Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden

Autores
Serra, Pablo; Stilck, Jürgen F.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We generalize earlier calculations of the RA (immediate reversals allowed) and RF (immediate reversals forbidden) model with multiple monomers per site, including a parameter in the model, so that both cases studied before are particular cases of the model considered here. Also, we calculate the bulk free energy of the model using Gujrati’s prescription, which leads to corrections in the localization of coexistence lines and qualitative changes in the phase diagram of the model. Thus, this calculation provides an example in which the use of the method of iterating recursion relations starting with natural initial conditions to locate coexistence loci is not trustworthy and may lead to qualitatively different results. A continuous collapse transition appears in all cases as a tricritical point.
Fil: Serra, Pablo. 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, Jürgen F.. Universidade Federal Fluminense; Brasil
Materia
Bethe lattice
phase diagram
polymers
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:11336/271351
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbiddenSerra, PabloStilck, Jürgen F.Bethe latticephase diagrampolymershttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We generalize earlier calculations of the RA (immediate reversals allowed) and RF (immediate reversals forbidden) model with multiple monomers per site, including a parameter in the model, so that both cases studied before are particular cases of the model considered here. Also, we calculate the bulk free energy of the model using Gujrati’s prescription, which leads to corrections in the localization of coexistence lines and qualitative changes in the phase diagram of the model. Thus, this calculation provides an example in which the use of the method of iterating recursion relations starting with natural initial conditions to locate coexistence loci is not trustworthy and may lead to qualitatively different results. A continuous collapse transition appears in all cases as a tricritical point.Fil: Serra, Pablo. 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, Jürgen F.. Universidade Federal Fluminense; BrasilAmerican Physical Society2011-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/271351Serra, Pablo; Stilck, Jürgen F.; Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 83; 1; 1-2011; 1-41063-651XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.012101info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.83.012101info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:24:10Zoai:ri.conicet.gov.ar:11336/271351instacron: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:34982025-10-15 14:24:10.89CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
title Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
spellingShingle Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
Serra, Pablo
Bethe lattice
phase diagram
polymers
title_short Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
title_full Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
title_fullStr Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
title_full_unstemmed Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
title_sort Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden
dc.creator.none.fl_str_mv Serra, Pablo
Stilck, Jürgen F.
author Serra, Pablo
author_facet Serra, Pablo
Stilck, Jürgen F.
author_role author
author2 Stilck, Jürgen F.
author2_role author
dc.subject.none.fl_str_mv Bethe lattice
phase diagram
polymers
topic Bethe lattice
phase diagram
polymers
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 generalize earlier calculations of the RA (immediate reversals allowed) and RF (immediate reversals forbidden) model with multiple monomers per site, including a parameter in the model, so that both cases studied before are particular cases of the model considered here. Also, we calculate the bulk free energy of the model using Gujrati’s prescription, which leads to corrections in the localization of coexistence lines and qualitative changes in the phase diagram of the model. Thus, this calculation provides an example in which the use of the method of iterating recursion relations starting with natural initial conditions to locate coexistence loci is not trustworthy and may lead to qualitatively different results. A continuous collapse transition appears in all cases as a tricritical point.
Fil: Serra, Pablo. 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, Jürgen F.. Universidade Federal Fluminense; Brasil
description We generalize earlier calculations of the RA (immediate reversals allowed) and RF (immediate reversals forbidden) model with multiple monomers per site, including a parameter in the model, so that both cases studied before are particular cases of the model considered here. Also, we calculate the bulk free energy of the model using Gujrati’s prescription, which leads to corrections in the localization of coexistence lines and qualitative changes in the phase diagram of the model. Thus, this calculation provides an example in which the use of the method of iterating recursion relations starting with natural initial conditions to locate coexistence loci is not trustworthy and may lead to qualitatively different results. A continuous collapse transition appears in all cases as a tricritical point.
publishDate 2011
dc.date.none.fl_str_mv 2011-01
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/11336/271351
Serra, Pablo; Stilck, Jürgen F.; Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 83; 1; 1-2011; 1-4
1063-651X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/271351
identifier_str_mv Serra, Pablo; Stilck, Jürgen F.; Walks with up to two monomers per site on the Bethe lattice: Interpolation between models with immediate reversals allowed and immediate reversals forbidden; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 83; 1; 1-2011; 1-4
1063-651X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.012101
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.83.012101
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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 13.22299

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