Local volume fraction fluctuations in periodic heterogeneous media
John A Quintanilla, S. Torquato · The Journal of Chemical Physics · 1999
Although the volume fraction is a constant for statistically homogeneous media, on a spatially local level it fluctuates and depends on the observation window size. In this article, we develop exact analytical expressions for the full local-volume fraction distribution function of periodic arrangements of rods, rectangles, and cubes in a matrix. These formulas depend on the inclusion density and window size.