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, and K. Mischaikow
Phys. Rev. E 93, 062903 – Published 14 June 2016

Abstract

In the companion paper [Pugnaloni et al., Phys. Rev. E 93, 062902 (2016)], 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.

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  • Received 4 October 2015

DOI:https://doi.org/10.1103/PhysRevE.93.062903

©2016 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterNetworks

Authors & Affiliations

L. Kondic1, M. Kramár2, Luis A. Pugnaloni3,4, C. Manuel Carlevaro5,6, and K. Mischaikow2

  • 1Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA
  • 2Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854-8019, USA
  • 3Dpto. de Ingeniería Mecánica, Facultad Regional La Plata, Universidad Tecnológica Nacional, Av. 60 Esq. 124, 1900 La Plata, Argentina
  • 4Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
  • 5Instituto de Física de Líquidos y Sistemas Biológicos (CONICET La Plata, UNLP), Calle 59 Nro 789, 1900 La Plata, Argentina
  • 6Universidad Tecnológica Nacional-FRBA, UDB Física, Mozart 2300, C1407IVT Buenos Aires, Argentina

See Also

Structure of force networks in tapped particulate systems of disks and pentagons. I. Clusters and loops

Luis A. Pugnaloni, C. Manuel Carlevaro, M. Kramár, K. Mischaikow, and L. Kondic
Phys. Rev. E 93, 062902 (2016)

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Vol. 93, Iss. 6 — June 2016

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