# Neutral Vlasov kinetic theory of magnetized plasmas

## Abstract

The low-frequency limit of Maxwell equations is considered in the Maxwell-Vlasov system. This limit produces a neutral Vlasov system that captures essential features of plasma dynamics, while neglecting radiation effects. Euler-Poincaré reduction theory is used to show that the neutral Vlasov kinetic theory possesses a variational formulation in both Lagrangian and Eulerian coordinates. By construction, the new model recovers all collisionless neutral models employed in plasma simulations. Then, comparisons between the neutral Vlasov system and hybrid kinetic-fluid models are presented in the linear regime.

- Authors:

- Department of Mathematics, University of Surrey, Guildford GU2 7XH (United Kingdom)
- Center for Mathematics and Computer Science (CWI), 1098 XG Amsterdam (Netherlands)

- Publication Date:

- OSTI Identifier:
- 22408043

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; FLUID MECHANICS; KINETIC EQUATIONS; LAGRANGIAN FUNCTION; MAGNETIZATION; MAXWELL EQUATIONS; PLASMA; PLASMA SIMULATION; RADIATION EFFECTS; VARIATIONAL METHODS

### Citation Formats

```
Tronci, Cesare, E-mail: c.tronci@surrey.ac.uk, and Camporeale, Enrico, E-mail: e.camporeale@cwi.nl.
```*Neutral Vlasov kinetic theory of magnetized plasmas*. United States: N. p., 2015.
Web. doi:10.1063/1.4907665.

```
Tronci, Cesare, E-mail: c.tronci@surrey.ac.uk, & Camporeale, Enrico, E-mail: e.camporeale@cwi.nl.
```*Neutral Vlasov kinetic theory of magnetized plasmas*. United States. doi:10.1063/1.4907665.

```
Tronci, Cesare, E-mail: c.tronci@surrey.ac.uk, and Camporeale, Enrico, E-mail: e.camporeale@cwi.nl. Sun .
"Neutral Vlasov kinetic theory of magnetized plasmas". United States.
doi:10.1063/1.4907665.
```

```
@article{osti_22408043,
```

title = {Neutral Vlasov kinetic theory of magnetized plasmas},

author = {Tronci, Cesare, E-mail: c.tronci@surrey.ac.uk and Camporeale, Enrico, E-mail: e.camporeale@cwi.nl},

abstractNote = {The low-frequency limit of Maxwell equations is considered in the Maxwell-Vlasov system. This limit produces a neutral Vlasov system that captures essential features of plasma dynamics, while neglecting radiation effects. Euler-Poincaré reduction theory is used to show that the neutral Vlasov kinetic theory possesses a variational formulation in both Lagrangian and Eulerian coordinates. By construction, the new model recovers all collisionless neutral models employed in plasma simulations. Then, comparisons between the neutral Vlasov system and hybrid kinetic-fluid models are presented in the linear regime.},

doi = {10.1063/1.4907665},

journal = {Physics of Plasmas},

number = 2,

volume = 22,

place = {United States},

year = {Sun Feb 15 00:00:00 EST 2015},

month = {Sun Feb 15 00:00:00 EST 2015}

}

DOI: 10.1063/1.4907665

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