Generalizations of a Nonlinear Fluid Model for Void Formation in Dusty Plasmas
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.
Keywords
Cite
@article{arxiv.1109.1039,
title = {Generalizations of a Nonlinear Fluid Model for Void Formation in Dusty Plasmas},
author = {C. S. Ng and A. Bhattacharjee and S. Hu and Z. W. Ma and K. Avinash},
journal= {arXiv preprint arXiv:1109.1039},
year = {2011}
}