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

14 Scopus citations

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 (US)
Article number062903
JournalPhysical Review E
Volume93
Issue number6
DOIs
StatePublished - Jun 14 2016

All Science Journal Classification (ASJC) codes

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

Fingerprint

Dive into the research topics of 'Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis'. Together they form a unique fingerprint.

Cite this