Controlling self-organized criticality in sandpile models

Detalhes bibliográficos
Autor(a) principal: Cajueiro, Daniel Oliveira
Data de Publicação: 2010
Outros Autores: 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/13831
Resumo: We introduce an external control to reduce the size of avalanches in some sandpile models exhibiting self-organized criticality. This rather intuitive approach seems to be missing in the vast literature on such systems. The control action, which amounts to triggering avalanches in sites that are near to become critical, reduces the probability of very large events, so that energy dissipation occurs most locally. The control is applied to a directed Abelian sandpile model driven by both uncorrelated and correlated depositions. The latter is essential to design an efficient and simple control heuristic, but has only small influence in the uncontrolled avalanche probability distribution. The proposed control seeks a trade-off between control cost and large event risk. Preliminary results hint that the proposed control works also for an undirected sandpile model.
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spelling Cajueiro, Daniel OliveiraAndrade, Roberto Fernandes SilvaCajueiro, Daniel OliveiraAndrade, Roberto Fernandes Silva2013-11-20T19:50:56Z2013-11-20T19:50:56Z20101539-3755http://repositorio.ufba.br/ri/handle/ri/13831v. 81, n. 1We introduce an external control to reduce the size of avalanches in some sandpile models exhibiting self-organized criticality. This rather intuitive approach seems to be missing in the vast literature on such systems. The control action, which amounts to triggering avalanches in sites that are near to become critical, reduces the probability of very large events, so that energy dissipation occurs most locally. The control is applied to a directed Abelian sandpile model driven by both uncorrelated and correlated depositions. The latter is essential to design an efficient and simple control heuristic, but has only small influence in the uncontrolled avalanche probability distribution. The proposed control seeks a trade-off between control cost and large event risk. Preliminary results hint that the proposed control works also for an undirected sandpile model.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-09-09T18:59:49Z No. of bitstreams: 1 PhysRevE.81.015102.pdf: 107243 bytes, checksum: 7fa814ef20e70dbb3834a737cdebd39c (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-20T19:50:56Z (GMT) No. of bitstreams: 1 PhysRevE.81.015102.pdf: 107243 bytes, checksum: 7fa814ef20e70dbb3834a737cdebd39c (MD5)Made available in DSpace on 2013-11-20T19:50:56Z (GMT). No. of bitstreams: 1 PhysRevE.81.015102.pdf: 107243 bytes, checksum: 7fa814ef20e70dbb3834a737cdebd39c (MD5) Previous issue date: 2010http://dx.doi.org/10.1103/PhysRevE.81.015102reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAControlling self-organized criticality in sandpile modelsPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINALPhysRevE.81.015102.pdfPhysRevE.81.015102.pdfapplication/pdf107243https://repositorio.ufba.br/bitstream/ri/13831/1/PhysRevE.81.015102.pdf7fa814ef20e70dbb3834a737cdebd39cMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/13831/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTPhysRevE.81.015102.pdf.txtPhysRevE.81.015102.pdf.txtExtracted texttext/plain21643https://repositorio.ufba.br/bitstream/ri/13831/3/PhysRevE.81.015102.pdf.txtd10007f2d933b1f6eda628168cb80e4bMD53ri/138312022-07-05 14:03:48.949oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Controlling self-organized criticality in sandpile models
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Controlling self-organized criticality in sandpile models
spellingShingle Controlling self-organized criticality in sandpile models
Cajueiro, Daniel Oliveira
title_short Controlling self-organized criticality in sandpile models
title_full Controlling self-organized criticality in sandpile models
title_fullStr Controlling self-organized criticality in sandpile models
title_full_unstemmed Controlling self-organized criticality in sandpile models
title_sort Controlling self-organized criticality in sandpile models
author Cajueiro, Daniel Oliveira
author_facet Cajueiro, Daniel Oliveira
Andrade, Roberto Fernandes Silva
author_role author
author2 Andrade, Roberto Fernandes Silva
author2_role author
dc.contributor.author.fl_str_mv Cajueiro, Daniel Oliveira
Andrade, Roberto Fernandes Silva
Cajueiro, Daniel Oliveira
Andrade, Roberto Fernandes Silva
description We introduce an external control to reduce the size of avalanches in some sandpile models exhibiting self-organized criticality. This rather intuitive approach seems to be missing in the vast literature on such systems. The control action, which amounts to triggering avalanches in sites that are near to become critical, reduces the probability of very large events, so that energy dissipation occurs most locally. The control is applied to a directed Abelian sandpile model driven by both uncorrelated and correlated depositions. The latter is essential to design an efficient and simple control heuristic, but has only small influence in the uncontrolled avalanche probability distribution. The proposed control seeks a trade-off between control cost and large event risk. Preliminary results hint that the proposed control works also for an undirected sandpile model.
publishDate 2010
dc.date.issued.fl_str_mv 2010
dc.date.accessioned.fl_str_mv 2013-11-20T19:50:56Z
dc.date.available.fl_str_mv 2013-11-20T19:50:56Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/13831
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 81, n. 1
identifier_str_mv 1539-3755
v. 81, n. 1
url http://repositorio.ufba.br/ri/handle/ri/13831
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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