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arXiv · 1109.1039

Generalizations of a Nonlinear Fluid Model for Void Formation in Dusty Plasmas

C. S. Ng·A. Bhattacharjee·S. Hu·Z. W. Ma·K. Avinash
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Abstract

New developments in the theory and numerical simulation of a recently proposed one-dimensional nonlinear time-dependent fluid model [K. Avinash, A. Bhattacharjee, and S. Hu, Phys. Rev. Lett. 90, 075001 (2003)] 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.

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C. S. Ng, A. Bhattacharjee, S. Hu, Z. W. Ma, K. Avinash. 2011-09-06. Generalizations of a Nonlinear Fluid Model for Void Formation in Dusty Plasmas. https://doi.org/10.1088/0741-3335%2F49%2F9%2F015

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