Quantifying microstructural evolution via time-dependent reduced-dimension metrics based on hierarchical n-point polytope functions.

@article{Chen2021QuantifyingME,
  title={Quantifying microstructural evolution via time-dependent reduced-dimension metrics based on hierarchical n-point polytope functions.},
  author={Pei-En Chen and Rahul Raghavan and Yu Zheng and Hechao Li and Kumar Ankit and Yang Jiao},
  journal={Physical review. E},
  year={2021},
  volume={105 2-2},
  pages={
          025306
        }
}
We devise reduced-dimension metrics for effectively measuring the distance between two points (i.e., microstructures) in the microstructure space and quantifying the pathway associated with microstructural evolution, based on a recently introduced set of hierarchical n-point polytope functions P_{n}. The P_{n} functions provide the probability of finding particular n-point configurations associated with regular n polytopes in the material system, and are a special subset of the standard n-point… 
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