# Particle in cell simulations of Buneman instability of a current-driven plasma with q-nonextensive electron velocity distribution

## Abstract

The nonlinear evolution of low frequency Buneman instability in an unmagnetized current-driven plasma with q-nonextensive electron velocity distribution is investigated using particle in cell simulation. Simulation results show that the generation of electron phase space holes and the counter-streaming current induced in the plasma strongly depend on the q-parameter. It is found that by increasing the nonextensive parameter, the distribution of electron density becomes highly peaked. This density steepening or grating-like pattern occurs at the saturation time. In addition, a generalized dispersion relation is obtained using the kinetic theory. Analysis of the dispersion relation and the temporal evolution of the electric field energy density reveal that the growth rate of instability increases by increasing the q-parameter. Finally, the results of Maxwellian and q-nonextensive velocity distributions have been compared and discussed.

- Authors:

- Laser and Plasma Research Institute, Shahid Beheshti University, G.C., Tehran (Iran, Islamic Republic of)
- Faculty of Physics, Shahrood University, Shahrood (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 22303631

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 9; Other Information: (c) 2014 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; CURRENTS; DISPERSION RELATIONS; DISTRIBUTION; ELECTRIC FIELDS; ELECTRON DENSITY; ELECTRONS; ENERGY DENSITY; NONLINEAR PROBLEMS; PHASE SPACE; PLASMA; PLASMA INSTABILITY; PLASMA SIMULATION

### Citation Formats

```
Niknam, A. R., E-mail: a-niknam@sbu.ac.ir, Roozbahani, H., Komaizi, D., and Hashemzadeh, M.
```*Particle in cell simulations of Buneman instability of a current-driven plasma with q-nonextensive electron velocity distribution*. United States: N. p., 2014.
Web. doi:10.1063/1.4896243.

```
Niknam, A. R., E-mail: a-niknam@sbu.ac.ir, Roozbahani, H., Komaizi, D., & Hashemzadeh, M.
```*Particle in cell simulations of Buneman instability of a current-driven plasma with q-nonextensive electron velocity distribution*. United States. doi:10.1063/1.4896243.

```
Niknam, A. R., E-mail: a-niknam@sbu.ac.ir, Roozbahani, H., Komaizi, D., and Hashemzadeh, M. Mon .
"Particle in cell simulations of Buneman instability of a current-driven plasma with q-nonextensive electron velocity distribution". United States. doi:10.1063/1.4896243.
```

```
@article{osti_22303631,
```

title = {Particle in cell simulations of Buneman instability of a current-driven plasma with q-nonextensive electron velocity distribution},

author = {Niknam, A. R., E-mail: a-niknam@sbu.ac.ir and Roozbahani, H. and Komaizi, D. and Hashemzadeh, M.},

abstractNote = {The nonlinear evolution of low frequency Buneman instability in an unmagnetized current-driven plasma with q-nonextensive electron velocity distribution is investigated using particle in cell simulation. Simulation results show that the generation of electron phase space holes and the counter-streaming current induced in the plasma strongly depend on the q-parameter. It is found that by increasing the nonextensive parameter, the distribution of electron density becomes highly peaked. This density steepening or grating-like pattern occurs at the saturation time. In addition, a generalized dispersion relation is obtained using the kinetic theory. Analysis of the dispersion relation and the temporal evolution of the electric field energy density reveal that the growth rate of instability increases by increasing the q-parameter. Finally, the results of Maxwellian and q-nonextensive velocity distributions have been compared and discussed.},

doi = {10.1063/1.4896243},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 9,

volume = 21,

place = {United States},

year = {2014},

month = {9}

}