Structure of force networks in tapped particulate systems of disks and pentagons (Part 2): Persistence analysis

Abstract

In the companion paper~\cite{paper1}, we use classical measures based on force probability density functions (PDFs), as well as Betti numbers (quantifying the number of components, related to force chains, and loops), to describe the force networks in tapped systems of disks and pentagons. In the present work, we focus on the use of persistence analysis, that allows to describe these networks in much more detail. This approach allows not only to describe, but also to quantify the differences between the force networks in different realizations of a system, in different parts of the considered domain, or in different systems. We show that persistence analysis clearly distinguishes the systems that are very difficult or impossible to differentiate using other means. One important finding is that the differences in force networks between disks and pentagons are most apparent when loops are considered: the quantities describing properties of the loops may differ significantly even if other measures (properties of components, Betti numbers, or force PDFs) do not distinguish clearly the investigated systems.

References in corpus (5)

• Extraction of Force-Chain Network Architecture in Granular Materials Using Community Detection
• Quantifying force networks in particulate systems
• Probabilistic Fréchet Means for Time Varying Persistence Diagrams
• Evolution of Force Networks in Dense Particulate Media
• Structure of force networks in tapped particulate systems of disks and pentagons (Part 1): Clusters and Loops

Cited by in corpus (14)

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• Granular Response to Impact: Topology of the Force Networks
• Structure of force networks in tapped particulate systems of disks and pentagons (Part 1): Clusters and Loops
• Characterizing Granular Networks Using Topological Metrics
• Failure of confined granular media due to pullout of an intruder: From force networks to a system wide response
• Two approaches to quantification of force networks in particulate systems
• Correlating the force network evolution and dynamics in slider experiments
• Betweenness centrality illuminates intermittent frictional dynamics
• An experimental investigation of the force network ensemble