# Theory of correlation effects in dusty plasmas

## Abstract

A theory of correlation effects in dusty plasmas based on a suitably augmented Debye Huckel approximation is proposed. A model which takes into account the confinement of the dust within the plasma (by external fields) is considered. The dispersion relation of compressional modes with correlation effects is obtained. Results show that strong coupling effects may be subdominant even when Γ ≫ 1. Thus, in the limit Γ→0 and/or κ → ∞, one obtains the weakly coupled dust thermal mode. In the range of values of Γ ≫ 1, the strong coupling effects scale with κ instead of Γ; increasing Γ increases the dust acoustic waves phase velocity C{sub DAW} in this regime. In the limit Γ≫1,κ≪1, one obtains the weakly coupled dust acoustic wave. Only in the limit Γ≫1,κ≥1, one obtains strong coupling effects, e.g., the dust lattice waves (κ=a/λ{sub d}, a is the mean particle distance and λ{sub d} is the Debye length). Observations from a number of experiments are explained.

- Authors:

- Department of Physics and Astrophysics, University of Delhi, Delhi 110007 (India)

- Publication Date:

- OSTI Identifier:
- 22408266

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 3; Other Information: (c) 2015 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; DEBYE LENGTH; DISPERSION RELATIONS; DISTANCE; DUSTS; PARTICLES; PHASE VELOCITY; PLASMA; PLASMA CONFINEMENT; SOUND WAVES; STRONG-COUPLING MODEL

### Citation Formats

```
Avinash, K.
```*Theory of correlation effects in dusty plasmas*. United States: N. p., 2015.
Web. doi:10.1063/1.4913576.

```
Avinash, K.
```*Theory of correlation effects in dusty plasmas*. United States. doi:10.1063/1.4913576.

```
Avinash, K. Sun .
"Theory of correlation effects in dusty plasmas". United States.
doi:10.1063/1.4913576.
```

```
@article{osti_22408266,
```

title = {Theory of correlation effects in dusty plasmas},

author = {Avinash, K.},

abstractNote = {A theory of correlation effects in dusty plasmas based on a suitably augmented Debye Huckel approximation is proposed. A model which takes into account the confinement of the dust within the plasma (by external fields) is considered. The dispersion relation of compressional modes with correlation effects is obtained. Results show that strong coupling effects may be subdominant even when Γ ≫ 1. Thus, in the limit Γ→0 and/or κ → ∞, one obtains the weakly coupled dust thermal mode. In the range of values of Γ ≫ 1, the strong coupling effects scale with κ instead of Γ; increasing Γ increases the dust acoustic waves phase velocity C{sub DAW} in this regime. In the limit Γ≫1,κ≪1, one obtains the weakly coupled dust acoustic wave. Only in the limit Γ≫1,κ≥1, one obtains strong coupling effects, e.g., the dust lattice waves (κ=a/λ{sub d}, a is the mean particle distance and λ{sub d} is the Debye length). Observations from a number of experiments are explained.},

doi = {10.1063/1.4913576},

journal = {Physics of Plasmas},

number = 3,

volume = 22,

place = {United States},

year = {Sun Mar 15 00:00:00 EDT 2015},

month = {Sun Mar 15 00:00:00 EDT 2015}

}