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# Drift Instabilities in Thin Current Sheets Using a Two–Fluid Model With Pressure Tensor Effects

## Abstract

The integration of kinetic effects in fluid models is important for global simulations of the Earth's magnetosphere. We use a two–fluid 10–moment model, which includes the pressure tensor and has been used to study reconnection, to study the drift kink and lower hybrid drift instabilities. Using a nonlocal linear eigenmode analysis, we find that for the kink mode, the 10–moment model shows good agreement with kinetic calculations with the same closure model used in reconnection simulations, while the electromagnetic and electrostatic lower hybrid instabilities require modeling the effects of the ion resonance using a Landau fluid closure. As a result, comparisons with kinetic simulations and the implications of the results for global magnetospheric simulations are discussed.

- Authors:

- Princeton Univ., Princeton, NJ (United States); Univ. of Maryland, College Park, MD (United States)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Univ. of Maryland, College Park, MD (United States)
- Princeton Univ., Princeton, NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

- Publication Date:

- Research Org.:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

- Sponsoring Org.:
- USDOE

- Contributing Org.:
- 80NSSC17K0428

- OSTI Identifier:
- 1558787

- Alternate Identifier(s):
- OSTI ID: 1515558

- Grant/Contract Number:
- AC02-09CH11466

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Geophysical Research. Space Physics

- Additional Journal Information:
- Journal Volume: 124; Journal Issue: 5; Journal ID: ISSN 2169-9380

- Publisher:
- American Geophysical Union

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Ng, Jonathan, Hakim, Ammar, Juno, J., and Bhattacharjee, A. Drift Instabilities in Thin Current Sheets Using a Two–Fluid Model With Pressure Tensor Effects. United States: N. p., 2019.
Web. doi:10.1029/2018ja026313.
```

```
Ng, Jonathan, Hakim, Ammar, Juno, J., & Bhattacharjee, A. Drift Instabilities in Thin Current Sheets Using a Two–Fluid Model With Pressure Tensor Effects. United States. doi:10.1029/2018ja026313.
```

```
Ng, Jonathan, Hakim, Ammar, Juno, J., and Bhattacharjee, A. Mon .
"Drift Instabilities in Thin Current Sheets Using a Two–Fluid Model With Pressure Tensor Effects". United States. doi:10.1029/2018ja026313.
```

```
@article{osti_1558787,
```

title = {Drift Instabilities in Thin Current Sheets Using a Two–Fluid Model With Pressure Tensor Effects},

author = {Ng, Jonathan and Hakim, Ammar and Juno, J. and Bhattacharjee, A.},

abstractNote = {The integration of kinetic effects in fluid models is important for global simulations of the Earth's magnetosphere. We use a two–fluid 10–moment model, which includes the pressure tensor and has been used to study reconnection, to study the drift kink and lower hybrid drift instabilities. Using a nonlocal linear eigenmode analysis, we find that for the kink mode, the 10–moment model shows good agreement with kinetic calculations with the same closure model used in reconnection simulations, while the electromagnetic and electrostatic lower hybrid instabilities require modeling the effects of the ion resonance using a Landau fluid closure. As a result, comparisons with kinetic simulations and the implications of the results for global magnetospheric simulations are discussed.},

doi = {10.1029/2018ja026313},

journal = {Journal of Geophysical Research. Space Physics},

number = 5,

volume = 124,

place = {United States},

year = {2019},

month = {4}

}

*Citation information provided by*

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Works referenced in this record:

##
The effects of turbulence on three-dimensional magnetic reconnection at the magnetopause: TURBULENCE DURING 3D RECONNECTION

journal, June 2016

- Price, L.; Swisdak, M.; Drake, J. F.
- Geophysical Research Letters, Vol. 43, Issue 12

##
Discontinuous Galerkin algorithms for fully kinetic plasmas

journal, January 2018

- Juno, J.; Hakim, A.; TenBarge, J.
- Journal of Computational Physics, Vol. 353

##
Fluid moment models for Landau damping with application to the ion-temperature-gradient instability

journal, June 1990

- Hammett, Gregory W.; Perkins, Francis W.
- Physical Review Letters, Vol. 64, Issue 25

##
Observation of waves near lower hybrid frequency in the reconnection region with thin current sheet: LOWER HYBRID WAVES WITH RECONNECTION

journal, February 2009

- Zhou, M.; Deng, X. H.; Li, S. Y.
- Journal of Geophysical Research: Space Physics, Vol. 114, Issue A2

##
Hybrid modeling of collisionless reconnection in two-dimensional current sheets: Simulations

journal, November 1995

- Hesse, Michael; Winske, Dan; Kuznetsova, Masha M.
- Journal of Geophysical Research: Space Physics, Vol. 100, Issue A11

##
A high resolution wave propagation scheme for ideal Two-Fluid plasma equations

journal, November 2006

- Hakim, A.; Loverich, J.; Shumlak, U.
- Journal of Computational Physics, Vol. 219, Issue 1

##
A reduced Landau-gyrofluid model for magnetic reconnection driven by electron inertia

journal, June 2018

- Tassi, E.; Grasso, D.; Borgogno, D.
- Journal of Plasma Physics, Vol. 84, Issue 4

##
Extended MHD Modelling with the Ten-Moment Equations

journal, July 2007

- Hakim, Ammar H.
- Journal of Fusion Energy, Vol. 27, Issue 1-2

##
Three-dimensional stability of thin quasi-neutral current sheets

journal, December 1996

- Pritchett, P. L.; Coroniti, F. V.; Decyk, V. K.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A12

##
Two-fluid theory of drift-kink instability in a one-dimensional neutral sheet

journal, June 1998

- Yoon, Peter H.; Lui, A. T. Y.; Wong, H. K.
- Journal of Geophysical Research: Space Physics, Vol. 103, Issue A6

##
Two-fluid theory of the drift kink instability

journal, December 1999

- Daughton, William
- Journal of Geophysical Research: Space Physics, Vol. 104, Issue A12

##
Electromagnetic properties of the lower-hybrid drift instability in a thin current sheet

journal, August 2003

- Daughton, William
- Physics of Plasmas, Vol. 10, Issue 8

##
Comparison of multi-fluid moment models with particle-in-cell simulations of collisionless magnetic reconnection

journal, January 2015

- Wang, Liang; Hakim, Ammar H.; Bhattacharjee, A.
- Physics of Plasmas, Vol. 22, Issue 1

##
Temperature gradient driven heat flux closure in fluid simulations of collisionless reconnection

journal, June 2018

- Allmann-Rahn, F.; Trost, T.; Grauer, R.
- Journal of Plasma Physics, Vol. 84, Issue 3

##
Generalized lower-hybrid drift instabilities in current-sheet equilibrium

journal, May 2002

- Yoon, Peter H.; Lui, Anthony T. Y.; Sitnov, Mikhail I.
- Physics of Plasmas, Vol. 9, Issue 5

##
Nonlinear evolution of the lower hybrid drift instability: Current sheet thinning and kinking

journal, May 2002

- Lapenta, Giovanni; Brackbill, J. U.
- Physics of Plasmas, Vol. 9, Issue 5

##
Kinetic theory of the drift kink instability in a current sheet

journal, December 1998

- Daughton, William
- Journal of Geophysical Research: Space Physics, Vol. 103, Issue A12

##
The unexpected role of the lower hybrid drift instability in magnetic reconnection in three dimensions

journal, May 2003

- Lapenta, Giovanni; Brackbill, J. U.; Daughton, W. S.
- Physics of Plasmas, Vol. 10, Issue 5

##
Electromagnetic instability and anomalous resistivity in a magnetic neutral sheet

journal, June 1996

- Ozaki, Masao; Sato, Tetsuya; Horiuchi, Ritoku
- Physics of Plasmas, Vol. 3, Issue 6

##
The Serendipity Family of Finite Elements

journal, March 2011

- Arnold, Douglas N.; Awanou, Gerard
- Foundations of Computational Mathematics, Vol. 11, Issue 3

##
Experimental study of lower-hybrid drift turbulence in a reconnecting current sheet

journal, August 2002

- Carter, T. A.; Yamada, M.; Ji, H.
- Physics of Plasmas, Vol. 9, Issue 8

##
Hybrid and Hall-MHD simulations of collisionless reconnection: Dynamics of the electron pressure tensor

journal, June 2001

- Yin, L.; Winske, D.; Gary, S. P.
- Journal of Geophysical Research: Space Physics, Vol. 106, Issue A6

##
Tearing instability, flux ropes, and the kinetic current sheet kink instability in the Earth's magnetotail: A three-dimensional perspective from particle simulations

journal, March 1996

- Zhu, Zhongwei; Winglee, R. M.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A3

##
Electrostatic instabilities driven by currents perpendicular to an external magnetic field

journal, May 1972

- Hirose, A.; Alexeff, I.
- Nuclear Fusion, Vol. 12, Issue 3

##
Simulations of anti-parallel reconnection using a nonlocal heat flux closure

journal, August 2017

- Ng, Jonathan; Hakim, Ammar; Bhattacharjee, A.
- Physics of Plasmas, Vol. 24, Issue 8

##
Fluid models of phase mixing, Landau damping, and nonlinear gyrokinetic dynamics

journal, March 1992

- Hammett, G. W.; Dorland, W.; Perkins, F. W.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7

##
On a plasma sheath separating regions of oppositely directed magnetic field

journal, January 1962

- Harris, E. G.
- Il Nuovo Cimento, Vol. 23, Issue 1

##
Influence of the Lower-Hybrid Drift Instability on Magnetic Reconnection in Asymmetric Configurations

journal, May 2012

- Roytershteyn, V.; Daughton, W.; Karimabadi, H.
- Physical Review Letters, Vol. 108, Issue 18

##
Effects of finite plasma beta on the lower-hybrid-drift instability

journal, January 1977

- Davidson, R. C.; Gladd, N. T.; Wu, C. S.
- Physics of Fluids, Vol. 20, Issue 2

##
Ion-ion kink instability in the magnetotail: 1. Linear theory

journal, January 2003

- Karimabadi, H.
- Journal of Geophysical Research, Vol. 108, Issue A11

##
The Role of the Drift Kink Mode in Destabilizing Thin Current Sheets

journal, January 1996

- Pritchett, P. L.; Coroniti, F. V.
- Journal of geomagnetism and geoelectricity, Vol. 48, Issue 5

##
The unstable eigenmodes of a neutral sheet

journal, April 1999

- Daughton, William
- Physics of Plasmas, Vol. 6, Issue 4

##
The island coalescence problem: Scaling of reconnection in extended fluid models including higher-order moments

journal, November 2015

- Ng, Jonathan; Huang, Yi-Min; Hakim, Ammar
- Physics of Plasmas, Vol. 22, Issue 11

##
Ion-ion kink instability in the magnetotail: 2. Three-dimensional full particle and hybrid simulations and comparison with observations

journal, January 2003

- Karimabadi, H.
- Journal of Geophysical Research, Vol. 108, Issue A11

##
A Landau fluid model for electromagnetic plasma microturbulence

journal, July 2001

- Snyder, P. B.; Hammett, G. W.
- Physics of Plasmas, Vol. 8, Issue 7

##
Two-fluid physics and field-reversed configurations

journal, May 2007

- Hakim, A.; Shumlak, U.
- Physics of Plasmas, Vol. 14, Issue 5