Universality class of interacting k-mers in a two-dimensional lattice system

Autores
Romá, Federico José; Ramirez Pastor, Antonio Jose; Riccardo, Jose Luis
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer two-dimensional gas of repulsive linear k-mers on a square lattice at half coverage. A (2k×2) ordered phase, characterized by alternating files of k-mers separated by k adjacent empty sites, is separated from the disordered state by a order-disorder phase transition occurring at a finite critical temperature. Based on the strong axial anisotropy of the low-temperature phase for k≥2, an order parameter measuring the orientation of the particles has been introduced. Taking advantage of its definition, an accurate determination of the critical exponents has been obtained for three adsorbate sizes. Namely, ν=0.53(1), β=0.02(1), γ=1.14(3), and α=0.93(3) for k=2 (dimers); ν=0.54(1), β=0.03(1), γ=1.16(3), and α=0.89(3) for k=3 (trimers); and ν=0.53(2), β=0.02(1), γ=1.14(3), and α=0.89(4) for k=4 (tetramers). In the studied cases, the results reveal that the system does not belong to the universality class of the two-dimensional Ising model (k=1, monomers). We pointed out that the breaking of the orientational symmetry characterizing the low-temperature phase for particles occupying more than one site is the main source of this change in the universality class. Consequently, we suggested that the behavior observed for dimers, trimers, and tetramers could be generalized to include larger particle sizes (k≥2). Finally, hyperscaling relations have been validated, leading to independent controls and consistency checks of the values of all the critical exponents. © 2005 The American Physical Society.
Fil: Romá, Federico José. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Ramirez Pastor, Antonio Jose. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Riccardo, Jose Luis. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Materia
Monte Carlo simulations
k-mers
Two-dimensional Ising model
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:11336/141184
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/141184
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Universality class of interacting k-mers in a two-dimensional lattice systemRomá, Federico JoséRamirez Pastor, Antonio JoseRiccardo, Jose LuisMonte Carlo simulationsk-mersTwo-dimensional Ising modelhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer two-dimensional gas of repulsive linear k-mers on a square lattice at half coverage. A (2k×2) ordered phase, characterized by alternating files of k-mers separated by k adjacent empty sites, is separated from the disordered state by a order-disorder phase transition occurring at a finite critical temperature. Based on the strong axial anisotropy of the low-temperature phase for k≥2, an order parameter measuring the orientation of the particles has been introduced. Taking advantage of its definition, an accurate determination of the critical exponents has been obtained for three adsorbate sizes. Namely, ν=0.53(1), β=0.02(1), γ=1.14(3), and α=0.93(3) for k=2 (dimers); ν=0.54(1), β=0.03(1), γ=1.16(3), and α=0.89(3) for k=3 (trimers); and ν=0.53(2), β=0.02(1), γ=1.14(3), and α=0.89(4) for k=4 (tetramers). In the studied cases, the results reveal that the system does not belong to the universality class of the two-dimensional Ising model (k=1, monomers). We pointed out that the breaking of the orientational symmetry characterizing the low-temperature phase for particles occupying more than one site is the main source of this change in the universality class. Consequently, we suggested that the behavior observed for dimers, trimers, and tetramers could be generalized to include larger particle sizes (k≥2). Finally, hyperscaling relations have been validated, leading to independent controls and consistency checks of the values of all the critical exponents. © 2005 The American Physical Society.Fil: Romá, Federico José. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaFil: Ramirez Pastor, Antonio Jose. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaFil: Riccardo, Jose Luis. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaAmerican Physical Society2005-07-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/141184Romá, Federico José; Ramirez Pastor, Antonio Jose; Riccardo, Jose Luis; Universality class of interacting k-mers in a two-dimensional lattice system; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 72; 3; 15-7-2005; 1-8; 0354441098-01211550-235XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.72.035444info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.72.035444info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:16:20Zoai:ri.conicet.gov.ar:11336/141184instacron: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 15:16:20.992CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Universality class of interacting k-mers in a two-dimensional lattice system
title Universality class of interacting k-mers in a two-dimensional lattice system
spellingShingle Universality class of interacting k-mers in a two-dimensional lattice system
Romá, Federico José
Monte Carlo simulations
k-mers
Two-dimensional Ising model
title_short Universality class of interacting k-mers in a two-dimensional lattice system
title_full Universality class of interacting k-mers in a two-dimensional lattice system
title_fullStr Universality class of interacting k-mers in a two-dimensional lattice system
title_full_unstemmed Universality class of interacting k-mers in a two-dimensional lattice system
title_sort Universality class of interacting k-mers in a two-dimensional lattice system
dc.creator.none.fl_str_mv Romá, Federico José
Ramirez Pastor, Antonio Jose
Riccardo, Jose Luis
author Romá, Federico José
author_facet Romá, Federico José
Ramirez Pastor, Antonio Jose
Riccardo, Jose Luis
author_role author
author2 Ramirez Pastor, Antonio Jose
Riccardo, Jose Luis
author2_role author
author
dc.subject.none.fl_str_mv Monte Carlo simulations
k-mers
Two-dimensional Ising model
topic Monte Carlo simulations
k-mers
Two-dimensional Ising model
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer two-dimensional gas of repulsive linear k-mers on a square lattice at half coverage. A (2k×2) ordered phase, characterized by alternating files of k-mers separated by k adjacent empty sites, is separated from the disordered state by a order-disorder phase transition occurring at a finite critical temperature. Based on the strong axial anisotropy of the low-temperature phase for k≥2, an order parameter measuring the orientation of the particles has been introduced. Taking advantage of its definition, an accurate determination of the critical exponents has been obtained for three adsorbate sizes. Namely, ν=0.53(1), β=0.02(1), γ=1.14(3), and α=0.93(3) for k=2 (dimers); ν=0.54(1), β=0.03(1), γ=1.16(3), and α=0.89(3) for k=3 (trimers); and ν=0.53(2), β=0.02(1), γ=1.14(3), and α=0.89(4) for k=4 (tetramers). In the studied cases, the results reveal that the system does not belong to the universality class of the two-dimensional Ising model (k=1, monomers). We pointed out that the breaking of the orientational symmetry characterizing the low-temperature phase for particles occupying more than one site is the main source of this change in the universality class. Consequently, we suggested that the behavior observed for dimers, trimers, and tetramers could be generalized to include larger particle sizes (k≥2). Finally, hyperscaling relations have been validated, leading to independent controls and consistency checks of the values of all the critical exponents. © 2005 The American Physical Society.
Fil: Romá, Federico José. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Ramirez Pastor, Antonio Jose. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Riccardo, Jose Luis. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Fisica. Laboratorio de Ciencias de Superficies y Medios Porosos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
description Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer two-dimensional gas of repulsive linear k-mers on a square lattice at half coverage. A (2k×2) ordered phase, characterized by alternating files of k-mers separated by k adjacent empty sites, is separated from the disordered state by a order-disorder phase transition occurring at a finite critical temperature. Based on the strong axial anisotropy of the low-temperature phase for k≥2, an order parameter measuring the orientation of the particles has been introduced. Taking advantage of its definition, an accurate determination of the critical exponents has been obtained for three adsorbate sizes. Namely, ν=0.53(1), β=0.02(1), γ=1.14(3), and α=0.93(3) for k=2 (dimers); ν=0.54(1), β=0.03(1), γ=1.16(3), and α=0.89(3) for k=3 (trimers); and ν=0.53(2), β=0.02(1), γ=1.14(3), and α=0.89(4) for k=4 (tetramers). In the studied cases, the results reveal that the system does not belong to the universality class of the two-dimensional Ising model (k=1, monomers). We pointed out that the breaking of the orientational symmetry characterizing the low-temperature phase for particles occupying more than one site is the main source of this change in the universality class. Consequently, we suggested that the behavior observed for dimers, trimers, and tetramers could be generalized to include larger particle sizes (k≥2). Finally, hyperscaling relations have been validated, leading to independent controls and consistency checks of the values of all the critical exponents. © 2005 The American Physical Society.
publishDate 2005
dc.date.none.fl_str_mv 2005-07-15
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/11336/141184
Romá, Federico José; Ramirez Pastor, Antonio Jose; Riccardo, Jose Luis; Universality class of interacting k-mers in a two-dimensional lattice system; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 72; 3; 15-7-2005; 1-8; 035444
1098-0121
1550-235X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/141184
identifier_str_mv Romá, Federico José; Ramirez Pastor, Antonio Jose; Riccardo, Jose Luis; Universality class of interacting k-mers in a two-dimensional lattice system; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 72; 3; 15-7-2005; 1-8; 035444
1098-0121
1550-235X
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/prb/abstract/10.1103/PhysRevB.72.035444
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.72.035444
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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