Browsing by Subject "Nanostructures"
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Item Equilibrium Maps: Characterizing the complex and stochastic behavior of nanosystems subjected to proportional loading(2016-11) Pattamatta, A. S. L. SubrahmanyamModeling systems subjected to proportional loading, such as a nanotube being pulled, tem- perature programmed desorption of chemical species on a surface etc, is of significant technological importance. A particularly challenging task when dealing with nanoscale systems is that the thermal fluctuations are on par with the applied stimulus owing to the small system size. Such fluctuations in conjunction with the extreme nonconvexity of the underlying potential energy hyper-surface (PES) means that there are mutually compet- ing pathways the system can take and the evolution of the system is stochastic. Often the evolution is affected by the rate at which the system is loaded. In the current work, we develop a novel solution strategy for simulating nanosystems sub- jected to proportional loading using branch following and bifurcation techniques. To this end, the concepts of the PES, the equilibrium points (ex. stable and transition states), and the transition networks connecting the stable states have been extended to the context of driven systems where the PES morphs in response to the external loading. We introduce the concept of the Equilibrium Map (EM), that is a distillation of the equilibrium and kinetic features of the evolving PES. The EM is then used to construct trajectories of the system for representative scenarios that span a spectrum of loading regimes and boundary conditions. We have developed efficient and highly scalable parallel codes to construct and handle the EM data. As a part of modeling the evolution of the system as a state to state dynamics, we have also addressed the issue of superbasins, arising due to clusters of stable states connected by low energy barriers relative to the barriers for transitions of the system to states out of the superbasin, in the context of an evolving PES. The proposed method is able to accelerate the system trapped in these superbasins and simulate the behavior of the system over long time scales. Finally we apply the EM method to a nanoslab under displacement controlled loading and show that the method qualitatively reproduces experimental observations on similar systems.Item QC3D: A Scalable, High Performance Implementation of the Quasicontinuum Method(2023-08) Whalen, StephenMultiscale methods allow for computer simulations of materials at larger scales, finer detail, and higher speed than traditional simulations can offer. The quasicontinuum method (QC) is a multiscale method, combining atomistic and continuum models with a sharp interface between regions. We present QC3D, a complete three-dimentional implementation of QC for multilattice materials. QC3D uses hybrid parallelization to run efficiently on shared-memory and distributed-memory computing systems, scaling to thousands of compute cores. Two example applications demonstrate QC3D’s effectiveness in correctly capturing material responses to deformation, in less compute time than fully atomistic simulators require.