# A Drift-Kinetic Analytical Model for SOL Plasma Dynamics at Arbitrary Collisionality

## Abstract

A drift-kinetic model to describe the plasma dynamics in the scrape-off layer region of tokamak devices at arbitrary collisionality is derived. Our formulation is based on a gyroaveraged Lagrangian description of the charged particle motion, and the corresponding drift-kinetic Boltzmann equation that includes a full Coulomb collision operator. Using a Hermite-Laguerre velocity space decomposition of the gyroaveraged distribution function, a set of equations to evolve the coefficients of the expansion is presented. By evaluating explicitly the moments of the Coulomb collision operator, distribution functions arbitrarily far from equilibrium can be studied at arbitrary collisionalities. A fluid closure in the high-collisionality limit is presented, and the corresponding fluid equations are compared with previously-derived fluid models.

- 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:
- 1880262

- DOI:
- https://doi.org/10.7910/DVN/HZCZ0S

### Citation Formats

```
Jorge, R., Ricci, P., and Loureiro, N. F.
```*A Drift-Kinetic Analytical Model for SOL Plasma Dynamics at Arbitrary Collisionality*. United States: N. p., 2018.
Web. doi:10.7910/DVN/HZCZ0S.

```
Jorge, R., Ricci, P., & Loureiro, N. F.
```*A Drift-Kinetic Analytical Model for SOL Plasma Dynamics at Arbitrary Collisionality*. United States. doi:https://doi.org/10.7910/DVN/HZCZ0S

```
Jorge, R., Ricci, P., and Loureiro, N. F. 2018.
"A Drift-Kinetic Analytical Model for SOL Plasma Dynamics at Arbitrary Collisionality". United States. doi:https://doi.org/10.7910/DVN/HZCZ0S. https://www.osti.gov/servlets/purl/1880262. Pub date:Tue Oct 30 00:00:00 EDT 2018
```

```
@article{osti_1880262,
```

title = {A Drift-Kinetic Analytical Model for SOL Plasma Dynamics at Arbitrary Collisionality},

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

abstractNote = {A drift-kinetic model to describe the plasma dynamics in the scrape-off layer region of tokamak devices at arbitrary collisionality is derived. Our formulation is based on a gyroaveraged Lagrangian description of the charged particle motion, and the corresponding drift-kinetic Boltzmann equation that includes a full Coulomb collision operator. Using a Hermite-Laguerre velocity space decomposition of the gyroaveraged distribution function, a set of equations to evolve the coefficients of the expansion is presented. By evaluating explicitly the moments of the Coulomb collision operator, distribution functions arbitrarily far from equilibrium can be studied at arbitrary collisionalities. A fluid closure in the high-collisionality limit is presented, and the corresponding fluid equations are compared with previously-derived fluid models.},

doi = {10.7910/DVN/HZCZ0S},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2018},

month = {10}

}

Works referencing / citing this record:

##
A drift-kinetic analytical model for scrape-off layer plasma dynamics at arbitrary collisionality

journal, November 2017

- Jorge, R.; Ricci, P.; Loureiro, N. F.
- Journal of Plasma Physics, Vol. 83, Issue 6