title: Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis.
abstract: In the companion paper [Pugnaloni et al., 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.
authors.affiliation: Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA.
authors.forename: L
authors.initials: L
authors.lastname: Kondic
authors.affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854-8019, USA.
authors.forename: M
authors.initials: M
authors.lastname: Kramár
authors.affiliation: Dpto. de Ingeniería Mecánica, Facultad Regional La Plata, Universidad Tecnológica Nacional, Av. 60 Esq. 124, 1900 La Plata, Argentina.|Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.
authors.forename: Luis A
authors.initials: LA
authors.lastname: Pugnaloni
authors.affiliation: Instituto de Física de Líquidos y Sistemas Biológicos (CONICET La Plata, UNLP), Calle 59 Nro 789, 1900 La Plata, Argentina.|Universidad Tecnológica Nacional-FRBA, UDB Física, Mozart 2300, C1407IVT Buenos Aires, Argentina.
authors.forename: C Manuel
authors.initials: CM
authors.lastname: Carlevaro
authors.affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854-8019, USA.
authors.forename: K
authors.initials: K
authors.lastname: Mischaikow