A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/27254 https://doi.org/10.1016/j.physa.2013.08.033 |
Resumo: | We propose a thermodynamic version of the Axelrod model of social influence. In one-dimensional (1D) lattices, the thermodynamic model becomes a coupled Potts model with a bonding interaction that increases with the site matching traits. We analytically calculate thermodynamic and critical properties for a 1D system and show that an order–disorder phase transition only occurs at T=0 independent of the number of cultural traits q and features F. The 1D thermodynamic Axelrod model belongs to the same universality class of the Ising and Potts models, notwithstanding the increase of the internal dimension of the local degree of freedom and the state-dependent bonding interaction. We suggest a unifying proposal to compare exponents across different discrete 1D models. The comparison with our Hamiltonian description reveals that in the thermodynamic limit the original out-of-equilibrium 1D Axelrod model with noise behaves like an ordinary thermodynamic 1D interacting particle system. |
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A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional caseSociophysicsAxelrod modelThermodynamic modelsPhase transitionsWe propose a thermodynamic version of the Axelrod model of social influence. In one-dimensional (1D) lattices, the thermodynamic model becomes a coupled Potts model with a bonding interaction that increases with the site matching traits. We analytically calculate thermodynamic and critical properties for a 1D system and show that an order–disorder phase transition only occurs at T=0 independent of the number of cultural traits q and features F. The 1D thermodynamic Axelrod model belongs to the same universality class of the Ising and Potts models, notwithstanding the increase of the internal dimension of the local degree of freedom and the state-dependent bonding interaction. We suggest a unifying proposal to compare exponents across different discrete 1D models. The comparison with our Hamiltonian description reveals that in the thermodynamic limit the original out-of-equilibrium 1D Axelrod model with noise behaves like an ordinary thermodynamic 1D interacting particle system.Elsevier2013-12-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/27254http://hdl.handle.net/10316/27254https://doi.org/10.1016/j.physa.2013.08.033engGANDICA, Y.; MEDINA, E.; BONALDE, I. - A thermodynamic counterpart of the Axelrod model of social influence: the one-dimensional case. "Physica A: Statistical Mechanics and its Applications". ISSN 0378-4371. Vol. 392 Nº. 24 (2013) p. 6561-65700378-4371http://www.sciencedirect.com/science/article/pii/S0378437113007620Gandica, Y.Medina, E.Bonalde, I.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-05-25T12:50:28Zoai:estudogeral.uc.pt:10316/27254Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:56.056105Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
title |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
spellingShingle |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case Gandica, Y. Sociophysics Axelrod model Thermodynamic models Phase transitions |
title_short |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
title_full |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
title_fullStr |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
title_full_unstemmed |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
title_sort |
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
author |
Gandica, Y. |
author_facet |
Gandica, Y. Medina, E. Bonalde, I. |
author_role |
author |
author2 |
Medina, E. Bonalde, I. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Gandica, Y. Medina, E. Bonalde, I. |
dc.subject.por.fl_str_mv |
Sociophysics Axelrod model Thermodynamic models Phase transitions |
topic |
Sociophysics Axelrod model Thermodynamic models Phase transitions |
description |
We propose a thermodynamic version of the Axelrod model of social influence. In one-dimensional (1D) lattices, the thermodynamic model becomes a coupled Potts model with a bonding interaction that increases with the site matching traits. We analytically calculate thermodynamic and critical properties for a 1D system and show that an order–disorder phase transition only occurs at T=0 independent of the number of cultural traits q and features F. The 1D thermodynamic Axelrod model belongs to the same universality class of the Ising and Potts models, notwithstanding the increase of the internal dimension of the local degree of freedom and the state-dependent bonding interaction. We suggest a unifying proposal to compare exponents across different discrete 1D models. The comparison with our Hamiltonian description reveals that in the thermodynamic limit the original out-of-equilibrium 1D Axelrod model with noise behaves like an ordinary thermodynamic 1D interacting particle system. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-12-15 |
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 |
http://hdl.handle.net/10316/27254 http://hdl.handle.net/10316/27254 https://doi.org/10.1016/j.physa.2013.08.033 |
url |
http://hdl.handle.net/10316/27254 https://doi.org/10.1016/j.physa.2013.08.033 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
GANDICA, Y.; MEDINA, E.; BONALDE, I. - A thermodynamic counterpart of the Axelrod model of social influence: the one-dimensional case. "Physica A: Statistical Mechanics and its Applications". ISSN 0378-4371. Vol. 392 Nº. 24 (2013) p. 6561-6570 0378-4371 http://www.sciencedirect.com/science/article/pii/S0378437113007620 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133889498710016 |