Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis

L. Kondic, M. Kramár, Luis A. Pugnaloni, C. Manuel Carlevaro, K. Mischaikow

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)

    Abstract

    In the companion paper [Pugnaloni, Phys. Rev. E 93, 062902 (2016)10.1103/PhysRevE.93.062902], 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, which allows us to describe these networks in much more detail. This approach allows us 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, force PDFs, or the stress tensor) do not distinguish clearly or at all the investigated systems.

    Original languageEnglish
    Article number062903
    JournalPhysical Review E
    Volume93
    Issue number6
    DOIs
    Publication statusPublished - 2016 Jun 14

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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