Triple point in correlated interdependent networks

Autores
Valdez, Lucas Daniel; Macri, Pablo Alejandro; Stanley, Harry Eugene; Braunstein, Lidia Adriana
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Many real-world networks depend on other networks, often in nontrivial ways, to maintain their functionality. These interdependent “networks of networks” are often extremely fragile. When a fraction 1 − p of nodes in one network randomly fails, the damage propagates to nodes in networks that are interdependent and a dynamic failure cascade occurs that affects the entire system. We present dynamic equations for two interdependent networks that allow us to reproduce the failure cascade for an arbitrary pattern of interdependency. We study the “rich club” effect found in many real interdependent network systems in which the high-degree nodes are extremely interdependent, correlating a fraction α of the higher-degree nodes on each network. We find a rich phase diagram in the plane p-α, with a triple point reminiscent of the triple point of liquids that separates a nonfunctional phase from two functional phases.
Fil: Valdez, Lucas Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Boston University; Estados Unidos
Fil: Stanley, Harry Eugene. Boston University; Estados Unidos
Fil: Braunstein, Lidia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Materia
Networks in Phase Transitions
Percolation in Phase Transitions
Genealogical Trees (Complex Systems)
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/3340
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Triple point in correlated interdependent networksValdez, Lucas DanielMacri, Pablo AlejandroStanley, Harry EugeneBraunstein, Lidia AdrianaNetworks in Phase TransitionsPercolation in Phase TransitionsGenealogical Trees (Complex Systems)https://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2Many real-world networks depend on other networks, often in nontrivial ways, to maintain their functionality. These interdependent “networks of networks” are often extremely fragile. When a fraction 1 − p of nodes in one network randomly fails, the damage propagates to nodes in networks that are interdependent and a dynamic failure cascade occurs that affects the entire system. We present dynamic equations for two interdependent networks that allow us to reproduce the failure cascade for an arbitrary pattern of interdependency. We study the “rich club” effect found in many real interdependent network systems in which the high-degree nodes are extremely interdependent, correlating a fraction α of the higher-degree nodes on each network. We find a rich phase diagram in the plane p-α, with a triple point reminiscent of the triple point of liquids that separates a nonfunctional phase from two functional phases.Fil: Valdez, Lucas Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Boston University; Estados UnidosFil: Stanley, Harry Eugene. Boston University; Estados UnidosFil: Braunstein, Lidia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaAmerican Physical Society2013-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3340Valdez, Lucas Daniel; Macri, Pablo Alejandro; Stanley, Harry Eugene; Braunstein, Lidia Adriana; Triple point in correlated interdependent networks; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 88; 50803; 11-2013; 1-51539-3755enginfo:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.050803info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.88.050803info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1308.4216info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:29:48Zoai:ri.conicet.gov.ar:11336/3340instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:29:48.898CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Triple point in correlated interdependent networks
title Triple point in correlated interdependent networks
spellingShingle Triple point in correlated interdependent networks
Valdez, Lucas Daniel
Networks in Phase Transitions
Percolation in Phase Transitions
Genealogical Trees (Complex Systems)
title_short Triple point in correlated interdependent networks
title_full Triple point in correlated interdependent networks
title_fullStr Triple point in correlated interdependent networks
title_full_unstemmed Triple point in correlated interdependent networks
title_sort Triple point in correlated interdependent networks
dc.creator.none.fl_str_mv Valdez, Lucas Daniel
Macri, Pablo Alejandro
Stanley, Harry Eugene
Braunstein, Lidia Adriana
author Valdez, Lucas Daniel
author_facet Valdez, Lucas Daniel
Macri, Pablo Alejandro
Stanley, Harry Eugene
Braunstein, Lidia Adriana
author_role author
author2 Macri, Pablo Alejandro
Stanley, Harry Eugene
Braunstein, Lidia Adriana
author2_role author
author
author
dc.subject.none.fl_str_mv Networks in Phase Transitions
Percolation in Phase Transitions
Genealogical Trees (Complex Systems)
topic Networks in Phase Transitions
Percolation in Phase Transitions
Genealogical Trees (Complex Systems)
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Many real-world networks depend on other networks, often in nontrivial ways, to maintain their functionality. These interdependent “networks of networks” are often extremely fragile. When a fraction 1 − p of nodes in one network randomly fails, the damage propagates to nodes in networks that are interdependent and a dynamic failure cascade occurs that affects the entire system. We present dynamic equations for two interdependent networks that allow us to reproduce the failure cascade for an arbitrary pattern of interdependency. We study the “rich club” effect found in many real interdependent network systems in which the high-degree nodes are extremely interdependent, correlating a fraction α of the higher-degree nodes on each network. We find a rich phase diagram in the plane p-α, with a triple point reminiscent of the triple point of liquids that separates a nonfunctional phase from two functional phases.
Fil: Valdez, Lucas Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Boston University; Estados Unidos
Fil: Stanley, Harry Eugene. Boston University; Estados Unidos
Fil: Braunstein, Lidia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
description Many real-world networks depend on other networks, often in nontrivial ways, to maintain their functionality. These interdependent “networks of networks” are often extremely fragile. When a fraction 1 − p of nodes in one network randomly fails, the damage propagates to nodes in networks that are interdependent and a dynamic failure cascade occurs that affects the entire system. We present dynamic equations for two interdependent networks that allow us to reproduce the failure cascade for an arbitrary pattern of interdependency. We study the “rich club” effect found in many real interdependent network systems in which the high-degree nodes are extremely interdependent, correlating a fraction α of the higher-degree nodes on each network. We find a rich phase diagram in the plane p-α, with a triple point reminiscent of the triple point of liquids that separates a nonfunctional phase from two functional phases.
publishDate 2013
dc.date.none.fl_str_mv 2013-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/3340
Valdez, Lucas Daniel; Macri, Pablo Alejandro; Stanley, Harry Eugene; Braunstein, Lidia Adriana; Triple point in correlated interdependent networks; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 88; 50803; 11-2013; 1-5
1539-3755
url http://hdl.handle.net/11336/3340
identifier_str_mv Valdez, Lucas Daniel; Macri, Pablo Alejandro; Stanley, Harry Eugene; Braunstein, Lidia Adriana; Triple point in correlated interdependent networks; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 88; 50803; 11-2013; 1-5
1539-3755
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.050803
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.88.050803
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1308.4216
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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