Lifespan method as a tool to study criticality in absorbing-state phase transitions
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFLA |
Texto Completo: | http://repositorio.ufla.br/jspui/handle/1/12315 |
Resumo: | In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Boguñá, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. Our observations confirm that the lifespan method is a fully legitimate tool for the study of the critical properties of absorbing phase transitions in regular lattices. |
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Lifespan method as a tool to study criticality in absorbing-state phase transitionsLifespan methodAbsorbing-state phase transitionsIn a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Boguñá, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. Our observations confirm that the lifespan method is a fully legitimate tool for the study of the critical properties of absorbing phase transitions in regular lattices.American Physical Society2017-02-17T16:22:47Z2017-02-17T16:22:47Z2015-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfMATA, A. S.et al. Lifespan method as a tool to study criticality in absorbing-state phase transitions. Physical Review E, New York, v. 91, n. 5, p. 1-8, May 2015.http://repositorio.ufla.br/jspui/handle/1/12315Physical Review Ereponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAMata, Angélica S.Boguñá, MarianCastellano, ClaudioPastor-Satorras, Romualdoinfo:eu-repo/semantics/openAccesseng2023-05-09T17:33:56Zoai:localhost:1/12315Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2023-05-09T17:33:56Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false |
dc.title.none.fl_str_mv |
Lifespan method as a tool to study criticality in absorbing-state phase transitions |
title |
Lifespan method as a tool to study criticality in absorbing-state phase transitions |
spellingShingle |
Lifespan method as a tool to study criticality in absorbing-state phase transitions Mata, Angélica S. Lifespan method Absorbing-state phase transitions |
title_short |
Lifespan method as a tool to study criticality in absorbing-state phase transitions |
title_full |
Lifespan method as a tool to study criticality in absorbing-state phase transitions |
title_fullStr |
Lifespan method as a tool to study criticality in absorbing-state phase transitions |
title_full_unstemmed |
Lifespan method as a tool to study criticality in absorbing-state phase transitions |
title_sort |
Lifespan method as a tool to study criticality in absorbing-state phase transitions |
author |
Mata, Angélica S. |
author_facet |
Mata, Angélica S. Boguñá, Marian Castellano, Claudio Pastor-Satorras, Romualdo |
author_role |
author |
author2 |
Boguñá, Marian Castellano, Claudio Pastor-Satorras, Romualdo |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Mata, Angélica S. Boguñá, Marian Castellano, Claudio Pastor-Satorras, Romualdo |
dc.subject.por.fl_str_mv |
Lifespan method Absorbing-state phase transitions |
topic |
Lifespan method Absorbing-state phase transitions |
description |
In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Boguñá, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. Our observations confirm that the lifespan method is a fully legitimate tool for the study of the critical properties of absorbing phase transitions in regular lattices. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-05 2017-02-17T16:22:47Z 2017-02-17T16:22:47Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
MATA, A. S.et al. Lifespan method as a tool to study criticality in absorbing-state phase transitions. Physical Review E, New York, v. 91, n. 5, p. 1-8, May 2015. http://repositorio.ufla.br/jspui/handle/1/12315 |
identifier_str_mv |
MATA, A. S.et al. Lifespan method as a tool to study criticality in absorbing-state phase transitions. Physical Review E, New York, v. 91, n. 5, p. 1-8, May 2015. |
url |
http://repositorio.ufla.br/jspui/handle/1/12315 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
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 |
Physical Review E reponame:Repositório Institucional da UFLA instname:Universidade Federal de Lavras (UFLA) instacron:UFLA |
instname_str |
Universidade Federal de Lavras (UFLA) |
instacron_str |
UFLA |
institution |
UFLA |
reponame_str |
Repositório Institucional da UFLA |
collection |
Repositório Institucional da UFLA |
repository.name.fl_str_mv |
Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA) |
repository.mail.fl_str_mv |
nivaldo@ufla.br || repositorio.biblioteca@ufla.br |
_version_ |
1784550210567929856 |