Percolation model with continuously varying exponents

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2013
Outros Autores: Herrmann, H. J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/15868
Resumo: p. 1-9
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spelling Andrade, Roberto Fernandes SilvaHerrmann, H. J.Andrade, Roberto Fernandes SilvaHerrmann, H. J.2014-09-09T14:23:38Z2014-09-09T14:23:38Z20131539-3755http://repositorio.ufba.br/ri/handle/ri/15868v. 88, n. 4p. 1-9This work analyzes a percolation model on the diamond hierarchical lattice (DHL), where the percolation transition is retarded by the inclusion of a probability of erasing specific connected structures. It has been inspired by the recent interest on the existence of other universality classes of percolation models. The exact scale invariance and renormalization properties of DHL leads to recurrence maps, from which analytical expressions for the critical exponents and precise numerical results in the limit of very large lattices can be derived. The critical exponents ν and β of the investigated model vary continuously as the erasing probability changes. An adequate choice of the erasing probability leads to the result ν=∞, like in some phase transitions involving vortex formation. The percolation transition is continuous, with β>0, but β can be as small as desired. The modified percolation model turns out to be equivalent to the Q→1 limit of a Potts model with specific long range interactions on the same lattice.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2014-04-22T15:59:35Z No. of bitstreams: 1 10.1103PhysRevE.88.042122.pdf: 358066 bytes, checksum: d9a397972fbdbf85b551dab7dc4c3b0e (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2014-09-09T14:23:38Z (GMT) No. of bitstreams: 1 10.1103PhysRevE.88.042122.pdf: 358066 bytes, checksum: d9a397972fbdbf85b551dab7dc4c3b0e (MD5)Made available in DSpace on 2014-09-09T14:23:38Z (GMT). No. of bitstreams: 1 10.1103PhysRevE.88.042122.pdf: 358066 bytes, checksum: d9a397972fbdbf85b551dab7dc4c3b0e (MD5) Previous issue date: 2013http://dx.doi.org/10.1103/PhysRevLett.112.068103reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAPercolation model with continuously varying exponentsPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengLICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/15868/2/license.txt0d4b811ef71182510d2015daa7c8a900MD52ORIGINAL10.1103PhysRevE.88.042122.pdf10.1103PhysRevE.88.042122.pdfapplication/pdf358066https://repositorio.ufba.br/bitstream/ri/15868/1/10.1103PhysRevE.88.042122.pdfd9a397972fbdbf85b551dab7dc4c3b0eMD51TEXT10.1103PhysRevE.88.042122.pdf.txt10.1103PhysRevE.88.042122.pdf.txtExtracted texttext/plain46632https://repositorio.ufba.br/bitstream/ri/15868/3/10.1103PhysRevE.88.042122.pdf.txtd17fb7e6ec95dd2c452485a76a032034MD53ri/158682022-08-08 13:17:29.085oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:17:29Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Percolation model with continuously varying exponents
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Percolation model with continuously varying exponents
spellingShingle Percolation model with continuously varying exponents
Andrade, Roberto Fernandes Silva
title_short Percolation model with continuously varying exponents
title_full Percolation model with continuously varying exponents
title_fullStr Percolation model with continuously varying exponents
title_full_unstemmed Percolation model with continuously varying exponents
title_sort Percolation model with continuously varying exponents
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Herrmann, H. J.
author_role author
author2 Herrmann, H. J.
author2_role author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Herrmann, H. J.
Andrade, Roberto Fernandes Silva
Herrmann, H. J.
description p. 1-9
publishDate 2013
dc.date.issued.fl_str_mv 2013
dc.date.accessioned.fl_str_mv 2014-09-09T14:23:38Z
dc.date.available.fl_str_mv 2014-09-09T14:23:38Z
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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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/15868
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 88, n. 4
identifier_str_mv 1539-3755
v. 88, n. 4
url http://repositorio.ufba.br/ri/handle/ri/15868
dc.language.iso.fl_str_mv eng
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