Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions
Autor(a) principal: | |
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Data de Publicação: | 2003 |
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/1822/3362 |
Resumo: | We performed extensive Monte Carlo simulations of the ballistic deposition model in (1 + 1)-dimensions for several system sizes up to 1280 lattice constants, on the square lattice. Though the ballistic deposition model is generally accepted to belong to the Kardar Parisi-Zhang (KPZ) universality class, strong corrections to scaling prevent numerical estimates of the exponents close to the asymptotic values. We obtained a ³ 0.40, b ³ 0.30, and z ³ 1.16, which are consistent with the expected KPZ values of a = 1/2, b = 1/3, and z = 3/2. We found a slow, and even non monotonic, convergence of the exponents towards the asymptotic values, which corroborates previous claims in the literature of strong corrections to scaling. |
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Finite-size scaling study of the ballistic deposition model in (1+1)-dimensionsScience & TechnologyWe performed extensive Monte Carlo simulations of the ballistic deposition model in (1 + 1)-dimensions for several system sizes up to 1280 lattice constants, on the square lattice. Though the ballistic deposition model is generally accepted to belong to the Kardar Parisi-Zhang (KPZ) universality class, strong corrections to scaling prevent numerical estimates of the exponents close to the asymptotic values. We obtained a ³ 0.40, b ³ 0.30, and z ³ 1.16, which are consistent with the expected KPZ values of a = 1/2, b = 1/3, and z = 3/2. We found a slow, and even non monotonic, convergence of the exponents towards the asymptotic values, which corroborates previous claims in the literature of strong corrections to scaling.ElsevierUniversidade do MinhoMiranda, R. P.Ramos, Marta M. D.Cadilhe, A. M.2003-032003-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/3362eng"Computational Materials Science". ISSN 0927-0256. 27 (2003) 224-229.0927-025610.1016/S0927-0256(02)00449-4www.elsevier.comhttp://www.elsevier.com/wps/find/journaldescription.cws_home/523412/description#descriptioninfo: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:RCAAP2023-07-21T12:04:50Zoai:repositorium.sdum.uminho.pt:1822/3362Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:55:09.313141Repositório 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 |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions |
title |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions |
spellingShingle |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions Miranda, R. P. Science & Technology |
title_short |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions |
title_full |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions |
title_fullStr |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions |
title_full_unstemmed |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions |
title_sort |
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions |
author |
Miranda, R. P. |
author_facet |
Miranda, R. P. Ramos, Marta M. D. Cadilhe, A. M. |
author_role |
author |
author2 |
Ramos, Marta M. D. Cadilhe, A. M. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Miranda, R. P. Ramos, Marta M. D. Cadilhe, A. M. |
dc.subject.por.fl_str_mv |
Science & Technology |
topic |
Science & Technology |
description |
We performed extensive Monte Carlo simulations of the ballistic deposition model in (1 + 1)-dimensions for several system sizes up to 1280 lattice constants, on the square lattice. Though the ballistic deposition model is generally accepted to belong to the Kardar Parisi-Zhang (KPZ) universality class, strong corrections to scaling prevent numerical estimates of the exponents close to the asymptotic values. We obtained a ³ 0.40, b ³ 0.30, and z ³ 1.16, which are consistent with the expected KPZ values of a = 1/2, b = 1/3, and z = 3/2. We found a slow, and even non monotonic, convergence of the exponents towards the asymptotic values, which corroborates previous claims in the literature of strong corrections to scaling. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-03 2003-03-01T00:00:00Z |
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/1822/3362 |
url |
http://hdl.handle.net/1822/3362 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
"Computational Materials Science". ISSN 0927-0256. 27 (2003) 224-229. 0927-0256 10.1016/S0927-0256(02)00449-4 www.elsevier.com http://www.elsevier.com/wps/find/journaldescription.cws_home/523412/description#description |
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 |
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 |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
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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1799132336462233600 |