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

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

2011-09-06

arxiv.org/abs/1109.1039v1

Plasma Phys. Control. Fusion 49 (2007) 1583-1597

Physics

Computational Physics

Scientific paper

10.1088/0741-3335/49/9/015

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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