmas, Vol. 21, Issue 12

##
Nonlinear growth of the tearing mode

journal, January 1973

- Rutherford, P. H.
- Physics of Fluids, Vol. 16, Issue 11

##
ITER on the road to fusion energy

journal, December 2009

- Ikeda, Kaname
- Nuclear Fusion, Vol. 50, Issue 1

##
Gyrokinetic approach in particle simulation

journal, January 1983

- Lee, W. W.
- Physics of Fluids, Vol. 26, Issue 2

##
Resistive reconnection

journal, January 1986

- White, R. B.
- Reviews of Modern Physics, Vol. 58, Issue 1

##
Kinetic theory of tearing instability

journal, January 1975

- Hazeltine, R. D.; Dobrott, D.; Wang, T. S.
- Physics of Fluids, Vol. 18, Issue 12

##
Drift-tearing modes in a tokamak plasma

journal, August 1978

- Biskamp, D.
- Nuclear Fusion, Vol. 18, Issue 8

##
Kinetic theory of tearing instabilities

journal, January 1977

- Drake, J. F.; Lee, Y. C.
- Physics of Fluids, Vol. 20, Issue 8

##
Chapter 1: Overview and summary

journal, December 1999

- Editors, ITER Physics Basis; Co-Chairs, ITER Physics Expert Group Chairs an; Unit, ITER Joint Central Team and Physics
- Nuclear Fusion, Vol. 39, Issue 12

##
Fluid theory of tearing instabilities

journal, January 1980

- Hassam, A. B.
- Physics of Fluids, Vol. 23, Issue 12

##
Nonlinear drift tearing modes

journal, January 1980

- Monticello, D. A.; White, R. B.
- Physics of Fluids, Vol. 23, Issue 2

##
Gyrokinetic simulation model for kinetic magnetohydrodynamic processes in magnetized plasmas

journal, January 2012

- Deng, W.; Lin, Z.; Holod, I.
- Nuclear Fusion, Vol. 52, Issue 2

##
A new algebraic growth of nonlinear tearing mode

journal, September 1995

- Li, Ding
- Physics of Plasmas, Vol. 2, Issue 9

##
Finite-Resistivity Instabilities of a Sheet Pinch

journal, January 1963

- Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N.
- Physics of Fluids, Vol. 6, Issue 4

##
Tearing mode in the cylindrical tokamak

journal, January 1973

- Furth, H. P.
- Physics of Fluids, Vol. 16, Issue 7

##
Verification of linear resistive tearing instability with gyrokinetic particle code VirtEx

journal, October 2017

- Feng, Hongying; Zhang, Wenlu; Dong, Chao
- Physics of Plasmas, Vol. 24, Issue 10

##
The linear tearing instability in three dimensional, toroidal gyro-kinetic simulations

journal, February 2015

- Hornsby, W. A.; Migliano, P.; Buchholz, R.
- Physics of Plasmas, Vol. 22, Issue 2

##
Gyrokinetic-ion drift-kinetic-electron simulation of the (m = 2, n = 1) cylindrical tearing mode

journal, March 2016

- Chen, Y.; Chowdhury, J.; Maksimovic, N.
- Physics of Plasmas, Vol. 23, Issue 5

##
Nonlinear Stability of Drift-Tearing Modes

journal, March 1985

- Scott, Bruce D.; Drake, J. F.; Hassam, A. B.
- Physical Review Letters, Vol. 54, Issue 10