# Fluid moments of the nonlinear Landau collision operator

## Abstract

An important problem in plasma physics is the lack of an accurate and complete description of Coulomb collisions in associated fluid models. To shed light on the problem, this Letter introduces an integral identity involving the multivariate Hermite tensor polynomials and presents a method for computing exact expressions for the fluid moments of the nonlinear Landau collision operator. The proposed methodology provides a systematic and rigorous means of extending the validity of fluid models that have an underlying inverse-square force particle dynamics to arbitrary collisionality and flow.

- Authors:

- Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543 (United States)
- (United States)
- Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 (United States)
- General Atomics, San Diego, California 92186 (United States)

- Publication Date:

- OSTI Identifier:
- 22599932

- 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; COLLISIONS; COULOMB FIELD; FLUIDS; INTEGRALS; LANDAU DAMPING; MULTIVARIATE ANALYSIS; NONLINEAR PROBLEMS; PARTICLES; PLASMA; POLYNOMIALS; TENSORS

### Citation Formats

```
Hirvijoki, E., Pfefferlé, D., Lingam, M., Bhattacharjee, A., Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, Comisso, L., Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, and Candy, J.
```*Fluid moments of the nonlinear Landau collision operator*. United States: N. p., 2016.
Web. doi:10.1063/1.4960669.

```
Hirvijoki, E., Pfefferlé, D., Lingam, M., Bhattacharjee, A., Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, Comisso, L., Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, & Candy, J.
```*Fluid moments of the nonlinear Landau collision operator*. United States. doi:10.1063/1.4960669.

```
Hirvijoki, E., Pfefferlé, D., Lingam, M., Bhattacharjee, A., Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, Comisso, L., Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, and Candy, J. Mon .
"Fluid moments of the nonlinear Landau collision operator". United States.
doi:10.1063/1.4960669.
```

```
@article{osti_22599932,
```

title = {Fluid moments of the nonlinear Landau collision operator},

author = {Hirvijoki, E. and Pfefferlé, D. and Lingam, M. and Bhattacharjee, A. and Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 and Comisso, L. and Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543 and Candy, J.},

abstractNote = {An important problem in plasma physics is the lack of an accurate and complete description of Coulomb collisions in associated fluid models. To shed light on the problem, this Letter introduces an integral identity involving the multivariate Hermite tensor polynomials and presents a method for computing exact expressions for the fluid moments of the nonlinear Landau collision operator. The proposed methodology provides a systematic and rigorous means of extending the validity of fluid models that have an underlying inverse-square force particle dynamics to arbitrary collisionality and flow.},

doi = {10.1063/1.4960669},

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}

}

DOI: 10.1063/1.4960669

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