# Theory of the Drift-Wave Instability at Arbitrary Collisionality

## Abstract

We introduce a framework, based on the expansion of the distribution function on a Hermite- Laguerre polynomial basis, to study the effects of collisions on magnetized plasma instabilities at arbitrary mean-free path. Focusing on the drift-wave instability, we show that our framework allows retrieving established collisional and collisionless limits. At the intermediate collisionalities relevant for present and future magnetic nuclear fusion devices, deviations with respect to collision operators used in state-of-the-art turbulence simulation codes show the need for retaining the full Coulomb operator in order to obtain both the correct instability growth rate and eigenmode spectrum, with potentially important implications to the understanding of plasma turbulence. The exponential convergence of the spectral representation that we propose makes the representation of the velocity space dependence, including the full collision operator, optimally efficient.

- Authors:

- Publication Date:

- DOE Contract Number:
- FG02-91ER54109

- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center

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

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

- OSTI Identifier:
- 1880563

- DOI:
- https://doi.org/10.7910/DVN/CNYZC6

### Citation Formats

```
Jorge, R., Ricci, P., and Loureiro, N. F.
```*Theory of the Drift-Wave Instability at Arbitrary Collisionality*. United States: N. p., 2019.
Web. doi:10.7910/DVN/CNYZC6.

```
Jorge, R., Ricci, P., & Loureiro, N. F.
```*Theory of the Drift-Wave Instability at Arbitrary Collisionality*. United States. doi:https://doi.org/10.7910/DVN/CNYZC6

```
Jorge, R., Ricci, P., and Loureiro, N. F. 2019.
"Theory of the Drift-Wave Instability at Arbitrary Collisionality". United States. doi:https://doi.org/10.7910/DVN/CNYZC6. https://www.osti.gov/servlets/purl/1880563. Pub date:Fri Jan 04 00:00:00 EST 2019
```

```
@article{osti_1880563,
```

title = {Theory of the Drift-Wave Instability at Arbitrary Collisionality},

author = {Jorge, R. and Ricci, P. and Loureiro, N. F.},

abstractNote = {We introduce a framework, based on the expansion of the distribution function on a Hermite- Laguerre polynomial basis, to study the effects of collisions on magnetized plasma instabilities at arbitrary mean-free path. Focusing on the drift-wave instability, we show that our framework allows retrieving established collisional and collisionless limits. At the intermediate collisionalities relevant for present and future magnetic nuclear fusion devices, deviations with respect to collision operators used in state-of-the-art turbulence simulation codes show the need for retaining the full Coulomb operator in order to obtain both the correct instability growth rate and eigenmode spectrum, with potentially important implications to the understanding of plasma turbulence. The exponential convergence of the spectral representation that we propose makes the representation of the velocity space dependence, including the full collision operator, optimally efficient.},

doi = {10.7910/DVN/CNYZC6},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2019},

month = {1}

}

Works referencing / citing this record:

##
Theory of the Drift-Wave Instability at Arbitrary Collisionality

journal, October 2018

- Jorge, R.; Ricci, P.; Loureiro, N. F.
- Physical Review Letters, Vol. 121, Issue 16