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# Nonlinear phase bores in drift wave-zonal flow dynamics

## Abstract

A minimal model of nonlinear phase dynamics in drift waves is shown to support phase bore solutions. Coupled nonlinear equations for amplitude, phase, and zonal flow are derived for the Hasegawa-Mima system and specialized to the case of spatiotemporally constant amplitude. In that limit, phase curvature (finite second derivative of the phase with respect to the radius) alone generates propagating shear flows. The phase field evolves nonlinearly by a competition between phase steepening and dispersion. The analytical solution of the model reveals that the phase bore solutions so obtained realize the concept of a phase slip in a concrete dynamical model of drift wave dynamics. Here, the implications for phase turbulence are discussed.

- Authors:

- Univ. of California, San Diego, CA (United States). Dept. of Physics; Univ. of Maryland, College Park, MD (United States). Dept. of Physics
- Univ. of California, San Diego, CA (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- Univ. of California, San Diego, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

- OSTI Identifier:
- 1570246

- Alternate Identifier(s):
- OSTI ID: 1570026

- Grant/Contract Number:
- FG02-04ER54738

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 10; 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; turbulence theory and modeling; flow dynamics; nonlinear dynamics

### Citation Formats

```
Kang, H., and Diamond, P. H. Nonlinear phase bores in drift wave-zonal flow dynamics. United States: N. p., 2019.
Web. doi:10.1063/1.5111987.
```

```
Kang, H., & Diamond, P. H. Nonlinear phase bores in drift wave-zonal flow dynamics. United States. doi:10.1063/1.5111987.
```

```
Kang, H., and Diamond, P. H. Thu .
"Nonlinear phase bores in drift wave-zonal flow dynamics". United States. doi:10.1063/1.5111987.
```

```
@article{osti_1570246,
```

title = {Nonlinear phase bores in drift wave-zonal flow dynamics},

author = {Kang, H. and Diamond, P. H.},

abstractNote = {A minimal model of nonlinear phase dynamics in drift waves is shown to support phase bore solutions. Coupled nonlinear equations for amplitude, phase, and zonal flow are derived for the Hasegawa-Mima system and specialized to the case of spatiotemporally constant amplitude. In that limit, phase curvature (finite second derivative of the phase with respect to the radius) alone generates propagating shear flows. The phase field evolves nonlinearly by a competition between phase steepening and dispersion. The analytical solution of the model reveals that the phase bore solutions so obtained realize the concept of a phase slip in a concrete dynamical model of drift wave dynamics. Here, the implications for phase turbulence are discussed.},

doi = {10.1063/1.5111987},

journal = {Physics of Plasmas},

number = 10,

volume = 26,

place = {United States},

year = {2019},

month = {10}

}

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