# Gyrokinetic turbulence: between idealized estimates and a detailed analysis of nonlinear energy transfers

## Abstract

Using large resolution numerical simulations of gyrokinetic (GK) turbulence, spanning an interval ranging from the end of the fluid scales to the electron gyroradius, we study the energy transfers in the perpendicular direction for a proton–electron plasma in a slab equilibrium magnetic geometry. The plasma parameters employed here are relevant to kinetic Alfvén wave turbulence in solar wind conditions. In addition, we use an idealized test representation for the energy transfers between two scales, to aid our understanding of the diagnostics applicable to the nonlinear cascade in an infinite inertial range. For GK turbulence, a detailed analysis of nonlinear energy transfers that account for the separation of energy exchanging scales is performed. Starting from the study of the energy cascade and the scale locality problem, we show that the general nonlocal nature of GK turbulence, captured via locality functions, contains a subset of interactions that are deemed local, are scale invariant (i.e. a sign of asymptotic locality) and possess a locality exponent that can be recovered directly from measurements on the energy cascade. It is the first time that GK turbulence is shown to possess an asymptotic local component, even if the overall locality of interactions is nonlocal. The resultsmore »

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

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

- OSTI Identifier:
- 1437708

- Alternate Identifier(s):
- OSTI ID: 1526628

- Grant/Contract Number:
- AC02-05CH11231

- Resource Type:
- Published Article

- Journal Name:
- New Journal of Physics

- Additional Journal Information:
- Journal Name: New Journal of Physics Journal Volume: 19 Journal Issue: 4; Journal ID: ISSN 1367-2630

- Publisher:
- IOP Publishing

- Country of Publication:
- United Kingdom

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; gyrokinetic; plasma turbulence; nonlinear transfers; locality

### Citation Formats

```
Teaca, Bogdan, Jenko, Frank, and Told, Daniel. Gyrokinetic turbulence: between idealized estimates and a detailed analysis of nonlinear energy transfers. United Kingdom: N. p., 2017.
Web. doi:10.1088/1367-2630/aa6998.
```

```
Teaca, Bogdan, Jenko, Frank, & Told, Daniel. Gyrokinetic turbulence: between idealized estimates and a detailed analysis of nonlinear energy transfers. United Kingdom. doi:10.1088/1367-2630/aa6998.
```

```
Teaca, Bogdan, Jenko, Frank, and Told, Daniel. Sat .
"Gyrokinetic turbulence: between idealized estimates and a detailed analysis of nonlinear energy transfers". United Kingdom. doi:10.1088/1367-2630/aa6998.
```

```
@article{osti_1437708,
```

title = {Gyrokinetic turbulence: between idealized estimates and a detailed analysis of nonlinear energy transfers},

author = {Teaca, Bogdan and Jenko, Frank and Told, Daniel},

abstractNote = {Using large resolution numerical simulations of gyrokinetic (GK) turbulence, spanning an interval ranging from the end of the fluid scales to the electron gyroradius, we study the energy transfers in the perpendicular direction for a proton–electron plasma in a slab equilibrium magnetic geometry. The plasma parameters employed here are relevant to kinetic Alfvén wave turbulence in solar wind conditions. In addition, we use an idealized test representation for the energy transfers between two scales, to aid our understanding of the diagnostics applicable to the nonlinear cascade in an infinite inertial range. For GK turbulence, a detailed analysis of nonlinear energy transfers that account for the separation of energy exchanging scales is performed. Starting from the study of the energy cascade and the scale locality problem, we show that the general nonlocal nature of GK turbulence, captured via locality functions, contains a subset of interactions that are deemed local, are scale invariant (i.e. a sign of asymptotic locality) and possess a locality exponent that can be recovered directly from measurements on the energy cascade. It is the first time that GK turbulence is shown to possess an asymptotic local component, even if the overall locality of interactions is nonlocal. The results presented here and their implications are discussed from the perspective of previous findings reported in the literature and the idea of universality of GK turbulence.},

doi = {10.1088/1367-2630/aa6998},

journal = {New Journal of Physics},

number = 4,

volume = 19,

place = {United Kingdom},

year = {2017},

month = {4}

}

DOI: 10.1088/1367-2630/aa6998

*Citation information provided by*

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Web of Science

#### Figures / Tables:

_{x}, $k$

_{y}domains centered on zero, respectively. The slab case corresponds to $\hat{s}$ = 0. Note that the largest $k$ value that is fully captured in the same ($k$

_{x}, $k$

_{y}, $z$) domain, as considered in allmore »

Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*