Large Scale Interface Dynamics in Energy-Driven Condensed Matter Systems

电话：+86-0571 - 88888888 研究者考虑了具有多尺度行为、时空相互作用和大尺度组织的流体和固体界面。 该项目的一个组成部分集中在引力和表面张力引起的粘性流体中的自由表面不稳定性的演变，这会引起诸如流体液滴，脊和射流等相干结构。微扰技术和计算研究导致了对大尺度凝结和凝结过程的描述。 该项目的第二个组成部分涉及材料微观结构的动态模型。 本文从动力学发展的角度研究了具有非局部相互作用的系统（如嵌段共聚物混合物）中的图案化，利用形式和数值近似以及产生统计描述的均匀化技术。 本文还研究了晶体表面演化和图案形成方程中的晶界运动，试图从能量和几何角度描述奇异结构。 研究人员研究流体和固体界面如何在复杂的大型系统中移动和相互作用。 模型和模拟开发，用于解释实验室观察，并有能力预测和控制动态设计和制造。 流体流动的研究应用范围从工业涂料到地球物理形态学，如洞穴形成. 感兴趣的固体系统包括嵌段共聚物，“设计师”材料，为纳米工程提供了相当大的希望。该项目还包括教育目标，使本科生接触建模和计算，并培养研究生从事科学事业。

GlasnerDMS-0807423 The investigator considers fluid and solid interfaces thathave multiscale behavior, spatiotemporal interaction and largescale organization. One component of this project focuses on theevolution of gravitational and surface tension induced freesurface instabilities in viscous fluids, which give rise tocoherent structures like fluid droplets, ridges and jets. Perturbative techniques and computational studies lead toward adescription of large-scale condensation and geophysicalprocesses. A second component of the project involves dynamicalmodels of material microstructures. Patterning in systems withnonlocal interactions, such as block copolymer mixtures, isstudied from the point of view of dynamical development,utilizing formal and numerical approximations, and homogenizationtechniques that yield statistical descriptions. The motion ofgrain boundaries in crystalline surface evolution and patternformation equations also is investigated, seeking to characterizethe singular structures that emerge both from energetic andgeometric perspectives. The investigator studies how fluid and solid interfaces moveand interact in complicated, large systems. Models andsimulations are developed that are used to explain laboratoryobservations and that have capabilities to predict and controldynamics for design and manufacturing. Fluid flows that arestudied have applications ranging from industrial coatings togeophysical morphology, such as cave formations. The solidsystems of interest include block copolymers, "designer"materials that hold considerable promise for nano-engineering. The project also includes educational aims that exposeundergraduates to modeling and computation and train graduatestudents for scientific careers.