Analytical approach to directed sandpile models on the Apollonian network

Detalhes bibliográficos
Autor(a) principal: Vieira, André P.
Data de Publicação: 2007
Outros Autores: Andrade Júnior, José Soares de, Herrmann, Hans J., Andrade, Roberto Fernandes Silva
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14606
Resumo: p. 1-8
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spelling Vieira, André P.Andrade Júnior, José Soares deHerrmann, Hans J.Andrade, Roberto Fernandes Silva2014-02-13T18:09:18Z2014-02-13T18:09:18Z20071539-3755http://repositorio.ufba.br/ri/handle/ri/14606v. 76, n. 2p. 1-8We investigate a set of directed sandpile models on the Apollonian network, which are inspired by the work of Dhar and Ramaswamy [Phys. Rev. Lett. 63, 1659 (1989)] on Euclidian lattices. They are characterized by a single parameter q, which restricts the number of neighbors receiving grains from a toppling node. Due to the geometry of the network, two- and three-point correlation functions are amenable to exact treatment, leading to analytical results for avalanche distributions in the limit of an infinite system for q=1,2. The exact recurrence expressions for the correlation functions are numerically iterated to obtain results for finite-size systems when larger values of q are considered. Finally, a detailed description of the local flux properties is provided by a multifractal scaling analysis.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2014-01-21T11:44:22Z No. of bitstreams: 1 PhysRevE.76.026111.pdf: 207822 bytes, checksum: d7dadf30179dd9f5f66e3035f18d42ac (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2014-02-13T18:09:18Z (GMT) No. of bitstreams: 1 PhysRevE.76.026111.pdf: 207822 bytes, checksum: d7dadf30179dd9f5f66e3035f18d42ac (MD5)Made available in DSpace on 2014-02-13T18:09:18Z (GMT). No. of bitstreams: 1 PhysRevE.76.026111.pdf: 207822 bytes, checksum: d7dadf30179dd9f5f66e3035f18d42ac (MD5) Previous issue date: 2007http://dx.doi.org/10.1103/PhysRevE.76.026111reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAAnalytical approach to directed sandpile models on the Apollonian networkPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengORIGINALPhysRevE.76.026111.pdfPhysRevE.76.026111.pdfapplication/pdf207822https://repositorio.ufba.br/bitstream/ri/14606/1/PhysRevE.76.026111.pdfd7dadf30179dd9f5f66e3035f18d42acMD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14606/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTPhysRevE.76.026111.pdf.txtPhysRevE.76.026111.pdf.txtExtracted texttext/plain31141https://repositorio.ufba.br/bitstream/ri/14606/3/PhysRevE.76.026111.pdf.txt9b1f5dc9c451ea32bc15d6812ac451e4MD53ri/146062022-03-10 13:54:23.767oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-03-10T16:54:23Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Analytical approach to directed sandpile models on the Apollonian network
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Analytical approach to directed sandpile models on the Apollonian network
spellingShingle Analytical approach to directed sandpile models on the Apollonian network
Vieira, André P.
title_short Analytical approach to directed sandpile models on the Apollonian network
title_full Analytical approach to directed sandpile models on the Apollonian network
title_fullStr Analytical approach to directed sandpile models on the Apollonian network
title_full_unstemmed Analytical approach to directed sandpile models on the Apollonian network
title_sort Analytical approach to directed sandpile models on the Apollonian network
author Vieira, André P.
author_facet Vieira, André P.
Andrade Júnior, José Soares de
Herrmann, Hans J.
Andrade, Roberto Fernandes Silva
author_role author
author2 Andrade Júnior, José Soares de
Herrmann, Hans J.
Andrade, Roberto Fernandes Silva
author2_role author
author
author
dc.contributor.author.fl_str_mv Vieira, André P.
Andrade Júnior, José Soares de
Herrmann, Hans J.
Andrade, Roberto Fernandes Silva
description p. 1-8
publishDate 2007
dc.date.issued.fl_str_mv 2007
dc.date.accessioned.fl_str_mv 2014-02-13T18:09:18Z
dc.date.available.fl_str_mv 2014-02-13T18:09:18Z
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://repositorio.ufba.br/ri/handle/ri/14606
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 76, n. 2
identifier_str_mv 1539-3755
v. 76, n. 2
url http://repositorio.ufba.br/ri/handle/ri/14606
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.publisher.country.fl_str_mv Brasil
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1103/PhysRevE.76.026111
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