HIDPL Articles
Permanent URI for this collectionhttps://hdl.handle.net/2104/5505
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Browsing HIDPL Articles by Author "Ding, Zhiyue"
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Item A machine learning-based Bayesian optimization solution to nonlinear responses in dusty plasmas(IOP PUblishing, 2021-06) Ding, Zhiyue; Matthews, Lorin; Hyde, TruellNonlinear frequency response analysis is a widely used method for determining system dynamics in the presence of nonlinearities. In dusty plasmas, the plasma–grain interaction (e.g. grain charging fluctuations) can be characterized by a single-particle non-linear response analysis, while grain–grain non-linear interactions can be determined by a multi-particle non-linear response analysis. Here a machine learning-based method to determine the equation of motion in the non-linear response analysis for dust particles in plasmas is presented. Searching the parameter space in a Bayesian manner allows an efficient optimization of the parameters needed to match simulated non-linear response curves to experimentally measured non-linear response curves.Item Nonlinear mode coupling and internal resonance observed in a dusty plasma(New Journal of Physics, 2009-10) Ding, Zhiyue; Qiao, Ke; Ernst, N.; Kong, Jie; Chen, M.; Matthews, L.S.; Hyde, T. W.In this paper, we report the first experimental observation of internal resonance in a dusty plasma, which shows the intrinsic nonlinearities of dust interactions in plasmas. When driving a system of vertically aligned dust particle pairs in the vertical direction, the horizontal motion is found to be excited during onset of internal resonance when the higher-frequency horizontal sloshing mode is nonlinearly coupled to the vertical breathing mode through the 1:2 commensurable relation. A theoretical model of the nonlinear interaction of dust particles in plasma is also provided and the results of the theoretical model are shown to match experimental observations.Item Nonlinear response of vertical paired structure in complex plasma(Plasma Physics and Controlled Fusion, 2019-03-21) Ding, Zhiyue; Qiao, Ke; Kong, Jie; Matthews, Lorin Swint.; Hyde, Truell Wayne.The effect of the ion wake downstream of grains immersed in a flowing plasma is observed experimentally through the apparent non-reciprocal grain–grain interactions. Here we extend amplitude-frequency response analysis to examine the nonlinear components of the interaction of a dust particle pair aligned with the ion flow. The particle pair is modeled as two forced coupled oscillators, and a new coordinate system is introduced in which the breathing and sloshing modes are linearly decoupled. Multiple-scale analysis is used to derive analytical expressions for the response in the vertical direction for each mode in this coordinate system. By fitting the analytical expressions to experimentally measured response curves, the nonlinear part of the wake-modified particle–particle interaction is determined and identified as the source for the coupling between the sloshing and breathing modes. It is found that the restoring force acting on the downstream particle is more linear, thus stabilizing the oscillations of the downstream grain.