| Abstract: | 本計畫為期三年，為本實驗室近數年有關強耦合複雜系統非線性動力行為的系列實驗研究。強耦合複雜系統可在外界驅動或熱擾動下展現豐富複雜的非線性多尺度時空動力行為，為近年來複雜系統領域研究的重要議題。近三年來，我們從事二維桿狀粒子液體微結構與動力行為研究，建立三維液固體微粒軌跡追蹤技術系統，探討弱失穩微粒電漿聲波中突波與低振幅缺陷的關聯，發展多維實驗模態拆解法(multi-dimensional empirical mode decomposition (MDEMD)，證實可將微粒電漿氣體自發聲紊波，視為不同尺度模態，環繞低振幅洞絲(low amplitude hole filaments)交相作用聲渦波 (acoustic vortices)之組合；進行水面法拉第突波的先期預警機制，血管內皮細胞在癌細胞入侵後因後者聚合所強化之自發紊流等實驗研究，獲得重要成果。本計畫中將進一步以實驗為主延伸探討上述諸系統之多尺度動力行為，探討下列重要議題: 1) 微粒電漿聲波的至亂動力程序，與聲紊波中各種尺度模態如何交互作用，以形成超高振幅之突波與低振幅缺陷。2) 二維冷微粒電漿液體中，熱擾動激發聲子紊波各尺度模態與不同晶格晶塊微結構的動態關聯，及其如何影響單一粒子躍動(hopping)與結構重組。3)焠冷三維微粒電漿液體至晶體的微觀動力行為與結構重組。 4)血管內皮細胞與不同運動能力癌細胞混合體聚合裂解結構與自驅運動關聯。5) 細胞混合體、二維大腸桿菌等自驅紊流中不同尺度渦漩之糾纏與交互作用。6)水表面波之非線性多重尺度動力行為。7) 其他新興議題。上述議題均為相關領域中之前沿議題，其進行有助瞭解巨觀至微觀複雜系統之普世行為。 ;This 3-year project continues our series researches on the nonlinear dynamics of dusty plasmas and complex systems. Nonlinear extended media driven by external persistent or stochastic drives can exhibits rich multiscale spatiotemporal dynamical behaviors. In the past three years, we conducted the following frontier researches: a) the micro-structure and dynamics of 2D liquids composed of dense rods with different aspect ratios, b) establishing 3D particle trajectory tracking technique for exploring micro-motion and structural rearrangement of 3D dusty plasma liquids, c) developing multi-dimensional empirical mode decomposition method to demonstrate that the 3D dust acoustic wave turbulence can be viewed as a zoo of multiscale interacting and entangling acoustic vortices with helical wave fronts winding around low amplitude filaments, d) demonstrating the rejuvenated dynamics of 2D endothelial cells and turbulent like cancer cell motion, after the invasion of low fraction of more motile cancer into aged endothelial cells, through cancer cell aggregation, and e) identifying the precursor of Faraday rogue waves through the preceded surrounding waveform. In this new project, extending from our past researches, we will conduct the following researches: a) the transition to wave turbulence and how the nonlinear interaction and synchronization of different scale acoustic wave mode can lead to the formation of extremely low and high amplitude events, in the dust acoustic wave turbulence, b) the nonlinear mode-mode interaction between different phonon modes and the correlation with spatiotemporal evolution of different crystalline ordered domains in the 2D dusty plasma liquids and solid around freezing, c) the spatiotemporal evolution of micro-structure and motion in the quenched 3D dusty plasma liquid, d) the aggregation and motion of endothelia cells, cancer cells, and their mixtures under different concentration ratio and different motilities, and e) dynamics of wind driven water surface wave, and their transition to wave turbulence. f) nonlinear dynamics in other new systems. The above frontier studies, especially through the developed multi-dimensional empirical mode decomposition method, are important for understanding the generic behaviors of multi-scale excitations not only for dusty plasma systems, but also for other nonlinear extended complex systems. |
