# Multi-dimensional Vlasov simulations and modeling of trapped-electron-driven filamentation of electron plasma waves

## Abstract

Kinetic simulations of two-dimensional finite-amplitude electron plasma waves are performed in a one-wavelength long system. A systematic study of the most unstable linear sideband mode, in particular its growth rate γ and wavenumber k{sub y}, is carried out by scanning the amplitude and wavenumber of the initial wave. Simulation results are compared with numerical and analytical solutions to a two-dimensional nonlinear Schrödinger model [H. A. Rose and L. Yin, Phys. Plasmas 15, 042311 (2008)] and to the reduced model by Kruer et al. [Phys. Rev. Lett. 23, 838 (1969)] generalized to two dimensions.

- Authors:

- Lawrence Livermore National Laboratory, University of California, P.O. Box 808, Livermore, California 94551 (United States)
- Centre de Recherches en Physique des Plasmas, Association Euratom-Confédération Suisse, Ecole Polytechnique Fédérale de Lausanne, CRPP-PPB, CH-1015 Lausanne (Switzerland)
- Department of Mathematical Sciences, Rensselaer Polytechnic Institute, AE 301, 110 8th Street, Troy, New York 12180 (United States)
- Department of Electrical Engineering, University of California, Los Angeles, California 90095 (United States)

- Publication Date:

- OSTI Identifier:
- 22410372

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; ANALYTICAL SOLUTION; BOLTZMANN-VLASOV EQUATION; ELECTRON PLASMA WAVES; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; TRAPPED ELECTRONS; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS; WAVELENGTHS

### Citation Formats

```
Berger, R. L., E-mail: berger5@llnl.gov, Cohen, B. I., Brunner, S., E-mail: stephan.brunner@epfl.ch, Banks, J. W., and Winjum, B. J.
```*Multi-dimensional Vlasov simulations and modeling of trapped-electron-driven filamentation of electron plasma waves*. United States: N. p., 2015.
Web. doi:10.1063/1.4917482.

```
Berger, R. L., E-mail: berger5@llnl.gov, Cohen, B. I., Brunner, S., E-mail: stephan.brunner@epfl.ch, Banks, J. W., & Winjum, B. J.
```*Multi-dimensional Vlasov simulations and modeling of trapped-electron-driven filamentation of electron plasma waves*. United States. doi:10.1063/1.4917482.

```
Berger, R. L., E-mail: berger5@llnl.gov, Cohen, B. I., Brunner, S., E-mail: stephan.brunner@epfl.ch, Banks, J. W., and Winjum, B. J. Fri .
"Multi-dimensional Vlasov simulations and modeling of trapped-electron-driven filamentation of electron plasma waves". United States. doi:10.1063/1.4917482.
```

```
@article{osti_22410372,
```

title = {Multi-dimensional Vlasov simulations and modeling of trapped-electron-driven filamentation of electron plasma waves},

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

abstractNote = {Kinetic simulations of two-dimensional finite-amplitude electron plasma waves are performed in a one-wavelength long system. A systematic study of the most unstable linear sideband mode, in particular its growth rate γ and wavenumber k{sub y}, is carried out by scanning the amplitude and wavenumber of the initial wave. Simulation results are compared with numerical and analytical solutions to a two-dimensional nonlinear Schrödinger model [H. A. Rose and L. Yin, Phys. Plasmas 15, 042311 (2008)] and to the reduced model by Kruer et al. [Phys. Rev. Lett. 23, 838 (1969)] generalized to two dimensions.},

doi = {10.1063/1.4917482},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 5,

volume = 22,

place = {United States},

year = {2015},

month = {5}

}

DOI: 10.1063/1.4917482

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