Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension

Detalhes bibliográficos
Autor(a) principal: Alves, S. G.
Data de Publicação: 2014
Outros Autores: Oliveira, T. J., Ferreira, S. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1103/PhysRevE.90.020103
http://www.locus.ufv.br/handle/123456789/19023
Resumo: We show that the theoretical machinery developed for the Kardar-Parisi-Zhang (KPZ) class in low dimensions is obeyed by the restricted solid-on-solid model for substrates with dimensions up to d=6. Analyzing different restriction conditions, we show that the height distributions of the interface are universal for all investigated dimensions. It means that fluctuations are not negligible and, consequently, the system is still below the upper critical dimension at d=6. The extrapolation of the data to dimensions d≥7 predicts that the upper critical dimension of the KPZ class is infinite.
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spelling Alves, S. G.Oliveira, T. J.Ferreira, S. C.2018-04-23T11:51:55Z2018-04-23T11:51:55Z2014-05-0815393755https://doi.org/10.1103/PhysRevE.90.020103http://www.locus.ufv.br/handle/123456789/19023We show that the theoretical machinery developed for the Kardar-Parisi-Zhang (KPZ) class in low dimensions is obeyed by the restricted solid-on-solid model for substrates with dimensions up to d=6. Analyzing different restriction conditions, we show that the height distributions of the interface are universal for all investigated dimensions. It means that fluctuations are not negligible and, consequently, the system is still below the upper critical dimension at d=6. The extrapolation of the data to dimensions d≥7 predicts that the upper critical dimension of the KPZ class is infinite.engPhysical Review Ev. 90, Iss. 2, p. 020103-020105, August 2014American Physical Societyinfo:eu-repo/semantics/openAccessKardar-Parisi-Zhang classHigh dimensionsUniversality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimensioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf471601https://locus.ufv.br//bitstream/123456789/19023/1/artigo.pdfb161580de533b5cff31b3456c1f6a86bMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/19023/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4256https://locus.ufv.br//bitstream/123456789/19023/3/artigo.pdf.jpgb5fc0e0c6f4d9994fdb24f46de50fd7fMD53123456789/190232018-04-23 23:00:50.2oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-04-24T02:00:50LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
title Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
spellingShingle Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
Alves, S. G.
Kardar-Parisi-Zhang class
High dimensions
title_short Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
title_full Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
title_fullStr Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
title_full_unstemmed Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
title_sort Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and implications to its upper critical dimension
author Alves, S. G.
author_facet Alves, S. G.
Oliveira, T. J.
Ferreira, S. C.
author_role author
author2 Oliveira, T. J.
Ferreira, S. C.
author2_role author
author
dc.contributor.author.fl_str_mv Alves, S. G.
Oliveira, T. J.
Ferreira, S. C.
dc.subject.pt-BR.fl_str_mv Kardar-Parisi-Zhang class
High dimensions
topic Kardar-Parisi-Zhang class
High dimensions
description We show that the theoretical machinery developed for the Kardar-Parisi-Zhang (KPZ) class in low dimensions is obeyed by the restricted solid-on-solid model for substrates with dimensions up to d=6. Analyzing different restriction conditions, we show that the height distributions of the interface are universal for all investigated dimensions. It means that fluctuations are not negligible and, consequently, the system is still below the upper critical dimension at d=6. The extrapolation of the data to dimensions d≥7 predicts that the upper critical dimension of the KPZ class is infinite.
publishDate 2014
dc.date.issued.fl_str_mv 2014-05-08
dc.date.accessioned.fl_str_mv 2018-04-23T11:51:55Z
dc.date.available.fl_str_mv 2018-04-23T11:51:55Z
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 https://doi.org/10.1103/PhysRevE.90.020103
http://www.locus.ufv.br/handle/123456789/19023
dc.identifier.issn.none.fl_str_mv 15393755
identifier_str_mv 15393755
url https://doi.org/10.1103/PhysRevE.90.020103
http://www.locus.ufv.br/handle/123456789/19023
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 90, Iss. 2, p. 020103-020105, August 2014
dc.rights.driver.fl_str_mv American Physical Society
info:eu-repo/semantics/openAccess
rights_invalid_str_mv American Physical Society
eu_rights_str_mv openAccess
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