# Two dimensional kinetic analysis of electrostatic harmonic plasma waves

## Abstract

Electrostatic harmonic Langmuir waves are virtual modes excited in weakly turbulent plasmas, first observed in early laboratory beam-plasma experiments as well as in rocket-borne active experiments in space. However, their unequivocal presence was confirmed through computer simulated experiments and subsequently theoretically explained. The peculiarity of harmonic Langmuir waves is that while their existence requires nonlinear response, their excitation mechanism and subsequent early time evolution are governed by essentially linear process. One of the unresolved theoretical issues regards the role of nonlinear wave-particle interaction process over longer evolution time period. Another outstanding issue is that existing theories for these modes are limited to one-dimensional space. The present paper carries out two dimensional theoretical analysis of fundamental and (first) harmonic Langmuir waves for the first time. The result shows that harmonic Langmuir wave is essentially governed by (quasi)linear process and that nonlinear wave-particle interaction plays no significant role in the time evolution of the wave spectrum. The numerical solutions of the two-dimensional wave spectra for fundamental and harmonic Langmuir waves are also found to be consistent with those obtained by direct particle-in-cell simulation method reported in the literature.

- Authors:

- Instituto de Física, UFRGS, 91501-970 Porto Alegre, RS (Brazil)
- IPST, University of Maryland, College Park, Maryland 20742 (United States)
- (Korea, Republic of)

- Publication Date:

- OSTI Identifier:
- 22598987

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BEAMS; COMPUTERIZED SIMULATION; EXCITATION; LANGMUIR FREQUENCY; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; ONE-DIMENSIONAL CALCULATIONS; PARTICLE INTERACTIONS; PARTICLES; PLASMA WAVES; ROCKETS; SPECTRA; TURBULENCE; TWO-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Fonseca-Pongutá, E. C., Ziebell, L. F., Gaelzer, R., Yoon, P. H., and SSR, Kyung Hee University, Yongin, Gyeonggi 446-701.
```*Two dimensional kinetic analysis of electrostatic harmonic plasma waves*. United States: N. p., 2016.
Web. doi:10.1063/1.4953898.

```
Fonseca-Pongutá, E. C., Ziebell, L. F., Gaelzer, R., Yoon, P. H., & SSR, Kyung Hee University, Yongin, Gyeonggi 446-701.
```*Two dimensional kinetic analysis of electrostatic harmonic plasma waves*. United States. doi:10.1063/1.4953898.

```
Fonseca-Pongutá, E. C., Ziebell, L. F., Gaelzer, R., Yoon, P. H., and SSR, Kyung Hee University, Yongin, Gyeonggi 446-701. Wed .
"Two dimensional kinetic analysis of electrostatic harmonic plasma waves". United States.
doi:10.1063/1.4953898.
```

```
@article{osti_22598987,
```

title = {Two dimensional kinetic analysis of electrostatic harmonic plasma waves},

author = {Fonseca-Pongutá, E. C. and Ziebell, L. F. and Gaelzer, R. and Yoon, P. H. and SSR, Kyung Hee University, Yongin, Gyeonggi 446-701},

abstractNote = {Electrostatic harmonic Langmuir waves are virtual modes excited in weakly turbulent plasmas, first observed in early laboratory beam-plasma experiments as well as in rocket-borne active experiments in space. However, their unequivocal presence was confirmed through computer simulated experiments and subsequently theoretically explained. The peculiarity of harmonic Langmuir waves is that while their existence requires nonlinear response, their excitation mechanism and subsequent early time evolution are governed by essentially linear process. One of the unresolved theoretical issues regards the role of nonlinear wave-particle interaction process over longer evolution time period. Another outstanding issue is that existing theories for these modes are limited to one-dimensional space. The present paper carries out two dimensional theoretical analysis of fundamental and (first) harmonic Langmuir waves for the first time. The result shows that harmonic Langmuir wave is essentially governed by (quasi)linear process and that nonlinear wave-particle interaction plays no significant role in the time evolution of the wave spectrum. The numerical solutions of the two-dimensional wave spectra for fundamental and harmonic Langmuir waves are also found to be consistent with those obtained by direct particle-in-cell simulation method reported in the literature.},

doi = {10.1063/1.4953898},

journal = {Physics of Plasmas},

number = 6,

volume = 23,

place = {United States},

year = {Wed Jun 15 00:00:00 EDT 2016},

month = {Wed Jun 15 00:00:00 EDT 2016}

}