### Abstract

New developments in the theory and numerical simulation of a recently proposed one-dimensional nonlinear time-dependent fluid model (Avinash K, Bhattacharjee A and Hu S 2003 Phys. Rev. Lett. 90 075001) for void formation in dusty plasmas are presented. The model describes an initial instability caused by the ion drag, rapid nonlinear growth, and a nonlinear saturation mechanism that realizes a quasi-steady state containing a void. The earlier one-dimensional model has been extended to two and three dimensions (the latter, assuming spherical symmetry), using a more complete set of dynamical equations than was used in the earlier one-dimensional formulation. The present set of equations includes an ion continuity equation and a nonlinear ion drag operator. Qualitative features of void formation are shown to be robust with respect to different functional forms of the ion drag operator.

Original language | English (US) |
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Article number | 015 |

Pages (from-to) | 1583-1597 |

Number of pages | 15 |

Journal | Plasma Physics and Controlled Fusion |

Volume | 49 |

Issue number | 9 |

DOIs | |

State | Published - Sep 1 2007 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear Energy and Engineering
- Condensed Matter Physics

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## Cite this

*Plasma Physics and Controlled Fusion*,

*49*(9), 1583-1597. [015]. https://doi.org/10.1088/0741-3335/49/9/015