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

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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 netw...

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Autores principales: Kondic, L., Kramár, M., Pugnaloni, Luis Ariel, Carlevaro, Carlos Manuel, Mischaikow, K.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Física
Betti numbers
Force chains
Force networks
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86772
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-86772
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Betti numbers
Force chains
Force networks
spellingShingle Física
Betti numbers
Force chains
Force networks
Kondic, L.
Kramár, M.
Pugnaloni, Luis Ariel
Carlevaro, Carlos Manuel
Mischaikow, K.
Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis
topic_facet Física
Betti numbers
Force chains
Force networks
description 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.
format Articulo
Articulo
author Kondic, L.
Kramár, M.
Pugnaloni, Luis Ariel
Carlevaro, Carlos Manuel
Mischaikow, K.
author_facet Kondic, L.
Kramár, M.
Pugnaloni, Luis Ariel
Carlevaro, Carlos Manuel
Mischaikow, K.
author_sort Kondic, L.
title Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis
title_short Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis
title_full Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis
title_fullStr Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis
title_full_unstemmed Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis
title_sort structure of force networks in tapped particulate systems of disks and pentagons. ii. persistence analysis
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/86772
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