This chapter introduces domain-informed modeling of nanowire (NW) growth process at multiple scales of interest for prediction. The main idea is to integrate available data and physical knowledge through a Bayesian hierarchical framework with consideration of scale effects. At each scale, the NW growth model describes the time-space evolution of NWs across different sites on a substrate. The model consists of two major components: NW morphology and local variability. The morphology component represents the overall trend characterized by growth kinetics. The area-specific variability is less understood in nanophysics due to complex interactions among neighboring NWs. The local variability is therefore modeled by an intrinsic Gaussian Markov random field (IGMRF) so as to separate itself from the growth kinetics in the morphology component. Case studies are provided to illustrate the NW growth process model at the coarse and fine scales, respectively.

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Domain-Informed Bayesian Hierarchical Modeling of Nanowire Growth at Multiple Scales

  • Qiang Huang

摘要

This chapter introduces domain-informed modeling of nanowire (NW) growth process at multiple scales of interest for prediction. The main idea is to integrate available data and physical knowledge through a Bayesian hierarchical framework with consideration of scale effects. At each scale, the NW growth model describes the time-space evolution of NWs across different sites on a substrate. The model consists of two major components: NW morphology and local variability. The morphology component represents the overall trend characterized by growth kinetics. The area-specific variability is less understood in nanophysics due to complex interactions among neighboring NWs. The local variability is therefore modeled by an intrinsic Gaussian Markov random field (IGMRF) so as to separate itself from the growth kinetics in the morphology component. Case studies are provided to illustrate the NW growth process model at the coarse and fine scales, respectively.