Local order metrics for two-phase media across length scales*
نویسندگان
چکیده
Abstract The capacity to devise order metrics characterize and classify microstructures of multiphase heterogeneous media across length scales is an outstanding but highly challenging task, given the richness possible geometries topologies phases that can arise. This investigation initiates a program formulate degree order/disorder two-phase in d -dimensional Euclidean space ${\mathbb{R}}^{d}$?> R scales. In particular, we propose use local volume-fraction variance ${\sigma }_{\mathit{V}}^{2}(R)$?> σ mathvariant="italic">V 2 ( R stretchy="false">) associated with spherical window radius R as metric. We determine function $R$?> for 22 different models first three dimensions, including both hyperuniform nonhyperuniform systems varying degrees short- long-range order. find well asymptotic coefficients integral measures derived from it provide reasonably robust sensitive categorize disordered ordered all Such could be employed accelerate discovery novel materials by tailoring their order/disorder.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2022
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/ac72d7