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DY: Fachverband Dynamik und Statistische Physik

DY 21: Granular Matter

DY 21.4: Vortrag

Mittwoch, 19. März 2025, 10:15–10:30, H43

Force networks in granular experiments: From topology to dynamics — •Lou Kondic — Department of Mathematical Sciences, NJIT, Newark, NJ, USA

We will discuss force networks that spontaneously form in particulate-based systems. These networks, most commonly known as `force chains' in granular systems, are dynamic structures of fundamental importance for revealing the underlying causes of many physical phenomena involved in the statics and dynamics of particulate-based systems. While these networks emerging from discrete element simulations have been analyzed extensively, the analysis of networks found in physical experiments is far less developed. The presentation will focus on applications of algebraic topology, particularly persistent homology (PH) to analysis of such networks. PH allows for a simplified representation of complex interaction fields in both two and three spatial dimensions in terms of persistent diagrams (PDs) that are essentially point clouds. These point clouds could be compared meaningfully, allowing for the analysis of the underlying systems' static and dynamic properties. The presentation will focus on applications of topological data analysis of such networks found in photoelastic experiments involving an intruder moving in a stick-slip fashion through a 2D granular domain. We will particularly focus on exploring the predictability potential of the considered topological measures.

Keywords: stick-slip; photo elasticity; topologic; force chains; dense granular matter