# Kinetic simulations and reduced modeling of longitudinal sideband instabilities in non-linear electron plasma waves

## Abstract

Kinetic Vlasov simulations of one-dimensional finite amplitude Electron Plasma Waves are performed in a multi-wavelength long system. A systematic study of the most unstable linear sideband mode, in particular its growth rate γ and quasi- wavenumber δk, is carried out by scanning the amplitude and wavenumber of the initial wave. Simulation results are successfully compared against numerical and analytical solutions to the reduced model by Kruer et al. [Phys. Rev. Lett. 23, 838 (1969)] for the Trapped Particle Instability (TPI). A model recently suggested by Dodin et al. [Phys. Rev. Lett. 110, 215006 (2013)], which in addition to the TPI accounts for the so-called Negative Mass Instability because of a more detailed representation of the trapped particle dynamics, is also studied and compared with simulations.

- Authors:

- Centre de Recherches en Physique des Plasmas, Association Euratom-Confédération Suisse, Ecole Polytechnique Fédérale de Lausanne, CRPP-PPB, CH-1015 Lausanne (Switzerland)
- Lawrence Livermore National Laboratory, University of California, P.O. Box 808, Livermore, California 94551 (United States)
- Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543-0451 (United States)

- Publication Date:

- OSTI Identifier:
- 22299647

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 10; Other Information: (c) 2014 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; AMPLITUDES; ANALYTICAL SOLUTION; COMPARATIVE EVALUATIONS; ELECTRON PLASMA WAVES; NEGATIVE MASS INSTABILITY; NONLINEAR PROBLEMS; SIMULATION; TRAPPED-PARTICLE INSTABILITY; TRAPPING; WAVELENGTHS

### Citation Formats

```
Brunner, S., E-mail: stephan.brunner@epfl.ch, Hausammann, L., Berger, R. L., E-mail: berger5@llnl.gov, Cohen, B. I., and Valeo, E. J.
```*Kinetic simulations and reduced modeling of longitudinal sideband instabilities in non-linear electron plasma waves*. United States: N. p., 2014.
Web. doi:10.1063/1.4896753.

```
Brunner, S., E-mail: stephan.brunner@epfl.ch, Hausammann, L., Berger, R. L., E-mail: berger5@llnl.gov, Cohen, B. I., & Valeo, E. J.
```*Kinetic simulations and reduced modeling of longitudinal sideband instabilities in non-linear electron plasma waves*. United States. doi:10.1063/1.4896753.

```
Brunner, S., E-mail: stephan.brunner@epfl.ch, Hausammann, L., Berger, R. L., E-mail: berger5@llnl.gov, Cohen, B. I., and Valeo, E. J. Wed .
"Kinetic simulations and reduced modeling of longitudinal sideband instabilities in non-linear electron plasma waves". United States. doi:10.1063/1.4896753.
```

```
@article{osti_22299647,
```

title = {Kinetic simulations and reduced modeling of longitudinal sideband instabilities in non-linear electron plasma waves},

author = {Brunner, S., E-mail: stephan.brunner@epfl.ch and Hausammann, L. and Berger, R. L., E-mail: berger5@llnl.gov and Cohen, B. I. and Valeo, E. J.},

abstractNote = {Kinetic Vlasov simulations of one-dimensional finite amplitude Electron Plasma Waves are performed in a multi-wavelength long system. A systematic study of the most unstable linear sideband mode, in particular its growth rate γ and quasi- wavenumber δk, is carried out by scanning the amplitude and wavenumber of the initial wave. Simulation results are successfully compared against numerical and analytical solutions to the reduced model by Kruer et al. [Phys. Rev. Lett. 23, 838 (1969)] for the Trapped Particle Instability (TPI). A model recently suggested by Dodin et al. [Phys. Rev. Lett. 110, 215006 (2013)], which in addition to the TPI accounts for the so-called Negative Mass Instability because of a more detailed representation of the trapped particle dynamics, is also studied and compared with simulations.},

doi = {10.1063/1.4896753},

journal = {Physics of Plasmas},

number = 10,

volume = 21,

place = {United States},

year = {Wed Oct 15 00:00:00 EDT 2014},

month = {Wed Oct 15 00:00:00 EDT 2014}

}