Critical properties of an aperiodic model for interacting polymers

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2004
Outros Autores: Haddad, T. A .S., Salinas, S. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14079
Resumo: Texto completo: acesso restrito. p. 1499-1516
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spelling Andrade, Roberto Fernandes SilvaHaddad, T. A .S.Salinas, S. R.Andrade, Roberto Fernandes SilvaHaddad, T. A .S.Salinas, S. R.2013-12-10T20:25:50Z20040305-4470http://repositorio.ufba.br/ri/handle/ri/14079v. 37, n. 5Texto completo: acesso restrito. p. 1499-1516We investigate the effects of aperiodic interactions on the critical behaviour of an interacting two-polymer model on hierarchical lattices (equivalent to the Migadal–Kadanoff approximation for the model on Bravais lattices), via renormalization-group and transfer-matrix calculations. The exact renormalization-group recursion relations always present a symmetric fixed point, associated with the critical behaviour of the underlying uniform model. If the aperiodic interactions, defined by substitution rules, lead to relevant geometric fluctuations, this fixed point becomes fully unstable, giving rise to novel attractors of different nature. We present an explicit example in which this new attractor is a two-cycle attractor, with critical indices different from the uniform model. In the case of the four-letter Rudin–Shapiro substitution rule, we find a surprising closed curve whose points are attractors of period two, associated with a marginal operator. Nevertheless, a scaling analysis indicates that this attractor may lead to a new critical universality class. In order to provide an independent confirmation of the scaling results, we turn to a direct thermodynamic calculation of the specific-heat exponent. The thermodynamic free energy is obtained from a transfer-matrix formalism, which had been previously introduced for spin systems, and is now extended to the two-polymer model with aperiodic interactions.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-12-09T11:12:33Z No. of bitstreams: 1 R. F. S. 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dc.title.pt_BR.fl_str_mv Critical properties of an aperiodic model for interacting polymers
dc.title.alternative.pt_BR.fl_str_mv Journal of Physics -London- a Mathematical and General
title Critical properties of an aperiodic model for interacting polymers
spellingShingle Critical properties of an aperiodic model for interacting polymers
Andrade, Roberto Fernandes Silva
Polímeros
title_short Critical properties of an aperiodic model for interacting polymers
title_full Critical properties of an aperiodic model for interacting polymers
title_fullStr Critical properties of an aperiodic model for interacting polymers
title_full_unstemmed Critical properties of an aperiodic model for interacting polymers
title_sort Critical properties of an aperiodic model for interacting polymers
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Haddad, T. A .S.
Salinas, S. R.
author_role author
author2 Haddad, T. A .S.
Salinas, S. R.
author2_role author
author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Haddad, T. A .S.
Salinas, S. R.
Andrade, Roberto Fernandes Silva
Haddad, T. A .S.
Salinas, S. R.
dc.subject.por.fl_str_mv Polímeros
topic Polímeros
description Texto completo: acesso restrito. p. 1499-1516
publishDate 2004
dc.date.issued.fl_str_mv 2004
dc.date.accessioned.fl_str_mv 2013-12-10T20:25:50Z
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/14079
dc.identifier.issn.none.fl_str_mv 0305-4470
dc.identifier.number.pt_BR.fl_str_mv v. 37, n. 5
identifier_str_mv 0305-4470
v. 37, n. 5
url http://repositorio.ufba.br/ri/handle/ri/14079
dc.language.iso.fl_str_mv eng
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dc.source.pt_BR.fl_str_mv http://dx.doi.org/ doi:10.1088/0305-4470/37/5/003
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