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
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/136368
Ver los metadatos del registro completo
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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 |
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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 |
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eng |
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eng |
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Elsevier Science |
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Elsevier Science |
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