Self-avoiding walks on a bilayer Bethe lattice

Autores
Serra, Pablo; Stilck, Jurgen F.
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose and study a model of polymer chains in a bilayer. Eachchain is confined in one of the layers and polymer bonds on first neighbor edgesin different layers interact. We also define and comment on results for a modelwith interactions between monomers on first neighbor sites of different layers.The thermodynamic properties of the model are studied in the grand-canonicalformalism and both layers are considered to be Cayley trees. In the core regionof the trees, which we call a bilayer Bethe lattice, we find a very rich phasediagram in the parameter space defined by the two activities of monomers andthe Boltzmann factor associated with the interlayer interaction between bonds ormonomers. In addition to critical and coexistence surfaces, there are tricritical,bicritical and critical endpoint lines, as well as higher order multicritical points.
Fil: Serra, Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Stilck, Jurgen F.. Universidade Federal Fluminense; Brasil
Materia
Classical Phase Transitions (Theory)
Phase Diagrams (Theory)
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/31695
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Self-avoiding walks on a bilayer Bethe latticeSerra, PabloStilck, Jurgen F.Classical Phase Transitions (Theory)Phase Diagrams (Theory)https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We propose and study a model of polymer chains in a bilayer. Eachchain is confined in one of the layers and polymer bonds on first neighbor edgesin different layers interact. We also define and comment on results for a modelwith interactions between monomers on first neighbor sites of different layers.The thermodynamic properties of the model are studied in the grand-canonicalformalism and both layers are considered to be Cayley trees. In the core regionof the trees, which we call a bilayer Bethe lattice, we find a very rich phasediagram in the parameter space defined by the two activities of monomers andthe Boltzmann factor associated with the interlayer interaction between bonds ormonomers. In addition to critical and coexistence surfaces, there are tricritical,bicritical and critical endpoint lines, as well as higher order multicritical points.Fil: Serra, Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Stilck, Jurgen F.. Universidade Federal Fluminense; BrasilIOP Publishing2014-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31695Serra, Pablo; Stilck, Jurgen F.; Self-avoiding walks on a bilayer Bethe lattice; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2014; 4-2014; 1-161742-5468CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2014/04/P04002info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2014/04/P04002/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:27Zoai:ri.conicet.gov.ar:11336/31695instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:33:27.797CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Self-avoiding walks on a bilayer Bethe lattice
title Self-avoiding walks on a bilayer Bethe lattice
spellingShingle Self-avoiding walks on a bilayer Bethe lattice
Serra, Pablo
Classical Phase Transitions (Theory)
Phase Diagrams (Theory)
title_short Self-avoiding walks on a bilayer Bethe lattice
title_full Self-avoiding walks on a bilayer Bethe lattice
title_fullStr Self-avoiding walks on a bilayer Bethe lattice
title_full_unstemmed Self-avoiding walks on a bilayer Bethe lattice
title_sort Self-avoiding walks on a bilayer Bethe lattice
dc.creator.none.fl_str_mv Serra, Pablo
Stilck, Jurgen F.
author Serra, Pablo
author_facet Serra, Pablo
Stilck, Jurgen F.
author_role author
author2 Stilck, Jurgen F.
author2_role author
dc.subject.none.fl_str_mv Classical Phase Transitions (Theory)
Phase Diagrams (Theory)
topic Classical Phase Transitions (Theory)
Phase Diagrams (Theory)
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We propose and study a model of polymer chains in a bilayer. Eachchain is confined in one of the layers and polymer bonds on first neighbor edgesin different layers interact. We also define and comment on results for a modelwith interactions between monomers on first neighbor sites of different layers.The thermodynamic properties of the model are studied in the grand-canonicalformalism and both layers are considered to be Cayley trees. In the core regionof the trees, which we call a bilayer Bethe lattice, we find a very rich phasediagram in the parameter space defined by the two activities of monomers andthe Boltzmann factor associated with the interlayer interaction between bonds ormonomers. In addition to critical and coexistence surfaces, there are tricritical,bicritical and critical endpoint lines, as well as higher order multicritical points.
Fil: Serra, Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Stilck, Jurgen F.. Universidade Federal Fluminense; Brasil
description We propose and study a model of polymer chains in a bilayer. Eachchain is confined in one of the layers and polymer bonds on first neighbor edgesin different layers interact. We also define and comment on results for a modelwith interactions between monomers on first neighbor sites of different layers.The thermodynamic properties of the model are studied in the grand-canonicalformalism and both layers are considered to be Cayley trees. In the core regionof the trees, which we call a bilayer Bethe lattice, we find a very rich phasediagram in the parameter space defined by the two activities of monomers andthe Boltzmann factor associated with the interlayer interaction between bonds ormonomers. In addition to critical and coexistence surfaces, there are tricritical,bicritical and critical endpoint lines, as well as higher order multicritical points.
publishDate 2014
dc.date.none.fl_str_mv 2014-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/31695
Serra, Pablo; Stilck, Jurgen F.; Self-avoiding walks on a bilayer Bethe lattice; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2014; 4-2014; 1-16
1742-5468
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31695
identifier_str_mv Serra, Pablo; Stilck, Jurgen F.; Self-avoiding walks on a bilayer Bethe lattice; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2014; 4-2014; 1-16
1742-5468
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2014/04/P04002
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2014/04/P04002/meta
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.069144

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