# Large amplitude ion-acoustic double layers in a double Maxwellian electron plasma

## Abstract

A finite amplitude theory for an ion-acoustic double layer (DL) in a plasma with cold ions and two distinct groups of Boltzmann-Maxwellian distributed hot electrons is presented. Conditions are obtained under which large amplitude stationary double layers can exist. For physical parameters of interest, the DL profiles and the relationship between the maximum DL amplitude and the Mach number are found. A perturbation technique is introduced to derive a modified Korteweg-de Vries (MKdV) equation which governs the dynamics of a weak double layer. It is found that the parameter regimes for the existence of small and finite amplitude DL are not complementary to each other. The relevance of this investigation to space and laboratory plasmas is pointed out.

- Authors:

- Publication Date:

- Research Org.:
- Institut fuer Theoretische Physik, Ruhr-Universitaet Bochum, D-4630 Bochum 1, Federal Republic of Germany

- OSTI Identifier:
- 5208468

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys. Fluids; (United States); Journal Volume: 29:10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLD PLASMA; COULOMB FIELD; ION ACOUSTIC WAVES; HOT PLASMA; ACCELERATION; AMPLITUDES; BOLTZMANN STATISTICS; DYNAMICS; ELECTRONS; IONS; KORTEWEG-DE VRIES EQUATION; MACH NUMBER; MODIFICATIONS; PERTURBATION THEORY; CHARGED PARTICLES; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; ION WAVES; LEPTONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; PLASMA WAVES; VELOCITY; 700108* - Fusion Energy- Plasma Research- Wave Phenomena; 700105 - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)

### Citation Formats

```
Bharuthram, R., and Shukla, P.K.
```*Large amplitude ion-acoustic double layers in a double Maxwellian electron plasma*. United States: N. p., 1986.
Web. doi:10.1063/1.865839.

```
Bharuthram, R., & Shukla, P.K.
```*Large amplitude ion-acoustic double layers in a double Maxwellian electron plasma*. United States. doi:10.1063/1.865839.

```
Bharuthram, R., and Shukla, P.K. Wed .
"Large amplitude ion-acoustic double layers in a double Maxwellian electron plasma". United States.
doi:10.1063/1.865839.
```

```
@article{osti_5208468,
```

title = {Large amplitude ion-acoustic double layers in a double Maxwellian electron plasma},

author = {Bharuthram, R. and Shukla, P.K.},

abstractNote = {A finite amplitude theory for an ion-acoustic double layer (DL) in a plasma with cold ions and two distinct groups of Boltzmann-Maxwellian distributed hot electrons is presented. Conditions are obtained under which large amplitude stationary double layers can exist. For physical parameters of interest, the DL profiles and the relationship between the maximum DL amplitude and the Mach number are found. A perturbation technique is introduced to derive a modified Korteweg-de Vries (MKdV) equation which governs the dynamics of a weak double layer. It is found that the parameter regimes for the existence of small and finite amplitude DL are not complementary to each other. The relevance of this investigation to space and laboratory plasmas is pointed out.},

doi = {10.1063/1.865839},

journal = {Phys. Fluids; (United States)},

number = ,

volume = 29:10,

place = {United States},

year = {Wed Oct 01 00:00:00 EDT 1986},

month = {Wed Oct 01 00:00:00 EDT 1986}

}