Nonlinear Dynamics of Surface Dust Vortex and Dust Zonal Flow Systems
P. K. Shukla, Dastgeer Shaikh+
Institut für Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany
+Institute of Geophysics and Planetary Physics, University of California Riverside, CA 92507
PACS: 52.27.Lw, 52.35.-q
Abstract
We present analytical and simulation studies of highly resolved
dust fluid flows involving nonlinearly coupled incompressible surface dust
vortex modes (SDVMs) and dust zonal flows (DZFs) in nonuniform
unmagnetized dusty plasmas. For this purpose, we use the hydrodynamic
equations for the dust fluid and Boltzmann distributed electrons and ions,
and obtain a set of equations which exhibit nonlinear couplings between the
SDVMs and DZFs. The nonlinear equations are then used to investigate the
parametric excitation of DZFs by the Reynolds stresses of the SDVMs. Large
scale SDVMs emerge through nonlinear interactions with DZFs, and they
suppress the dust particle transport across the density gradient. By
contrast, DZFs possess short scale vortices with a higher turbulent
transport. The relevance of our investigation to the role of coherent
structures in a nonuniform dusty plasma is discussed.