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

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 syst...

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Autores principales: Kondic, L., Kramar, M., Pugnaloni, Luis, Carlevaro, Manuel, Mischaikow, K.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: American Physical Society 2018
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Acceso en línea:http://hdl.handle.net/20.500.12272/2829
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id I68-R174-20.500.12272-2829
record_format dspace
institution Universidad Tecnológica Nacional
institution_str I-68
repository_str R-174
collection RIA - Repositorio Institucional Abierto (UTN)
language Inglés
topic force networks; tapped; particulate systems; disks; pentagons; Persistence analysis
spellingShingle force networks; tapped; particulate systems; disks; pentagons; Persistence analysis
Kondic, L.
Kramar, M.
Pugnaloni, Luis
Carlevaro, Manuel
Mischaikow, K.
Structure of force networks in tapped particulate systems of disks and pentagons II Persistence analysis
topic_facet force networks; tapped; particulate systems; disks; pentagons; Persistence analysis
description 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.
format Artículo
publishedVersion
Artículo
author Kondic, L.
Kramar, M.
Pugnaloni, Luis
Carlevaro, Manuel
Mischaikow, K.
author_facet Kondic, L.
Kramar, M.
Pugnaloni, Luis
Carlevaro, 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
publisher American Physical Society
publishDate 2018
url http://hdl.handle.net/20.500.12272/2829
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