## Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution

## Abstract

Here, this paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfvén waves, the fundamental building block of astrophysical plasma turbulence. The analytical solution, derived in the weak turbulence limit using the equations of incompressible MHD, is compared to a nonlinear gyrokinetic simulation of an Alfvén wave collision. Finally, the agreement between these methods signifies that the incompressible solution satisfactorily describes the essential dynamics of the nonlinear energy transfer, even under the weakly collisional plasma conditions relevant to many astrophysical environments.

- Authors:

- Univ. of Iowa, Iowa City, IA (United States)
- Univ. of Maryland, College Park, MD (United States)

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

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

- OSTI Identifier:
- 1565008

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 20; Journal Issue: 7; 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

```
Nielson, K. D., Howes, G. G., and Dorland, W. Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution. United States: N. p., 2013.
Web. doi:10.1063/1.4812807.
```

```
Nielson, K. D., Howes, G. G., & Dorland, W. Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution. United States. doi:10.1063/1.4812807.
```

```
Nielson, K. D., Howes, G. G., and Dorland, W. Mon .
"Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution". United States. doi:10.1063/1.4812807. https://www.osti.gov/servlets/purl/1565008.
```

```
@article{osti_1565008,
```

title = {Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution},

author = {Nielson, K. D. and Howes, G. G. and Dorland, W.},

abstractNote = {Here, this paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfvén waves, the fundamental building block of astrophysical plasma turbulence. The analytical solution, derived in the weak turbulence limit using the equations of incompressible MHD, is compared to a nonlinear gyrokinetic simulation of an Alfvén wave collision. Finally, the agreement between these methods signifies that the incompressible solution satisfactorily describes the essential dynamics of the nonlinear energy transfer, even under the weakly collisional plasma conditions relevant to many astrophysical environments.},

doi = {10.1063/1.4812807},

journal = {Physics of Plasmas},

number = 7,

volume = 20,

place = {United States},

year = {2013},

month = {7}

}

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Cited by: 17 works

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