Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations

Autores
Mirabella, D. A.; Aldao, Celso Manuel
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The island size distribution, at thermodynamic equilibrium, of interacting particles in a one-dimensional lattice-gas model is revisited. A derivation for the exact island size distribution of nearest neighbor interacting particles using the detailed balance principle is proposed and it is shown that it agrees with the distribution obtained by Gambardella et al who resorted to the minimization of the free energy (2006 Phys. Rev. B 73 245425). We find that the island size distributions change from an exponential shape to one exhibiting a maximum when repulsive interactions with distant neighbors are considered. In this work we present an analytical model that successfully reproduces the island size distribution obtained from Monte Carlo simulations for both interaction schemes and any coverage.
Fil: Mirabella, D. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; Argentina
Fil: Aldao, Celso Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; Argentina
Materia
Cluster Aggregation
Monte Carlo Methods
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:11336/10313
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/10313
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulationsMirabella, D. A.Aldao, Celso ManuelCluster AggregationMonte Carlo Methodshttps://purl.org/becyt/ford/2.5https://purl.org/becyt/ford/2https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The island size distribution, at thermodynamic equilibrium, of interacting particles in a one-dimensional lattice-gas model is revisited. A derivation for the exact island size distribution of nearest neighbor interacting particles using the detailed balance principle is proposed and it is shown that it agrees with the distribution obtained by Gambardella et al who resorted to the minimization of the free energy (2006 Phys. Rev. B 73 245425). We find that the island size distributions change from an exponential shape to one exhibiting a maximum when repulsive interactions with distant neighbors are considered. In this work we present an analytical model that successfully reproduces the island size distribution obtained from Monte Carlo simulations for both interaction schemes and any coverage.Fil: Mirabella, D. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; ArgentinaFil: Aldao, Celso Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; ArgentinaIop Publishing2011-03-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10313Mirabella, D. A.; Aldao, Celso Manuel; Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2011; P03011; 14-3-2011; 101742-5468enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1742-5468/2011/03/P03011info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2011/03/P03011info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:43:43Zoai:ri.conicet.gov.ar:11336/10313instacron: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:34982025-09-03 09:43:43.682CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
title Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
spellingShingle Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
Mirabella, D. A.
Cluster Aggregation
Monte Carlo Methods
title_short Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
title_full Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
title_fullStr Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
title_full_unstemmed Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
title_sort Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations
dc.creator.none.fl_str_mv Mirabella, D. A.
Aldao, Celso Manuel
author Mirabella, D. A.
author_facet Mirabella, D. A.
Aldao, Celso Manuel
author_role author
author2 Aldao, Celso Manuel
author2_role author
dc.subject.none.fl_str_mv Cluster Aggregation
Monte Carlo Methods
topic Cluster Aggregation
Monte Carlo Methods
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.5
https://purl.org/becyt/ford/2
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The island size distribution, at thermodynamic equilibrium, of interacting particles in a one-dimensional lattice-gas model is revisited. A derivation for the exact island size distribution of nearest neighbor interacting particles using the detailed balance principle is proposed and it is shown that it agrees with the distribution obtained by Gambardella et al who resorted to the minimization of the free energy (2006 Phys. Rev. B 73 245425). We find that the island size distributions change from an exponential shape to one exhibiting a maximum when repulsive interactions with distant neighbors are considered. In this work we present an analytical model that successfully reproduces the island size distribution obtained from Monte Carlo simulations for both interaction schemes and any coverage.
Fil: Mirabella, D. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; Argentina
Fil: Aldao, Celso Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; Argentina
description The island size distribution, at thermodynamic equilibrium, of interacting particles in a one-dimensional lattice-gas model is revisited. A derivation for the exact island size distribution of nearest neighbor interacting particles using the detailed balance principle is proposed and it is shown that it agrees with the distribution obtained by Gambardella et al who resorted to the minimization of the free energy (2006 Phys. Rev. B 73 245425). We find that the island size distributions change from an exponential shape to one exhibiting a maximum when repulsive interactions with distant neighbors are considered. In this work we present an analytical model that successfully reproduces the island size distribution obtained from Monte Carlo simulations for both interaction schemes and any coverage.
publishDate 2011
dc.date.none.fl_str_mv 2011-03-14
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/11336/10313
Mirabella, D. A.; Aldao, Celso Manuel; Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2011; P03011; 14-3-2011; 10
1742-5468
url http://hdl.handle.net/11336/10313
identifier_str_mv Mirabella, D. A.; Aldao, Celso Manuel; Equilibrium island-size distribution in one dimension revisited: analytical models and Monte Carlo simulations; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2011; P03011; 14-3-2011; 10
1742-5468
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1742-5468/2011/03/P03011
info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2011/03/P03011
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
_version_ 1842268618157457408
score 13.13397

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