# Shear waves in an inhomogeneous strongly coupled dusty plasma

## Abstract

The properties of electrostatic transverse shear waves propagating in a strongly coupled dusty plasma with an equilibrium density gradient are examined using the generalized hydrodynamic (GH) equation. In the usual kinetic limit, the resulting equation has similarity to zero energy Schrodinger's equation. This has helped in obtaining some exact eigenmode solutions in both Cartesian and cylindrical geometries for certain nontrivial density profiles. The corresponding velocity profiles and the discrete eigenfrequencies are obtained for several interesting situations and their physics discussed.

- Authors:

- Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700 064 (India)

- Publication Date:

- OSTI Identifier:
- 22043480

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 18; Journal Issue: 9; Other Information: (c) 2011 American Institute of Physics; 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; CYLINDRICAL CONFIGURATION; DENSITY; EIGENFREQUENCY; EIGENFUNCTIONS; EIGENVALUES; EQUILIBRIUM; PLASMA; PLASMA DENSITY; PLASMA WAVES; SCHROEDINGER EQUATION

### Citation Formats

```
Janaki, M. S., Banerjee, D., and Chakrabarti, N.
```*Shear waves in an inhomogeneous strongly coupled dusty plasma*. United States: N. p., 2011.
Web. doi:10.1063/1.3641963.

```
Janaki, M. S., Banerjee, D., & Chakrabarti, N.
```*Shear waves in an inhomogeneous strongly coupled dusty plasma*. United States. doi:10.1063/1.3641963.

```
Janaki, M. S., Banerjee, D., and Chakrabarti, N. Thu .
"Shear waves in an inhomogeneous strongly coupled dusty plasma". United States. doi:10.1063/1.3641963.
```

```
@article{osti_22043480,
```

title = {Shear waves in an inhomogeneous strongly coupled dusty plasma},

author = {Janaki, M. S. and Banerjee, D. and Chakrabarti, N.},

abstractNote = {The properties of electrostatic transverse shear waves propagating in a strongly coupled dusty plasma with an equilibrium density gradient are examined using the generalized hydrodynamic (GH) equation. In the usual kinetic limit, the resulting equation has similarity to zero energy Schrodinger's equation. This has helped in obtaining some exact eigenmode solutions in both Cartesian and cylindrical geometries for certain nontrivial density profiles. The corresponding velocity profiles and the discrete eigenfrequencies are obtained for several interesting situations and their physics discussed.},

doi = {10.1063/1.3641963},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 9,

volume = 18,

place = {United States},

year = {2011},

month = {9}

}

DOI: 10.1063/1.3641963

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