Critical behavior of long linear k-mers on honeycomb lattices

Autores
Matoz Fernandez, Daniel Alejandro; Linares, Daniel Humberto; Ramirez Pastor, Antonio Jose
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Monte Carlo (MC) simulations, finite-size scaling and theoretical analysis have been carried out to study the critical behavior of long linear particles of length k (k-mers) on honeycomb lattices. A nematic phase, characterized by a big domain of parallel k-mers, is separated from the isotropic state, by a continuous transition occurring at a finite density θc. Our study allowed: (1) to determine the minimum value of k (kmin), which allows the formation of the nematic phase, being kmin = 11; (2) to predict the dependence of θc on k, being θc (k) ∝ k- 1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class.
Fil: Matoz Fernandez, Daniel Alejandro. 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: Linares, Daniel Humberto. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
Fil: Ramirez Pastor, Antonio Jose. 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
LATTICE THEORY AND STATISTICS (ISING, POTTS, ETC.)
NUMERICAL SIMULATION STUDIES
TRANSITIONS IN LIQUID CRYSTALS
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:11336/136368
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Critical behavior of long linear k-mers on honeycomb latticesMatoz Fernandez, Daniel AlejandroLinares, Daniel HumbertoRamirez Pastor, Antonio JoseLATTICE THEORY AND STATISTICS (ISING, POTTS, ETC.)NUMERICAL SIMULATION STUDIESTRANSITIONS IN LIQUID CRYSTALShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Monte Carlo (MC) simulations, finite-size scaling and theoretical analysis have been carried out to study the critical behavior of long linear particles of length k (k-mers) on honeycomb lattices. A nematic phase, characterized by a big domain of parallel k-mers, is separated from the isotropic state, by a continuous transition occurring at a finite density θc. Our study allowed: (1) to determine the minimum value of k (kmin), which allows the formation of the nematic phase, being kmin = 11; (2) to predict the dependence of θc on k, being θc (k) ∝ k- 1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class.Fil: Matoz Fernandez, Daniel Alejandro. 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: Linares, Daniel Humberto. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; ArgentinaFil: Ramirez Pastor, Antonio Jose. 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"; ArgentinaElsevier Science2008-11-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/136368Matoz Fernandez, Daniel Alejandro; Linares, Daniel Humberto; Ramirez Pastor, Antonio Jose; Critical behavior of long linear k-mers on honeycomb lattices; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 387; 26; 15-11-2008; 6513-65250378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0378437108007127info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2008.08.010info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:04:30Zoai:ri.conicet.gov.ar:11336/136368instacron: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:34982025-10-22 11:04:30.872CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Critical behavior of long linear k-mers on honeycomb lattices
title Critical behavior of long linear k-mers on honeycomb lattices
spellingShingle Critical behavior of long linear k-mers on honeycomb lattices
Matoz Fernandez, Daniel Alejandro
LATTICE THEORY AND STATISTICS (ISING, POTTS, ETC.)
NUMERICAL SIMULATION STUDIES
TRANSITIONS IN LIQUID CRYSTALS
title_short Critical behavior of long linear k-mers on honeycomb lattices
title_full Critical behavior of long linear k-mers on honeycomb lattices
title_fullStr Critical behavior of long linear k-mers on honeycomb lattices
title_full_unstemmed Critical behavior of long linear k-mers on honeycomb lattices
title_sort Critical behavior of long linear k-mers on honeycomb lattices
dc.creator.none.fl_str_mv Matoz Fernandez, Daniel Alejandro
Linares, Daniel Humberto
Ramirez Pastor, Antonio Jose
author Matoz Fernandez, Daniel Alejandro
author_facet Matoz Fernandez, Daniel Alejandro
Linares, Daniel Humberto
Ramirez Pastor, Antonio Jose
author_role author
author2 Linares, Daniel Humberto
Ramirez Pastor, Antonio Jose
author2_role author
author
dc.subject.none.fl_str_mv LATTICE THEORY AND STATISTICS (ISING, POTTS, ETC.)
NUMERICAL SIMULATION STUDIES
TRANSITIONS IN LIQUID CRYSTALS
topic LATTICE THEORY AND STATISTICS (ISING, POTTS, ETC.)
NUMERICAL SIMULATION STUDIES
TRANSITIONS IN LIQUID CRYSTALS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Monte Carlo (MC) simulations, finite-size scaling and theoretical analysis have been carried out to study the critical behavior of long linear particles of length k (k-mers) on honeycomb lattices. A nematic phase, characterized by a big domain of parallel k-mers, is separated from the isotropic state, by a continuous transition occurring at a finite density θc. Our study allowed: (1) to determine the minimum value of k (kmin), which allows the formation of the nematic phase, being kmin = 11; (2) to predict the dependence of θc on k, being θc (k) ∝ k- 1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class.
Fil: Matoz Fernandez, Daniel Alejandro. 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: Linares, Daniel Humberto. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
Fil: Ramirez Pastor, Antonio Jose. 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 (MC) simulations, finite-size scaling and theoretical analysis have been carried out to study the critical behavior of long linear particles of length k (k-mers) on honeycomb lattices. A nematic phase, characterized by a big domain of parallel k-mers, is separated from the isotropic state, by a continuous transition occurring at a finite density θc. Our study allowed: (1) to determine the minimum value of k (kmin), which allows the formation of the nematic phase, being kmin = 11; (2) to predict the dependence of θc on k, being θc (k) ∝ k- 1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class.
publishDate 2008
dc.date.none.fl_str_mv 2008-11-15
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/11336/136368
Matoz Fernandez, Daniel Alejandro; Linares, Daniel Humberto; Ramirez Pastor, Antonio Jose; Critical behavior of long linear k-mers on honeycomb lattices; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 387; 26; 15-11-2008; 6513-6525
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/136368
identifier_str_mv Matoz Fernandez, Daniel Alejandro; Linares, Daniel Humberto; Ramirez Pastor, Antonio Jose; Critical behavior of long linear k-mers on honeycomb lattices; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 387; 26; 15-11-2008; 6513-6525
0378-4371
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://www.sciencedirect.com/science/article/abs/pii/S0378437108007127
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2008.08.010
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
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 12.982451

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