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

Document Type

Article

Publication Date

6-14-2016

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.

Identifier

84975489271 (Scopus)

Publication Title

Physical Review E

External Full Text Location

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

e-ISSN

24700053

ISSN

24700045

Issue

6

Volume

93

Grant

DMS-0835611

Fund Ref

Air Force Office of Scientific Research

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