# Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics

## Abstract

The 5-moment two-fluid plasma model uses Euler equations to describe the ion and electron fluids and Maxwell's equations to describe the electric and magnetic fields. Two-fluid physics becomes significant when the characteristic spatial scales are on the order of the ion skin depth and characteristic time scales are on the order of the ion cyclotron period. The full two-fluid plasma model has disparate characteristic speeds ranging from the ion and electron speeds of sound to the speed of light. Two asymptotic approximations are applied to the full two-fluid plasma to arrive at the Hall-MHD model, namely negligible electron inertia and infinite speed of light. The full two-fluid plasma model and the Hall-MHD model are studied for applications to an electromagnetic plasma shock, geospace environmental modeling (GEM challenge) magnetic reconnection, an axisymmetric Z-pinch, and an axisymmetric field reversed configuration (FRC).

- Authors:

- Aerospace and Energetics Research Program, University of Washington, Seattle, Washington 98195 (United States)

- Publication Date:

- OSTI Identifier:
- 22043479

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 18; Journal Issue: 9; Other Information: (c) 2011 American Institute of Physics; 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; APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; AXIAL SYMMETRY; ELECTRONS; FEDERAL RADIATION COUNCIL; FIELD-REVERSED THETA PINCH DEVICES; FLUIDS; HALL EFFECT; IONS; MAGNETIC FIELDS; MAGNETIC RECONNECTION; MAGNETOHYDRODYNAMICS; MAXWELL EQUATIONS; MOMENT OF INERTIA; PLASMA; PLASMA SIMULATION; REVERSED-FIELD PINCH DEVICES; REVERSE-FIELD PINCH; SHOCK WAVES; SOUND WAVES

### Citation Formats

```
Srinivasan, B., and Shumlak, U.
```*Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics*. United States: N. p., 2011.
Web. doi:10.1063/1.3640811.

```
Srinivasan, B., & Shumlak, U.
```*Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics*. United States. doi:10.1063/1.3640811.

```
Srinivasan, B., and Shumlak, U. Thu .
"Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics". United States. doi:10.1063/1.3640811.
```

```
@article{osti_22043479,
```

title = {Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics},

author = {Srinivasan, B. and Shumlak, U.},

abstractNote = {The 5-moment two-fluid plasma model uses Euler equations to describe the ion and electron fluids and Maxwell's equations to describe the electric and magnetic fields. Two-fluid physics becomes significant when the characteristic spatial scales are on the order of the ion skin depth and characteristic time scales are on the order of the ion cyclotron period. The full two-fluid plasma model has disparate characteristic speeds ranging from the ion and electron speeds of sound to the speed of light. Two asymptotic approximations are applied to the full two-fluid plasma to arrive at the Hall-MHD model, namely negligible electron inertia and infinite speed of light. The full two-fluid plasma model and the Hall-MHD model are studied for applications to an electromagnetic plasma shock, geospace environmental modeling (GEM challenge) magnetic reconnection, an axisymmetric Z-pinch, and an axisymmetric field reversed configuration (FRC).},

doi = {10.1063/1.3640811},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 9,

volume = 18,

place = {United States},

year = {2011},

month = {9}

}