Percolation analysis of force networks in anisotropic granular matter

We study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al (2006 Nature 439 828), we consider a percolation process in which forces smaller than a given threshold f are deleted in the netw...

Descripción completa

Detalles Bibliográficos
Autores: Pastor Satorras, Romualdo|||0000-0002-4051-6007, Miguel Lopez, Maria del Carmen
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/20597
Acceso en línea:https://hdl.handle.net/2117/20597
https://dx.doi.org/10.1088/1742-5468/2012/02/P02008
Access Level:acceso abierto
Palabra clave:Finite size scaling (Statistical physics)
Percolation (Statistical physics)
finite-size scaling
percolation problems (theory)
granular matter
jamming and packing
Percolació (Física estadística)
Àrees temàtiques de la UPC::Física
id ES_ef7f2e4aa693fd59a4ac2e4a199b1d49
oai_identifier_str oai:upcommons.upc.edu:2117/20597
network_acronym_str ES
network_name_str España
repository_id_str
spelling Percolation analysis of force networks in anisotropic granular matterPastor Satorras, Romualdo|||0000-0002-4051-6007Miguel Lopez, Maria del CarmenFinite size scaling (Statistical physics)Percolation (Statistical physics)finite-size scalingpercolation problems (theory)granular matterjamming and packingPercolació (Física estadística)Àrees temàtiques de la UPC::FísicaWe study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al (2006 Nature 439 828), we consider a percolation process in which forces smaller than a given threshold f are deleted in the network. For a critical threshold fc, the system experiences a transition akin to percolation. We determine the point of this transition and its characteristic critical exponents applying a finite-size scaling analysis that takes explicitly into account the directed nature of the q-model. By means of extensive numerical simulations, we show that this percolation transition is strongly affected by the anisotropic nature of the model, yielding characteristic exponents which are neither those found in isotropic granular systems nor those in the directed version of standard percolation. The differences shown by the computed exponents can be related to the presence of strong directed correlations and mass conservation laws in the model under scrutiny.IOP PUBLISHING LTD.20122012-02-0920132013-11-12journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/20597https://dx.doi.org/10.1088/1742-5468/2012/02/P02008reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/205972026-05-27T15:37:01Z
dc.title.none.fl_str_mv Percolation analysis of force networks in anisotropic granular matter
title Percolation analysis of force networks in anisotropic granular matter
spellingShingle Percolation analysis of force networks in anisotropic granular matter
Pastor Satorras, Romualdo|||0000-0002-4051-6007
Finite size scaling (Statistical physics)
Percolation (Statistical physics)
finite-size scaling
percolation problems (theory)
granular matter
jamming and packing
Percolació (Física estadística)
Àrees temàtiques de la UPC::Física
title_short Percolation analysis of force networks in anisotropic granular matter
title_full Percolation analysis of force networks in anisotropic granular matter
title_fullStr Percolation analysis of force networks in anisotropic granular matter
title_full_unstemmed Percolation analysis of force networks in anisotropic granular matter
title_sort Percolation analysis of force networks in anisotropic granular matter
dc.creator.none.fl_str_mv Pastor Satorras, Romualdo|||0000-0002-4051-6007
Miguel Lopez, Maria del Carmen
author Pastor Satorras, Romualdo|||0000-0002-4051-6007
author_facet Pastor Satorras, Romualdo|||0000-0002-4051-6007
Miguel Lopez, Maria del Carmen
author_role author
author2 Miguel Lopez, Maria del Carmen
author2_role author
dc.subject.none.fl_str_mv Finite size scaling (Statistical physics)
Percolation (Statistical physics)
finite-size scaling
percolation problems (theory)
granular matter
jamming and packing
Percolació (Física estadística)
Àrees temàtiques de la UPC::Física
topic Finite size scaling (Statistical physics)
Percolation (Statistical physics)
finite-size scaling
percolation problems (theory)
granular matter
jamming and packing
Percolació (Física estadística)
Àrees temàtiques de la UPC::Física
description We study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al (2006 Nature 439 828), we consider a percolation process in which forces smaller than a given threshold f are deleted in the network. For a critical threshold fc, the system experiences a transition akin to percolation. We determine the point of this transition and its characteristic critical exponents applying a finite-size scaling analysis that takes explicitly into account the directed nature of the q-model. By means of extensive numerical simulations, we show that this percolation transition is strongly affected by the anisotropic nature of the model, yielding characteristic exponents which are neither those found in isotropic granular systems nor those in the directed version of standard percolation. The differences shown by the computed exponents can be related to the presence of strong directed correlations and mass conservation laws in the model under scrutiny.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-02-09
2013
2013-11-12
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/20597
https://dx.doi.org/10.1088/1742-5468/2012/02/P02008
url https://hdl.handle.net/2117/20597
https://dx.doi.org/10.1088/1742-5468/2012/02/P02008
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP PUBLISHING LTD.
publisher.none.fl_str_mv IOP PUBLISHING LTD.
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869423869137256448
score 15.301629

Similares en LA Referencia