# A multi-species 13-moment model for moderately collisional plasmas

## Abstract

Fluid-based models of collisional transport in multi-species plasmas have typically been applied to parameter regimes where a local thermal equilibrium is assumed. While this parameter regime is valid for low temperature and/or high density applications, it begins to fail as plasmas enter the collisionless regime and kinetic effects dominate the physics. A plasma model is presented that lays the foundation for extending the validity of the collisional fluid regime using an anisotropic 13-moment fluid model derived from the Pearson type-IV probability distribution. The model explicitly evolves the pressure tensor and heat flux vector along with the density and flow velocity to capture dynamics usually restricted to kinetic models. Each particle species is modeled individually and collectively coupled through electromagnetic and collisional interactions.

- Authors:

- Aerospace and Energetics Research Program, University of Washington, Seattle, Washington 98195-2250 (United States)

- Publication Date:

- OSTI Identifier:
- 22599976

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; COLLISIONAL PLASMA; DENSITY; DISTRIBUTION; FLUIDS; HEAT FLUX; INTERACTIONS; PARTICLES; PROBABILITY; TEMPERATURE RANGE 0065-0273 K; THERMAL EQUILIBRIUM; TRANSPORT THEORY; VECTORS; VELOCITY

### Citation Formats

```
Miller, S. T., E-mail: smiller3@uw.edu, and Shumlak, U., E-mail: shumlak@uw.edu.
```*A multi-species 13-moment model for moderately collisional plasmas*. United States: N. p., 2016.
Web. doi:10.1063/1.4960041.

```
Miller, S. T., E-mail: smiller3@uw.edu, & Shumlak, U., E-mail: shumlak@uw.edu.
```*A multi-species 13-moment model for moderately collisional plasmas*. United States. doi:10.1063/1.4960041.

```
Miller, S. T., E-mail: smiller3@uw.edu, and Shumlak, U., E-mail: shumlak@uw.edu. Mon .
"A multi-species 13-moment model for moderately collisional plasmas". United States.
doi:10.1063/1.4960041.
```

```
@article{osti_22599976,
```

title = {A multi-species 13-moment model for moderately collisional plasmas},

author = {Miller, S. T., E-mail: smiller3@uw.edu and Shumlak, U., E-mail: shumlak@uw.edu},

abstractNote = {Fluid-based models of collisional transport in multi-species plasmas have typically been applied to parameter regimes where a local thermal equilibrium is assumed. While this parameter regime is valid for low temperature and/or high density applications, it begins to fail as plasmas enter the collisionless regime and kinetic effects dominate the physics. A plasma model is presented that lays the foundation for extending the validity of the collisional fluid regime using an anisotropic 13-moment fluid model derived from the Pearson type-IV probability distribution. The model explicitly evolves the pressure tensor and heat flux vector along with the density and flow velocity to capture dynamics usually restricted to kinetic models. Each particle species is modeled individually and collectively coupled through electromagnetic and collisional interactions.},

doi = {10.1063/1.4960041},

journal = {Physics of Plasmas},

number = 8,

volume = 23,

place = {United States},

year = {Mon Aug 15 00:00:00 EDT 2016},

month = {Mon Aug 15 00:00:00 EDT 2016}

}