Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities

Autores
Landes, François; Rosso, Alberto; Jagla, Eduardo Alberto
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the directed percolation process as a prototype of systems displaying a nonequilibrium phase transition into an absorbing state. The model is in a critical state when the activation probability is adjusted at some precise value p c. Criticality is lost as soon as the probability to activate sites at the first attempt, p 1, is changed. We show here that criticality can be restored by "compensating" the change in p 1 by an appropriate change of the second time activation probability p 2 in the opposite direction. At compensation, we observe that the bulk exponents of the process coincide with those of the normal directed percolation process. However, the spreading exponents are changed and take values that depend continuously on the pair (p 1,p 2). We interpret this situation by acknowledging that the model with modified initial probabilities has an infinite number of absorbing states.
Fil: Landes, François. Centre National de la Recherche Scientifique; Francia
Fil: Rosso, Alberto. Centre National de la Recherche Scientifique; Francia
Fil: Jagla, Eduardo Alberto. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Materia
percolation
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:11336/190091
Acceder
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spelling Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilitiesLandes, FrançoisRosso, AlbertoJagla, Eduardo Albertopercolationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider the directed percolation process as a prototype of systems displaying a nonequilibrium phase transition into an absorbing state. The model is in a critical state when the activation probability is adjusted at some precise value p c. Criticality is lost as soon as the probability to activate sites at the first attempt, p 1, is changed. We show here that criticality can be restored by "compensating" the change in p 1 by an appropriate change of the second time activation probability p 2 in the opposite direction. At compensation, we observe that the bulk exponents of the process coincide with those of the normal directed percolation process. However, the spreading exponents are changed and take values that depend continuously on the pair (p 1,p 2). We interpret this situation by acknowledging that the model with modified initial probabilities has an infinite number of absorbing states.Fil: Landes, François. Centre National de la Recherche Scientifique; FranciaFil: Rosso, Alberto. Centre National de la Recherche Scientifique; FranciaFil: Jagla, Eduardo Alberto. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaAmerican Physical Society2012-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/190091Landes, François; Rosso, Alberto; Jagla, Eduardo Alberto; Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 4; 10-2012; 1-81539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.86.041150info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:17Zoai:ri.conicet.gov.ar:11336/190091instacron: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 09:33:17.886CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
title Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
spellingShingle Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
Landes, François
percolation
title_short Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
title_full Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
title_fullStr Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
title_full_unstemmed Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
title_sort Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
dc.creator.none.fl_str_mv Landes, François
Rosso, Alberto
Jagla, Eduardo Alberto
author Landes, François
author_facet Landes, François
Rosso, Alberto
Jagla, Eduardo Alberto
author_role author
author2 Rosso, Alberto
Jagla, Eduardo Alberto
author2_role author
author
dc.subject.none.fl_str_mv percolation
topic percolation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider the directed percolation process as a prototype of systems displaying a nonequilibrium phase transition into an absorbing state. The model is in a critical state when the activation probability is adjusted at some precise value p c. Criticality is lost as soon as the probability to activate sites at the first attempt, p 1, is changed. We show here that criticality can be restored by "compensating" the change in p 1 by an appropriate change of the second time activation probability p 2 in the opposite direction. At compensation, we observe that the bulk exponents of the process coincide with those of the normal directed percolation process. However, the spreading exponents are changed and take values that depend continuously on the pair (p 1,p 2). We interpret this situation by acknowledging that the model with modified initial probabilities has an infinite number of absorbing states.
Fil: Landes, François. Centre National de la Recherche Scientifique; Francia
Fil: Rosso, Alberto. Centre National de la Recherche Scientifique; Francia
Fil: Jagla, Eduardo Alberto. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
description We consider the directed percolation process as a prototype of systems displaying a nonequilibrium phase transition into an absorbing state. The model is in a critical state when the activation probability is adjusted at some precise value p c. Criticality is lost as soon as the probability to activate sites at the first attempt, p 1, is changed. We show here that criticality can be restored by "compensating" the change in p 1 by an appropriate change of the second time activation probability p 2 in the opposite direction. At compensation, we observe that the bulk exponents of the process coincide with those of the normal directed percolation process. However, the spreading exponents are changed and take values that depend continuously on the pair (p 1,p 2). We interpret this situation by acknowledging that the model with modified initial probabilities has an infinite number of absorbing states.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
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/11336/190091
Landes, François; Rosso, Alberto; Jagla, Eduardo Alberto; Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 4; 10-2012; 1-8
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/190091
identifier_str_mv Landes, François; Rosso, Alberto; Jagla, Eduardo Alberto; Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 4; 10-2012; 1-8
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.86.041150
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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