Author: Julia Kazmierczak

Read the full paper: here Link to the journal: here Hyperuniform particle arrangements are characterized by a local number variance within a spherical window of radius \(R\) that grows more slowly than the volume of the window, i.e., \(R^d\), in \(d\)-dimensional Euclidean space. We generalize this concept to describe the large-scale behavior of particle systems … Continue Reading “Hyperuniformity of Weighted Particle Systems” Published in Physical Review X

Read the full paper: here Link to the journal: here Layered “mosaic” metal-halide perovskite materials display a wide-variety of microstructures that span the order-disorder spectrum and can be tuned via the composition of their constituent B-site octahedral species. Such materials are typically modeled using computationally expensive ab initio methods, but these approaches are greatly limited … Continue Reading “Communication: Modeling layered mosaic perovskite alloy microstructures across length scales via a packing algorithm” Published in The Journal of Chemical Physics

Read the full paper: here Link to the journal: here To be used as an analysis tool, it is important that a spatial network’s construction algorithm reproduces the structural properties of the original physical embedding. One popular method for converting a two-dimensional (2D) point pattern into a spatial network is the Delaunay triangulation. Here, we … Continue Reading “From point patterns to networks: to what extent does the Delaunay triangulation reproduce key spatial and density information?” Published in Journal of Complex Networks