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DY: Fachverband Dynamik und Statistische Physik
DY 56: Poster: Glasses; Granular Matter; Brownian Motion and Anomalous Diffusion
DY 56.9: Poster
Donnerstag, 19. März 2020, 15:00–18:00, P1A
Accurate determination of local properties in 2D particulate systems using Set Voronoi tessellation — •Simeon Völkel1 and Kai Huang1,2 — 1Universität Bayreuth, Experimentalphysik V, Universitätsstraße 30, 95447 Bayreuth, Germany — 2Duke Kunshan University, Division of Natural and Applied Sciences, No. 8 Duke Avenue, Kunshan, Jiangsu, China 215316
Using the collective behavior of a granular rod monolayer under vertical vibrations, we demonstrate the advantages of the Set Voronoi tessellation in two dimensions (2D).
The behavior of particulate systems typically depends critically on the local configuration of its constituents, requiring accurate measurements of properties such as bond orientational order parameters or the local volume fraction. In this regard, Voronoi tessellation is a common tool for tiling space, but is only appropriate for mono-disperse spheres. This severely limits its applicability, especially in dense systems of poly-disperse and non-spherical particles, which are commonly found in practice. To overcome this limitation, Set Voronoi was proposed which assigns points in space according to the closest particle surface (contour for the 2D case) instead of closest particle center.
We show that Set Voronoi delivers consistent results even for extreme cases, where the error in the local volume fraction obtained using classical Voronoi goes up to 100 %. Our 2D implementation can be applied directly to a variety of (quasi-)2D particulate systems of practical interest ranging from granulates to pedestrian and traffic flow systems.